Numerical Analysis

Authors and titles for math.NA in May 2023

[1]  arXiv:2305.00066 [pdf, other]

Title: The Kolmogorov N-width for linear transport: Exact representation and the influence of the data

Authors: Florian Arbes, Constantin Greif, Karsten Urban

Subjects: Numerical Analysis (math.NA)

[2]  arXiv:2305.00072 [pdf, other]

Title: Discontinuous Galerkin methods for a first-order semi-linear hyperbolic continuum model of a topological resonator dimer array

Authors: Qiang Du, Huaiyu Li, Michael Weinstein, Lu Zhang

Subjects: Numerical Analysis (math.NA); Mathematical Physics (math-ph)

[3]  arXiv:2305.00105 [pdf, ps, other]

Title: Modeling of mixed-mechanism stimulation for the enhancement of geothermal reservoirs

Authors: Hau Trung Dang, Eirik Keilegavlen, Inga Berre

Subjects: Numerical Analysis (math.NA)

[4]  arXiv:2305.00150 [src]

Title: A locking-free mixed enriched Galerkin method of arbitrary order for linear elasticity using the stress-displacement formulation

Authors: Zhongshu Zhao, Hui Peng, Qilong Zhai, Qian Zhang

Comments: An error is identified in the analysis of inf-sup condition on page 16

Subjects: Numerical Analysis (math.NA)

[5]  arXiv:2305.00232 [pdf, ps, other]

Title: New results for variational regularization with oversmoothing penalty term in Banach spaces

Authors: Bernd Hofmann, Chantal Klinkhammer, Robert Plato

Comments: arXiv admin note: substantial text overlap with arXiv:2206.02010

Subjects: Numerical Analysis (math.NA)

[6]  arXiv:2305.00275 [pdf, ps, other]

Title: A spectral method for a Fokker-Planck equation in neuroscience with applications in neural networks with learning rules

Authors: Pei Zhang, Yanli Wang, Zhennan Zhou

Subjects: Numerical Analysis (math.NA)

[7]  arXiv:2305.00407 [pdf, ps, other]

Title: An optimal error estimate for a mixed finite element method for a biharmonic problem with clamped boundary conditions

Authors: Bishnu P Lamichhane

Subjects: Numerical Analysis (math.NA)

[8]  arXiv:2305.00464 [pdf, ps, other]

Title: Unified high-order multi-scale method for mechanical behavior simulation and strength prediction of composite plate and shell structures

Authors: Ge Bu-Feng, Gao Ming-Yuan, Dong Hao

Comments: in Chinese language

Subjects: Numerical Analysis (math.NA)

[9]  arXiv:2305.00466 [pdf, other]

Title: Efficient and accurate nonlinear model reduction via first-order empirical interpolation

Authors: Ngoc Cuong Nguyen, Jaime Peraire

Comments: 38 pages, 6 figures, 6 tables

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[10]  arXiv:2305.00485 [pdf, other]

Title: Representing the Special Linear Group with Block Unitriangular Matrices

Authors: John Urschel

Subjects: Numerical Analysis (math.NA)

[11]  arXiv:2305.00540 [pdf, other]

Title: SRL-Assisted AFM: Generating Planar Unstructured Quadrilateral Meshes with Supervised and Reinforcement Learning-Assisted Advancing Front Method

Authors: Hua Tong, Kuanren Qian, Eni Halilaj, Yongjie Jessica Zhang

Comments: 18 pages, 11 figures, submitted to Journal of Computational Science

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG)

[12]  arXiv:2305.00717 [pdf, other]

Title: Quality of approximating a mass-emitting object by a point source in a diffusion model

Authors: Qiyao Peng, Sander C. Hille

Subjects: Numerical Analysis (math.NA)

[13]  arXiv:2305.00723 [pdf, other]

Title: Predictions Based on Pixel Data: Insights from PDEs and Finite Differences

Authors: Elena Celledoni, James Jackaman, Davide Murari, Brynjulf Owren

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG)

[14]  arXiv:2305.00749 [pdf, ps, other]

Title: Robust Low-Tubal-rank tensor recovery Using Discrete Empirical Interpolation Method with Optimized Slice/Feature Selection

Authors: Salman Ahmadi-Asl, Anh-Huy Phan, Cesar F. Caiafa, Andrzej Cichocki

Subjects: Numerical Analysis (math.NA)

[15]  arXiv:2305.00754 [pdf, other]

Title: A note on generalized tensor CUR approximation for tensor pairs and tensor triplets based on the tubal product

Authors: Salman Ahmadi-Asl

Subjects: Numerical Analysis (math.NA)

[16]  arXiv:2305.00772 [pdf, other]

Title: Higher-order time domain boundary elements for elastodynamics -- graded meshes and hp versions

Authors: Alessandra Aimi, Giulia Di Credico, Heiko Gimperlein, Ernst P. Stephan

Comments: 53 pages, 17 figures, to appear in Numerische Mathematik

Journal-ref: Numerische Mathematik 154 (2023), 35-101

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[17]  arXiv:2305.00823 [pdf, ps, other]

Title: Numerical Approximation of Stochastic Volterra Integral Equation Using Walsh Function

Authors: Prit Pritam Paikaray, Dr. Sanghamitra Beuria, Dr. Nigam Chandra Parida

Subjects: Numerical Analysis (math.NA); Probability (math.PR)

[18]  arXiv:2305.01199 [pdf, other]

Title: Modeling of cardiac fibers as oriented liquid crystals

Authors: Nicolás A. Barnafi, Axel Osses

Subjects: Numerical Analysis (math.NA); Soft Condensed Matter (cond-mat.soft); Tissues and Organs (q-bio.TO)

[19]  arXiv:2305.01282 [pdf, ps, other]

Title: Cubature rules from Hall-Littlewood polynomials

Authors: Jan Felipe van Diejen, Erdal Emsiz

Comments: 30 pages, 7 tables

Journal-ref: IMA Journal of Numerical Analysis 41 (2021), 998--1030

Subjects: Numerical Analysis (math.NA); Classical Analysis and ODEs (math.CA)

[20]  arXiv:2305.01285 [pdf, ps, other]

Title: Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers' System

Authors: Harsha Hutridurga, Krishan Kumar, Amiya K. Pani

Comments: 35 pages, 16 figures

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[21]  arXiv:2305.01289 [pdf, ps, other]

Title: Cubature rules for unitary Jacobi ensembles

Authors: Jan Felipe van Diejen, Erdal Emsiz

Comments: 10 pages, 1 table

Journal-ref: Constructive Approx. 54 (2021), 145--156

Subjects: Numerical Analysis (math.NA); Classical Analysis and ODEs (math.CA)

[22]  arXiv:2305.01320 [pdf, other]

Title: Higher-Order GFDM for Linear Elliptic Operators

Authors: Heinrich Kraus, Jörg Kuhnert, Pratik Suchde

Subjects: Numerical Analysis (math.NA)

[23]  arXiv:2305.01340 [pdf, other]

Title: A-posteriori error estimates for systems of hyperbolic conservation laws

Authors: Jan Giesselmann, Aleksey Sikstel

Subjects: Numerical Analysis (math.NA)

[24]  arXiv:2305.01353 [pdf, other]

Title: Recovery type a posteriori error estimation of an adaptive finite element method for Cahn--Hilliard equation

Authors: Yaoyao Chen, Yunqing Huang, Nianyu Yi, Peimeng Yin

Comments: 36 pages, 7 figures

Subjects: Numerical Analysis (math.NA)

[25]  arXiv:2305.01466 [pdf, other]

Title: An Efficient Quadratic Interpolation Scheme for a Third-Order Cell-Centered Finite-Volume Method on Tetrahedral Grids

Authors: Hiroaki Nishikawa, Jeffery A. White

Journal-ref: Journal of Computational Physics, Volume 490, 1 October 2023, 112324

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[26]  arXiv:2305.01511 [pdf, other]

Title: H2 optimal rational approximation on general domains

Authors: Alessandro Borghi, Tobias Breiten

Subjects: Numerical Analysis (math.NA); Optimization and Control (math.OC)

[27]  arXiv:2305.01669 [pdf, other]

Title: A Matrix-Free Newton Method

Authors: Uwe Naumann

Comments: 12 pages, 1 figure

Subjects: Numerical Analysis (math.NA); Mathematical Software (cs.MS)

[28]  arXiv:2305.01691 [pdf, other]

Title: Avoiding discretization issues for nonlinear eigenvalue problems

Authors: Matthew J. Colbrook, Alex Townsend

Subjects: Numerical Analysis (math.NA); Systems and Control (eess.SY); Mathematical Physics (math-ph); Spectral Theory (math.SP)

[29]  arXiv:2305.01699 [pdf, other]

Title: On the Growth of Lebesgue Constants for Degree One Fekete Points in terms of the Dimension

Authors: Len Bos

Subjects: Numerical Analysis (math.NA)

[30]  arXiv:2305.01716 [pdf, other]

Title: The Pseudoinverse of $A=CR$ is $A^+=R^+C^+$ (?)

Authors: Michał P. Karpowicz, Gilbert Strang

Comments: 10 pages, 5 figures, matlab code, new paragraphs introduce general formulas for the pseudoinverse of CR, new Figures and the randomized pseudoinverse algorithm

Subjects: Numerical Analysis (math.NA)

[31]  arXiv:2305.01819 [pdf, ps, other]

Title: Computing Free Convolutions via Contour Integrals

Authors: Alice Cortinovis, Lexing Ying

Subjects: Numerical Analysis (math.NA); Probability (math.PR)

[32]  arXiv:2305.02044 [pdf, ps, other]

Title: Estimating the error in CG-like algorithms for least-squares and least-norm problems

Authors: Jan Papež, Petr Tichý

Subjects: Numerical Analysis (math.NA)

[33]  arXiv:2305.02057 [pdf, other]

Title: Extraction and application of super-smooth cubic B-splines over triangulations

Authors: Jan Grošelj, Hendrik Speleers

Journal-ref: Computer Aided Geometric Design 103, art. 102194 (2023)

Subjects: Numerical Analysis (math.NA)

[34]  arXiv:2305.02161 [pdf, ps, other]

Title: The Influence of Nitsche Stabilization on Geometric Multigrid for the Finite Cell Method

Authors: S. Saberi, G. Meschke, A. Vogel

Subjects: Numerical Analysis (math.NA)

[35]  arXiv:2305.02175 [pdf, other]

Title: Evanescent Plane Wave Approximation of Helmholtz Solutions in Spherical Domains

Authors: Nicola Galante

Comments: Master's thesis. arXiv admin note: substantial text overlap with arXiv:2202.05658 by other authors

Subjects: Numerical Analysis (math.NA)

[36]  arXiv:2305.02477 [pdf, other]

Title: Generalizing Frobenius Inversion to Quaternion Matrices

Authors: Qiyuan Chen, J. Uhlmann, Ke Ye

Subjects: Numerical Analysis (math.NA)

[37]  arXiv:2305.02708 [pdf, other]

Title: Translation invariant diagonal frame decomposition for the Radon transform

Authors: Simon Göppel, Markus Haltmeier, Jürgen Frikel

Subjects: Numerical Analysis (math.NA)

[38]  arXiv:2305.02802 [pdf, ps, other]

Title: Dual-Quaternion Fourier Transform

Authors: Benjamin Kenwright

Subjects: Numerical Analysis (math.NA)

[39]  arXiv:2305.02803 [pdf, other]

Title: Tensor PCA from basis in tensor space

Authors: Claudio Turchetti, Laura Falaschetti

Comments: This version contains a new experiment better showing the potentiality of the paper and a corrected autor list. This work has been submitted to the IEEE for possible publication. Copyright may be transferred without notice, after which this version may no longer be accessible

Subjects: Numerical Analysis (math.NA); Computer Vision and Pattern Recognition (cs.CV); Machine Learning (cs.LG)

[40]  arXiv:2305.02804 [pdf, other]

Title: An asymptotic preserving kinetic scheme for the M1 model of linear transport

Authors: Feugeas Jean-Luc, Mathiaud Julien, Mieussens Luc, Vigier Thomas

Subjects: Numerical Analysis (math.NA); Mathematical Physics (math-ph)

[41]  arXiv:2305.03020 [pdf, other]

Title: Medical Image Registration using optimal control of a linear hyperbolic transport equation with a DG discretization

Authors: Bastian Zapf, Johannes Haubner, Lukas Baumgärtner, Stephan Schmidt

Subjects: Numerical Analysis (math.NA); Optimization and Control (math.OC)

[42]  arXiv:2305.03060 [pdf, other]

Title: On the well-posedness of tracking Dirichlet data for Bernoulli free boundary problems

Authors: Wei Gong, Le Liu

Comments: 27 pages, 6 figures, 4 tables, 27 references, will be resubmitted

Subjects: Numerical Analysis (math.NA)

[43]  arXiv:2305.03086 [pdf, other]

Title: Inverse scattering of periodic surfaces with a superlens

Authors: Peijun Li, Yuliang Wang

Comments: 17 pages, 6 figures

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[44]  arXiv:2305.03247 [pdf, other]

Title: Heavy-ball-based optimal thresholding algorithms for sparse linear inverse problems

Authors: Zhong-Feng Sun, Jin-Chuan Zhou, Yun-Bin Zhao

Subjects: Numerical Analysis (math.NA); Information Theory (cs.IT)

[45]  arXiv:2305.03281 [pdf, other]

Title: Numerical stability analysis of shock-capturing methods for strong shocks I: second-order MUSCL schemes

Authors: Weijie Ren, Wenjia Xie, Ye Zhang, Hang Yu, Zhengyu Tian

Comments: 43 pages,23 figures

Subjects: Numerical Analysis (math.NA); Fluid Dynamics (physics.flu-dyn)

[46]  arXiv:2305.03330 [pdf, other]

Title: Solution existence, uniqueness, and stability of discrete basis sinograms in multispectral CT

Authors: Yu Gao, Xiaochuan Pan, Chong Chen

Comments: 27 pages, 12 figures

Subjects: Numerical Analysis (math.NA); Computer Vision and Pattern Recognition (cs.CV); Medical Physics (physics.med-ph)

[47]  arXiv:2305.03384 [pdf, ps, other]

Title: High-order BDF convolution quadrature for subdiffusion models with a singular source term

Authors: Jiankang Shi, Minghua Chen

Journal-ref: SIAM Journal on Numerical Analysis ( 2023)

Subjects: Numerical Analysis (math.NA)

[48]  arXiv:2305.03402 [pdf, ps, other]

Title: A least-squares space-time approach for parabolic equations

Authors: Michael Hinze, Christian Kahle

Subjects: Numerical Analysis (math.NA)

[49]  arXiv:2305.03430 [pdf, other]

Title: An arbitrary order Reconstructed Discontinuous Approximation to Biharmonic Interface Problem

Authors: Yan Chen, Ruo Li, Qicheng Liu

Subjects: Numerical Analysis (math.NA)

[50]  arXiv:2305.03469 [pdf, ps, other]

Title: Data-inspired modeling of accidents in traffic flow networks

Authors: Simone Göttlich, Thomas Schillinger

Comments: 29 pages, 14 figures

Subjects: Numerical Analysis (math.NA)

[51]  arXiv:2305.03575 [pdf, other]

Title: Pointwise gradient estimate of the ritz projection

Authors: Lars Diening, Julian Rolfes, Abner J. Salgado

Comments: 14 pages

Subjects: Numerical Analysis (math.NA)

[52]  arXiv:2305.03619 [pdf, other]

Title: Uncertainty Quantification for Fisher-Kolmogorov Equation on Graphs with Application to Patient-Specific Alzheimer Disease

Authors: Mattia Corti, Francesca Bonizzoni, Paola F. Antonietti, Alfio M. Quarteroni

Subjects: Numerical Analysis (math.NA); Quantitative Methods (q-bio.QM)

[53]  arXiv:2305.03677 [pdf, ps, other]

Title: AAA rational approximation on a continuum

Authors: Toby Driscoll, Yuji Nakatsukasa, Lloyd N. Trefethen

Subjects: Numerical Analysis (math.NA)

[54]  arXiv:2305.03727 [pdf, other]

Title: Finite element analysis of modified N-S equations coupled with energy transfer for Hybrid Nanofluid flow in complex domains

Authors: Sangita Dey, B.V. Rathish Kumar

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[55]  arXiv:2305.03728 [pdf, other]

Title: A Numerical-based Parametric Error Analysis Method for Goldschmidt Floating Point Division

Authors: Binzhe Yuan, Liangtao Dai, Xin Lou

Subjects: Numerical Analysis (math.NA)

[56]  arXiv:2305.03729 [pdf, other]

Title: Score-based Transport Modeling for Mean-Field Fokker-Planck Equations

Authors: Jianfeng Lu, Yue Wu, Yang Xiang

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG)

[57]  arXiv:2305.03732 [pdf, other]

Title: Weighted high dimensional data reduction of finite Element Features -- An Application on High Pressure of an Abdominal Aortic Aneurysm

Authors: Christoph Striegel, Göran Kauermann, Jonas Biehler

Subjects: Numerical Analysis (math.NA); Methodology (stat.ME)

[58]  arXiv:2305.03733 [pdf, other]

Title: The Constant in the Theorem of Binev-Dahmen-DeVore-Stevenson and a Generalisation of it

Authors: Lukas Gehring

Comments: Master's thesis, 94 pages, about 44 figures

Subjects: Numerical Analysis (math.NA)

[59]  arXiv:2305.03932 [pdf, other]

Title: On reconstruction of small sources from Cauchy data at a fixed frequency

Authors: Isaac Harris, Thu Le, Dinh-Liem Nguyen

Comments: 8 pages

Subjects: Numerical Analysis (math.NA)

[60]  arXiv:2305.03939 [pdf, ps, other]

Title: An adaptive ANOVA stochastic Galerkin method for partial differential equations with high-dimensional random inputs

Authors: Guanjie Wang, Smita Sahu, Qifeng Liao

Subjects: Numerical Analysis (math.NA)

[61]  arXiv:2305.03945 [pdf, other]

Title: A first-order computational algorithm for reaction-diffusion type equations via primal-dual hybrid gradient method

Authors: Shu Liu, Siting Liu, Stanley Osher, Wuchen Li

Comments: Any feedbacks or comments are welcome

Subjects: Numerical Analysis (math.NA)

[62]  arXiv:2305.04060 [pdf, other]

Title: Blind Ptychography via Blind Deconvolution

Authors: Mark Philip Roach

Comments: arXiv admin note: text overlap with arXiv:1606.04933 by other authors

Subjects: Numerical Analysis (math.NA)

[63]  arXiv:2305.04080 [pdf, other]

Title: Robust Tensor CUR Decompositions: Rapid Low-Tucker-Rank Tensor Recovery with Sparse Corruption

Authors: HanQin Cai, Zehan Chao, Longxiu Huang, Deanna Needell

Journal-ref: SIAM Journal on Imaging Sciences 17 (1), 225-247, 2024

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG)

[64]  arXiv:2305.04162 [pdf, other]

Title: Companion-Based Multi-Level Finite Element Method for Computing Multiple Solutions of Nonlinear Differential Equations

Authors: Wenrui Hao, Sun Lee, Young Ju Lee

Subjects: Numerical Analysis (math.NA)

[65]  arXiv:2305.04176 [pdf, other]

Title: Numerical computation of spectral solutions for Sturm-Liouville eigenvalue problems

Authors: Sameh Gana

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[66]  arXiv:2305.04253 [pdf, other]

Title: Stochastic virtual element methods for uncertainty propagation of stochastic linear elasticity

Authors: Zhibao Zheng, Udo Nackenhorst

Journal-ref: Computational Mechanics, 2023

Subjects: Numerical Analysis (math.NA); Data Analysis, Statistics and Probability (physics.data-an)

[67]  arXiv:2305.04291 [pdf, other]

Title: Oblique projection for scalable rank-adaptive reduced-order modeling of nonlinear stochastic PDEs with time-dependent bases

Authors: M. Donello, G. Palkar, M.H. Naderi, D. C. Del Rey Fernández, H. Babaee

Subjects: Numerical Analysis (math.NA)

[68]  arXiv:2305.04307 [pdf, other]

Title: Experimental and numerical investigations on heat transfer in fused filament fabrication 3D-printed specimens

Authors: Nathalie Ramos, Christoph Mittermeier, Josef Kiendl

Journal-ref: Int J Adv Manuf Technol 118 1367:1381 (2022)

Subjects: Numerical Analysis (math.NA)

[69]  arXiv:2305.04421 [pdf, other]

Title: A 2-Level Domain Decomposition Preconditioner for KKT Systems with Heat-Equation Constraints

Authors: Eric C. Cyr

Comments: 8 pages

Subjects: Numerical Analysis (math.NA)

[70]  arXiv:2305.04427 [pdf, ps, other]

Title: Numerical discretizations of a convective Brinkman-Forchheimer model under singular forcing

Authors: Alejandro Allendes, Gilberto Campaña, Enrique Otarola

Subjects: Numerical Analysis (math.NA)

[71]  arXiv:2305.04558 [pdf, ps, other]

Title: Improved error estimates for a modified exponential Euler method for the semilinear stochastic heat equation with rough initial data

Authors: Xinping Gui, Buyang Li, Jilu Wang

Subjects: Numerical Analysis (math.NA)

[72]  arXiv:2305.04569 [pdf, ps, other]

Title: Additional results on convergence and semiconvergence of three-step alternating iteration scheme for singular linear systems

Authors: Vaibhav Shekhar, Punit Sharma

Subjects: Numerical Analysis (math.NA); Functional Analysis (math.FA)

[73]  arXiv:2305.04575 [pdf, other]

Title: A physics-based reduced order model for urban air pollution prediction

Authors: Moaad Khamlich, Giovanni Stabile, Gianluigi Rozza, László Környei, Zoltán Horváth

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[74]  arXiv:2305.04608 [pdf, other]

Title: Inferring Object Boundaries and their Roughness with Uncertainty Quantification

Authors: Babak Maboudi Afkham, Nicolai André Brogaard Riis, Yiqiu Dong, Per Christian Hansen

Subjects: Numerical Analysis (math.NA)

[75]  arXiv:2305.04635 [pdf, other]

Title: Parallel Cholesky Factorization for Banded Matrices using OpenMP Tasks

Authors: Felix Liu, Albin Fredriksson, Stefano Markidis

Subjects: Numerical Analysis (math.NA); Distributed, Parallel, and Cluster Computing (cs.DC)

[76]  arXiv:2305.04680 [pdf, ps, other]

Title: Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition

Authors: Simone Brivio, Stefania Fresca, Nicola Rares Franco, Andrea Manzoni

Subjects: Numerical Analysis (math.NA)

[77]  arXiv:2305.04734 [pdf, other]

Title: Statistical Variational Data Assimilation

Authors: Amina Benaceur, Barbara Verfürth

Subjects: Numerical Analysis (math.NA)

[78]  arXiv:2305.04813 [pdf, other]

Title: A fully conservative and shift-invariant formulation for Galerkin discretizations of incompressible variable density flow

Authors: Lukas Lundgren, Murtazo Nazarov

Comments: 28 pages, 8 figures

Subjects: Numerical Analysis (math.NA)

[79]  arXiv:2305.04820 [pdf, ps, other]

Title: Breaking quadrature exactness: A spectral method for the Allen--Cahn equation on spheres

Authors: Hao-Ning Wu, Xiaoming Yuan

Comments: 22 pages, 4 figures

Subjects: Numerical Analysis (math.NA)

[80]  arXiv:2305.04937 [pdf, other]

Title: Randomly sampling bipartite networks with fixed degree sequences

Authors: Zachary P. Neal

Subjects: Numerical Analysis (math.NA); Methodology (stat.ME)

[81]  arXiv:2305.04962 [pdf, other]

Title: Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs

Authors: Pau Batlle, Yifan Chen, Bamdad Hosseini, Houman Owhadi, Andrew M Stuart

Subjects: Numerical Analysis (math.NA); Machine Learning (stat.ML)

[82]  arXiv:2305.04975 [pdf, other]

Title: Isogeometric Tearing and Interconnecting Solvers for Linearized Elasticity in multi-patch Isogeometric Analysis

Authors: Jarle Sogn, Stefan Takacs

Comments: arXiv admin note: text overlap with arXiv:2202.13707

Subjects: Numerical Analysis (math.NA)

[83]  arXiv:2305.05030 [pdf, ps, other]

Title: Adaptive Cross Tubal Tensor Approximation

Authors: Salman Ahmadi-Asl, Anh Huy Phan, Andrzej Cichocki, Anastasia Sozykina, Zaher Al Aghbari, Jun Wang, Ivan Oseledets

Subjects: Numerical Analysis (math.NA)

[84]  arXiv:2305.05031 [pdf, other]

Title: Fast randomized algorithms for computing the generalized tensor SVD based on the tubal product

Authors: Salman Ahmadi-Asl, Ugochukwu Ugwu

Subjects: Numerical Analysis (math.NA)

[85]  arXiv:2305.05069 [pdf, other]

Title: Imaging with thermal noise induced currents

Authors: Trent DeGiovanni, Fernando Guevara Vasquez, China Mauck

Comments: 22 pages, 6 figures

Subjects: Numerical Analysis (math.NA)

[86]  arXiv:2305.05117 [pdf, ps, other]

Title: Novel structure-preserving schemes for stochastic Klein--Gordon--Schrödinger equations with additive noise

Authors: Jialin Hong, Baohui Hou, Liying Sun, Xiaojing Zhang

Subjects: Numerical Analysis (math.NA); Probability (math.PR)

[87]  arXiv:2305.05369 [pdf, other]

Title: Error estimate of the u-series method for molecular dynamics simulations

Authors: Jiuyang Liang, Zhenli Xu, Qi Zhou

Comments: 22 pages, 4 figures

Subjects: Numerical Analysis (math.NA)

[88]  arXiv:2305.05452 [pdf, other]

Title: Implicit-explicit Runge-Kutta for radiation hydrodynamics I: gray diffusion

Authors: Ben S. Southworth, Ryosuke Park, Svetlana Tokareva, Marc Charest

Comments: Submitted for publication

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[89]  arXiv:2305.05629 [pdf, ps, other]

Title: Structured condition numbers for a linear function of the solution of the generalized saddle point problem

Authors: Sk. Safique Ahmad, Pinki Khatun

Subjects: Numerical Analysis (math.NA)

[90]  arXiv:2305.05729 [pdf, other]

Title: A discrete three-dimensional divdiv complex on polyhedral meshes with application to a mixed formulation of the biharmonic problem

Authors: Daniele A. Di Pietro, Marien-Lorenzo Hanot

Subjects: Numerical Analysis (math.NA)

[91]  arXiv:2305.05742 [pdf, other]

Title: Grading of Triangulations Generated by Bisection

Authors: Lars Diening, Johannes Storn, Tabea Tscherpel

Comments: 47 pages, 7 figures

Subjects: Numerical Analysis (math.NA)

[92]  arXiv:2305.05769 [pdf, other]

Title: A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations

Authors: Chen Liu, Xiangxiong Zhang

Subjects: Numerical Analysis (math.NA)

[93]  arXiv:2305.05855 [pdf, other]

Title: Singularity swapping method for nearly singular integrals based on trapezoidal rule

Authors: Gang Bao, Wenmao Hua, Jun Lai, Jinrui Zhang

Subjects: Numerical Analysis (math.NA)

[94]  arXiv:2305.05863 [pdf, other]

Title: Hybrid hyperinterpolation over general regions

Authors: Congpei An, Jia-Shu Ran, Alvise Sommariva

Comments: 25 pages, 7 figures

Subjects: Numerical Analysis (math.NA)

[95]  arXiv:2305.05910 [src]

Title: Novel structure-preserving schemes for stochastic Klein--Gordon--Schrödinger equations with additive noise

Authors: Jialin Hong, Baohui Hou, Liying Sun, Xiaojing Zhang

Comments: This is a duplicate submission and has been withdrawn. Please see arXiv:2305.05117

Subjects: Numerical Analysis (math.NA)

[96]  arXiv:2305.05915 [pdf, ps, other]

Title: A synchronization-capturing multi-scale solver to the noisy integrate-and-fire neuron networks

Authors: Ziyu Du, Yantong Xie, Zhennan Zhou

Comments: 25 Pages, 18 Figures

Subjects: Numerical Analysis (math.NA); Neural and Evolutionary Computing (cs.NE)

[97]  arXiv:2305.05941 [pdf, ps, other]

Title: Direct imaging methods for reconstructing a locally rough interface from phaseless total-field data or phased far-field data

Authors: Long Li, Jiansheng Yang, Bo Zhang, Haiwen Zhang

Subjects: Numerical Analysis (math.NA)

[98]  arXiv:2305.05965 [pdf, ps, other]

Title: Average conditioning of underdetermined polynomial systems

Authors: Federico Carrasco

Subjects: Numerical Analysis (math.NA)

[99]  arXiv:2305.06000 [pdf, ps, other]

Title: Global Convergence of Deep Galerkin and PINNs Methods for Solving Partial Differential Equations

Authors: Deqing Jiang, Justin Sirignano, Samuel N. Cohen

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG)

[100]  arXiv:2305.06070 [pdf, ps, other]

Title: Numerical Ergodicity and Uniform Estimate of Monotone SPDEs Driven by Multiplicative Noise

Authors: Zhihui Liu

Subjects: Numerical Analysis (math.NA); Probability (math.PR)

[101]  arXiv:2305.06073 [pdf, other]

Title: Algebraic multigrid methods for metric-perturbed coupled problems

Authors: Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-Andre Mardal, Ludmil Tomov Zikatanov

Subjects: Numerical Analysis (math.NA)

[102]  arXiv:2305.06138 [pdf, ps, other]

Title: Crank-Nicolson schemes for sub-diffusion equations with nonsingular and singular source terms in time

Authors: Han Zhou, Wenyi Tian

Journal-ref: Journal of Scientific Computing, 98(2), 50 (2024)

Subjects: Numerical Analysis (math.NA)

[103]  arXiv:2305.06151 [pdf, other]

Title: Speeding up Monte Carlo Integration: Control Neighbors for Optimal Convergence

Authors: Rémi Leluc, François Portier, Johan Segers, Aigerim Zhuman

Comments: Accepted to Bernoulli (2024)

Subjects: Numerical Analysis (math.NA); Statistics Theory (math.ST); Computation (stat.CO)

[104]  arXiv:2305.06171 [pdf, ps, other]

Title: Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems

Authors: Carsten Carstensen, Neela Nataraj, Gopikrishnan C. Remesan, Devika Shylaja

Comments: Accepted for publication in Numerische Mathematik

Subjects: Numerical Analysis (math.NA)

[105]  arXiv:2305.06180 [pdf, other]

Title: Implicit like time discretization for the one-phase Hele-Shaw problem with surface tension

Authors: Ido Lavi, Nicolas Meunier, Olivier Pantz

Subjects: Numerical Analysis (math.NA)

[106]  arXiv:2305.06193 [pdf, ps, other]

Title: Error Analysis of Mixed Residual Methods for Elliptic Equations

Authors: Kai Gu, Peng Fang, Zhiwei Sun, Rui du

Comments: 18 pages

Subjects: Numerical Analysis (math.NA)

[107]  arXiv:2305.06197 [pdf, other]

Title: Parametric Dynamic Mode Decomposition for nonlinear parametric dynamical systems

Authors: Shuwen Sun, Lihong Feng, Hoon Seng Chan, Tamara Miličić, Tanja Vidaković-Koch, Fridolin Röder, Peter Benner

Subjects: Numerical Analysis (math.NA)

[108]  arXiv:2305.06261 [pdf, other]

Title: Pseudo-reversing and its application for multiscaling of manifold-valued data

Authors: Wael Mattar, Nir Sharon

Subjects: Numerical Analysis (math.NA)

[109]  arXiv:2305.06317 [pdf, other]

Title: Robust Multigrid Methods for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem

Authors: Sijing Liu

Subjects: Numerical Analysis (math.NA)

[110]  arXiv:2305.06323 [pdf, ps, other]

Title: On the tubular eigenvalues of third-order tensors

Authors: Fatemeh P. A. Beik, Yousef Saad

Subjects: Numerical Analysis (math.NA)

[111]  arXiv:2305.06497 [pdf, other]

Title: A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume/finite element scheme for the incompressible MHD equations

Authors: F. Fambri, E. Zampa, S. Busto, L. Río-Martín, F. Hindenlang, E. Sonnendrücker, M. Dumbser

Comments: 57 pages, 33 figures, 13 tables, reference-data (supplementary electronic material) will be available after publication on the Journal web-page

Subjects: Numerical Analysis (math.NA); Instrumentation and Methods for Astrophysics (astro-ph.IM); Fluid Dynamics (physics.flu-dyn); Plasma Physics (physics.plasm-ph)

[112]  arXiv:2305.06571 [pdf, other]

Title: Numerical Stability for Differential Equations with Memory

Authors: Guihong Wang, Yuqing Li, Tao Luo, Zheng Ma, Nung Kwan Yip, Guang Lin

Subjects: Numerical Analysis (math.NA)

[113]  arXiv:2305.06617 [pdf, ps, other]

Title: A mathematical model to assess the effects of COVID-19 on the cardiocirculatory system

Authors: Andrea Tonini, Christian Vergara, Francesco Regazzoni, Luca Dede', Roberto Scrofani, Chiara Cogliati, Alfio Quarteroni

Journal-ref: Sci. Rep. 14 (2024) 8304

Subjects: Numerical Analysis (math.NA)

[114]  arXiv:2305.06646 [pdf, other]

Title: Object based Bayesian full-waveform inversion for shear elastography

Authors: Ana Carpio, Elena Cebrian, Andrea Gutierrez

Journal-ref: Inverse Problems 39(7) 075007 2023

Subjects: Numerical Analysis (math.NA); Computer Vision and Pattern Recognition (cs.CV); Optimization and Control (math.OC); Computational Physics (physics.comp-ph); Data Analysis, Statistics and Probability (physics.data-an)

[115]  arXiv:2305.06668 [pdf, other]

Title: A robust, open-source implementation of the locally optimal block preconditioned conjugate gradient for large eigenvalue problems in quantum chemistry

Authors: Tommaso Nottoli, Ivan Giannì, Antoine Levitt (LMO), Filippo Lipparini

Comments: Theoretical Chemistry Accounts: Theory, Computation, and Modeling, In press

Subjects: Numerical Analysis (math.NA)

[116]  arXiv:2305.06685 [pdf, other]

Title: The effect of linear dispersive errors on nonlinear time-stepping accuracy

Authors: Timothy Andrews, Jemma Shipton, Beth Wingate

Comments: 34 pages, 17 figures, 1 table

Subjects: Numerical Analysis (math.NA)

[117]  arXiv:2305.06800 [pdf, other]

Title: Finite element approximation of unique continuation of functions with finite dimensional trace

Authors: Erik Burman, Lauri Oksanen

Subjects: Numerical Analysis (math.NA)

[118]  arXiv:2305.06823 [pdf, other]

Title: Multigrid preconditioning of singularly perturbed convection-diffusion equations

Authors: M. Shahid, S.P. MacLachlan, H. bin Zubair Syed

Subjects: Numerical Analysis (math.NA)

[119]  arXiv:2305.06863 [pdf, other]

Title: Deep Finite Volume Method for High-Dimensional Partial Differential Equations

Authors: Jianhuan Cen, Qingsong Zou

Subjects: Numerical Analysis (math.NA)

[120]  arXiv:2305.06880 [pdf, ps, other]

Title: Analysis of a WSGD scheme for backward fractional Feynman-Kac equation with nonsmooth data

Authors: Liyao Hao, Wenyi Tian

Subjects: Numerical Analysis (math.NA)

[121]  arXiv:2305.06891 [pdf, other]

Title: Hierarchical Block Low-rank Approximation of Cavity Radiation

Authors: Ivan Baburin, Jonas Ballani, John W. Peterson, David Knezevic

Comments: 34 pages, 12 figures

Subjects: Numerical Analysis (math.NA)

[122]  arXiv:2305.07071 [pdf, other]

Title: Generalized Iterative Scaling for Regularized Optimal Transport with Affine Constraints: Application Examples

Authors: Johannes von Lindheim, Gabriele Steidl

Subjects: Numerical Analysis (math.NA)

[123]  arXiv:2305.07165 [pdf, other]

Title: A new version of the adaptive fast Gauss transform for discrete and continuous sources

Authors: Leslie Greengard, Shidong Jiang, Manas Rachh, Jun Wang

Comments: 26 pages, 10 figures

Subjects: Numerical Analysis (math.NA)

[124]  arXiv:2305.07181 [pdf, other]

Title: Entropy-split multidimensional summation-by-parts discretization of the Euler and compressible Navier-Stokes equations

Authors: Zelalem Arega Worku, David W. Zingg

Comments: 34 pages, 8 figures

Subjects: Numerical Analysis (math.NA)

[125]  arXiv:2305.07379 [pdf, other]

Title: Optimized Schwarz methods for the time-dependent Stokes-Darcy coupling

Authors: Marco Discacciati, Tommaso Vanzan

Subjects: Numerical Analysis (math.NA)

[126]  arXiv:2305.07383 [pdf, ps, other]

Title: $α$-robust error estimates of general non-uniform time-step numerical schemes for reaction-subdiffusion problems

Authors: Jiwei Zhang, Zhimin Zhang, Chengchao Zhao

Comments: 21 pages

Subjects: Numerical Analysis (math.NA)

[127]  arXiv:2305.07410 [pdf, ps, other]

Title: Time splitting method for nonlinear Schrödinger equation with rough initial data in $L^2$

Authors: Hyung Jun Choi, Seonghak Kim, Youngwoo Koh

Comments: typos are fixed

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[128]  arXiv:2305.07449 [pdf, other]

Title: Virtual Elements on polyhedra with a curved face

Authors: Franco Brezzi, L. Donatella Marini

Subjects: Numerical Analysis (math.NA)

[129]  arXiv:2305.07459 [pdf, other]

Title: Inverse wave-number-dependent source problems for the Helmholtz equation

Authors: Hongxia Guo, Guanghui Hu

Subjects: Numerical Analysis (math.NA)

[130]  arXiv:2305.07539 [pdf, ps, other]

Title: Sampling recovery in $L_2$ and other norms

Authors: David Krieg, Kateryna Pozharska, Mario Ullrich, Tino Ullrich

Comments: The title has changed slightly. Some results from earlier versions are shifted to another publication

Subjects: Numerical Analysis (math.NA); Computational Complexity (cs.CC)

[131]  arXiv:2305.07546 [pdf, other]

Title: Understanding Automatic Differentiation Pitfalls

Authors: Jan Hückelheim, Harshitha Menon, William Moses, Bruce Christianson, Paul Hovland, Laurent Hascoët

Subjects: Numerical Analysis (math.NA); Artificial Intelligence (cs.AI); Computational Engineering, Finance, and Science (cs.CE)

[132]  arXiv:2305.07755 [pdf, ps, other]

Title: Levenberg-Marquardt method with Singular Scaling and applications

Authors: Everton Boos, Douglas S. Goncalves, Fermin S. V. Bazan

Subjects: Numerical Analysis (math.NA); Optimization and Control (math.OC)

[133]  arXiv:2305.07777 [pdf, ps, other]

Title: Evaluating a double integral using Euler's method and Richardson extrapolation

Authors: J. S. C. Prentice

Comments: 17p, 4 figs

Subjects: Numerical Analysis (math.NA)

[134]  arXiv:2305.07940 [pdf, other]

Title: MHDnet: Physics-preserving learning for solving magnetohydrodynamics problems

Authors: Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang

Subjects: Numerical Analysis (math.NA)

[135]  arXiv:2305.07978 [pdf, ps, other]

Title: Network analysis with the aid of the path length matrix

Authors: Silvia Noschese, Lothar Reichel

Comments: 16 pages

Subjects: Numerical Analysis (math.NA)

[136]  arXiv:2305.08033 [pdf, other]

Title: Wave Simulations in Infinite Spacetime

Authors: Chad McKell, Mohammad Sina Nabizadeh, Stephanie Wang, Albert Chern

Comments: 7 pages, 5 figures

Subjects: Numerical Analysis (math.NA)

[137]  arXiv:2305.08074 [pdf, other]

Title: Orthogonal polynomial approximation and Extended Dynamic Mode Decomposition in chaos

Authors: Caroline L. Wormell

Subjects: Numerical Analysis (math.NA); Classical Analysis and ODEs (math.CA); Dynamical Systems (math.DS); Chaotic Dynamics (nlin.CD); Machine Learning (stat.ML)

[138]  arXiv:2305.08110 [pdf, ps, other]

Title: An efficient online successive reanalysis method for dynamic topology optimization

Authors: Shuhao Li, Hu Wang, Jichao Yin, Daozhen Guo, Guangyao Li

Subjects: Numerical Analysis (math.NA)

[139]  arXiv:2305.08174 [pdf, other]

Title: ReSDF: Redistancing Implicit Surfaces using Neural Networks

Authors: Yesom Park, Chang hoon Song, Jooyoung Hahn, Myungjoo Kang

Subjects: Numerical Analysis (math.NA)

[140]  arXiv:2305.08194 [pdf, ps, other]

Title: A new iterative method for construction of the Kolmogorov-Arnold representation

Authors: Michael Poluektov, Andrew Polar

Subjects: Numerical Analysis (math.NA)

[141]  arXiv:2305.08221 [pdf, other]

Title: Validated integration of semilinear parabolic PDEs

Authors: Jan Bouwe van den Berg, Maxime Breden, Ray Sheombarsing

Comments: Revised accepted version

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[142]  arXiv:2305.08310 [pdf, other]

Title: Gradient-enhanced physics-informed neural networks based on transfer learning for inverse problems of the variable coefficient differential equations

Authors: Shuning Lin, Yong Chen

Subjects: Numerical Analysis (math.NA); Pattern Formation and Solitons (nlin.PS); Computational Physics (physics.comp-ph)

[143]  arXiv:2305.08474 [pdf, ps, other]

Title: BEM-based fast frequency sweep for acoustic scattering by periodic slab

Authors: Yuta Honshuku, Hiroshi Isakari

Subjects: Numerical Analysis (math.NA)

[144]  arXiv:2305.08520 [pdf, other]

Title: Random walks and moving boundaries: Estimating the penetration of diffusants into dense rubbers

Authors: Surendra Nepal, Magnus Ogren, Yosief Wondmagegne, Adrian Muntean

Comments: 15 pages, 10 figures, 2 tables

Journal-ref: Probabilistic Engineering Mechanics 74 (2023) 103546

Subjects: Numerical Analysis (math.NA); Probability (math.PR)

[145]  arXiv:2305.08573 [pdf, other]

Title: A graph convolutional autoencoder approach to model order reduction for parametrized PDEs

Authors: Federico Pichi, Beatriz Moya, Jan S. Hesthaven

Comments: this https URL

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG)

[146]  arXiv:2305.08670 [pdf, other]

Title: A Nonlinear Projection-Based Iteration Scheme with Cycles over Multiple Time Steps for Solving Thermal Radiative Transfer Problems

Authors: Joseph M. Coale, Dmitriy Y. Anistratov

Comments: 10 pages, 3 figures

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[147]  arXiv:2305.08693 [pdf, other]

Title: Mixed finite elements for Kirchhoff-Love plate bending

Authors: Thomas Führer, Norbert Heuer

Comments: Extended version, accepted for publication in Mathematics of Computation

Subjects: Numerical Analysis (math.NA)

[148]  arXiv:2305.08736 [pdf, ps, other]

Title: Generalized weak Galerkin finite element methods for second order elliptic problems

Authors: Dan Li, Chunmei Wang, Junping Wang, Xiu Ye

Comments: 30 pages, 19 tables

Subjects: Numerical Analysis (math.NA)

[149]  arXiv:2305.08803 [pdf, ps, other]

Title: A multilinear HJB-POD method for the optimal control of PDEs

Authors: Gerhard Kirsten, Luca Saluzzi

Subjects: Numerical Analysis (math.NA); Optimization and Control (math.OC)

[150]  arXiv:2305.08975 [pdf, other]

Title: Numerical implementation of generalized V-line transforms on 2D vector fields and their inversions

Authors: Gaik Ambartsoumian, Mohammad Javad Latifi Jebelli, Rohit Kumar Mishra

Comments: 38 pages

Subjects: Numerical Analysis (math.NA); Mathematical Physics (math-ph)

[151]  arXiv:2305.08983 [pdf, other]

Title: Reduced-Memory Methods for Linear Discontinuous Discretization of the Time-Dependent Boltzmann Transport Equation

Authors: Rylan C. Paye, Dmitriy Y. Anistratov, Jim E. Morel, James S. Warsa

Comments: 11 pages, 5 figures

Subjects: Numerical Analysis (math.NA)

[152]  arXiv:2305.08986 [pdf, other]

Title: Exploiting high-contrast Stokes preconditioners to efficiently solve incompressible fluid-structure interaction problems

Authors: Michał Wichrowski, Piotr Krzyżanowski, Luca Heltai, Stanisław Stupkiewicz

Comments: 24 pages, 9 figures, 9 tables

Journal-ref: International Journal for Numerical Methods in Engineering 124, 5446-5470 (2023)

Subjects: Numerical Analysis (math.NA)

[153]  arXiv:2305.08996 [pdf, ps, other]

Title: Approximation of the Maxwell eigenvalue problem in a Least-Squares setting

Authors: Fleurianne Bertrand, Daniele Boffi, Lucia Gastaldi

Subjects: Numerical Analysis (math.NA)

[154]  arXiv:2305.08998 [pdf, other]

Title: Exponential Integrators for Phase-Field Equations using Pseudo-spectral Methods: A Python Implementation

Authors: Elvis do A. Soares, Amaro G. Barreto Jr., Frederico W. Tavares

Comments: 12 pages, 7 figures, inline Python code

Subjects: Numerical Analysis (math.NA); Soft Condensed Matter (cond-mat.soft); Pattern Formation and Solitons (nlin.PS); Chemical Physics (physics.chem-ph)

[155]  arXiv:2305.09020 [pdf, other]

Title: Phase Field Modeling and Numerical Algorithm for Two-Phase Dielectric Fluid Flows

Authors: Jielin Yang, Ivan C. Christov, Suchuan Dong

Comments: 38 pages, 19 figures, 2 tables

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph); Fluid Dynamics (physics.flu-dyn)

[156]  arXiv:2305.09096 [pdf, other]

Title: An algebraic framework for geometrically continuous splines

Authors: Angelos Mantzaflaris, Bernard Mourrain, Nelly Villamizar, Beihui Yuan

Comments: 46 pages, 5 figures, 1 table

Subjects: Numerical Analysis (math.NA); Commutative Algebra (math.AC)

[157]  arXiv:2305.09125 [pdf, other]

Title: A deep learning method for multi-material diffusion problems based on physics-informed neural networks

Authors: Yanzhong Yao, Jiawei Guo, Tongxiang Gu

Journal-ref: Computer Methods in Applied Mechanics and Engineering, 2023

Subjects: Numerical Analysis (math.NA)

[158]  arXiv:2305.09140 [pdf, other]

Title: The Average Rate of Convergence of the Exact Line Search Gradient Descent Method

Authors: Thomas Yu

Comments: 16 pages, 4 figures

Subjects: Numerical Analysis (math.NA); Optimization and Control (math.OC)

[159]  arXiv:2305.09254 [pdf, other]

Title: Towards a finite volume discretization of the atmospheric surface layer consistent with physical theory

Authors: Simon Clément (AIRSEA), Florian Lemarié (AIRSEA), Eric Blayo (AIRSEA)

Subjects: Numerical Analysis (math.NA); Atmospheric and Oceanic Physics (physics.ao-ph)

[160]  arXiv:2305.09278 [pdf, other]

Title: Multi-domain FEM-BEM coupling for acoustic scattering

Authors: Marcella Bonazzoli (IDEFIX), Xavier Claeys (LJLL (UMR\_7598))

Subjects: Numerical Analysis (math.NA)

[161]  arXiv:2305.09361 [pdf, ps, other]

Title: A model reduction method for large-scale linear multidimensional dynamical systems

Authors: M. A. Hamadi, K. Jbilou, A. Ratnani

Subjects: Numerical Analysis (math.NA); Dynamical Systems (math.DS)

[162]  arXiv:2305.09408 [pdf, other]

Title: Numerical solution of Poisson partial differential equations in high dimension using two-layer neural networks

Authors: Mathias Dus, Virginie Ehrlacher

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP); Optimization and Control (math.OC)

[163]  arXiv:2305.09578 [pdf, ps, other]

Title: Deep Fourier Residual method for solving time-harmonic Maxwell's equations

Authors: Jamie M. Taylor, Manuela Bastidas, David Pardo, Ignacio Muga

Subjects: Numerical Analysis (math.NA)

[164]  arXiv:2305.10019 [pdf, other]

Title: Constructing wavelets by welding segments of smooth functions

Authors: Maarten Jansen

Comments: 17 pages; 2 figures

Subjects: Numerical Analysis (math.NA)

[165]  arXiv:2305.10318 [pdf, other]

Title: High-order ADER Discontinuous Galerkin schemes for a symmetric hyperbolic model of compressible barotropic two-fluid flows

Authors: Laura Río-Martín, Michael Dumbser

Subjects: Numerical Analysis (math.NA)

[166]  arXiv:2305.10331 [pdf, other]

Title: On Pitfalls in Accuracy Verification Using Time-Dependent Problems

Authors: Hiroaki Nishikawa

Journal-ref: Volume 491, 112389, Journal of Computational Physics, 15 October 2023

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[167]  arXiv:2305.10522 [pdf, other]

Title: On a Doubly Reduced Model for Dynamics of Heterogeneous Mixtures of Stiffened Gases, its Regularizations and their Implementations

Authors: A. Zlotnik, T. Lomonosov

Comments: 19 pages, 7 figures, 3 tables

Subjects: Numerical Analysis (math.NA); Fluid Dynamics (physics.flu-dyn)

[168]  arXiv:2305.10778 [pdf, other]

Title: Supercloseness of the LDG method for a two-dimensional singularly perturbed convection-diffusion problem on Bakhvalov-type mesh

Authors: Chunxiao Zhang, Jin Zhang, Wenchao Zheng

Comments: 19 pages and 1 figure

Subjects: Numerical Analysis (math.NA)

[169]  arXiv:2305.10781 [pdf, other]

Title: Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction

Authors: Arpit Babbar, Sudarshan Kumar Kenettinkara, Praveen Chandrashekar

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[170]  arXiv:2305.10803 [pdf, ps, other]

Title: Two-step Newton's method for deflation-one singular zeros of analytic systems

Authors: Kisun Lee, Nan Li, Lihong Zhi

Comments: 23 pages, 1 figure, 4 tables, Version to appear in Journal of Symbolic Computation

Subjects: Numerical Analysis (math.NA); Symbolic Computation (cs.SC); Algebraic Geometry (math.AG)

[171]  arXiv:2305.10806 [pdf, other]

Title: Adaptive choice of near-optimal expansion points for interpolation-based structure-preserving model reduction

Authors: Quirin Aumann, Steffen W. R. Werner

Comments: 24 pages, 5 figures, 4 tables

Subjects: Numerical Analysis (math.NA); Systems and Control (eess.SY); Dynamical Systems (math.DS)

[172]  arXiv:2305.10842 [pdf, other]

Title: Optimal separator for an ellipse; Application to localization

Authors: Luc Jaulin

Comments: 16 pages and 11 figures

Subjects: Numerical Analysis (math.NA)

[173]  arXiv:2305.10965 [pdf, other]

Title: Stopping Criteria for the Conjugate Gradient Algorithm in High-Order Finite Element Methods

Authors: Yichen Guo, Eric de Sturler, Tim Warburton

Comments: 22 pages, 11 figures

Subjects: Numerical Analysis (math.NA)

[174]  arXiv:2305.10968 [pdf, ps, other]

Title: On iterative methods based on Sherman-Morrison-Woodbury splitting

Authors: Dimitrios Mitsotakis

Subjects: Numerical Analysis (math.NA)

[175]  arXiv:2305.10993 [pdf, ps, other]

Title: The universal equivariance properties of exotic aromatic B-series

Authors: Adrien Laurent, Hans Z. Munthe-Kaas

Comments: 25 pages

Subjects: Numerical Analysis (math.NA); Probability (math.PR)

[176]  arXiv:2305.10999 [pdf, ps, other]

Title: Mean Square Temporal error estimates for the 2D stochastic Navier-Stokes equations with transport noise

Authors: Dominic Breit, Thamsanqa Castern Moyo, Andreas Prohl

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP); Probability (math.PR)

[177]  arXiv:2305.11065 [pdf, other]

Title: Uniform approximation of common Gaussian process kernels using equispaced Fourier grids

Authors: Alex Barnett, Philip Greengard, Manas Rachh

Comments: arXiv admin note: substantial text overlap with arXiv:2210.10210

Subjects: Numerical Analysis (math.NA); Computation (stat.CO)

[178]  arXiv:2305.11076 [pdf, other]

Title: Blendstrings: an environment for computing with smooth functions

Authors: Robert M. Corless

Comments: 16 pages, 3 figures, accepted to Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC) 2023

Subjects: Numerical Analysis (math.NA); Mathematical Software (cs.MS)

[179]  arXiv:2305.11103 [pdf, other]

Title: Blockwise inversion and algorithms for inverting large partitioned matrices

Authors: R. Thiru Senthil

Comments: 36 pages, 10 figures

Subjects: Numerical Analysis (math.NA); High Energy Physics - Experiment (hep-ex); High Energy Physics - Phenomenology (hep-ph); Mathematical Physics (math-ph)

[180]  arXiv:2305.11134 [pdf, other]

Title: Generalized convolution quadrature based on the trapezoidal rule

Authors: Lehel Banjai, Matteo Ferrari

Subjects: Numerical Analysis (math.NA)

[181]  arXiv:2305.11356 [pdf, other]

Title: A New Div-Div-Conforming Symmetric Tensor Finite Element Space with Applications to the Biharmonic Equation

Authors: Long Chen, Xuehai Huang

Comments: 38 pages, 2 figures

Subjects: Numerical Analysis (math.NA)

[182]  arXiv:2305.11450 [pdf, ps, other]

Title: A randomized algorithm for the QR decomposition-based approximate SVD

Authors: Xiaohui Ni, An-Bao Xu

Comments: 6 pages,6 figures

Subjects: Numerical Analysis (math.NA)

[183]  arXiv:2305.11514 [pdf, ps, other]

Title: A new family of fourth-order energy-preserving integrators

Authors: Yuto Miyatake

Subjects: Numerical Analysis (math.NA)

[184]  arXiv:2305.11532 [pdf, other]

Title: Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations

Authors: Marco Sutti, Bart Vandereycken

Subjects: Numerical Analysis (math.NA)

[185]  arXiv:2305.11547 [pdf, other]

Title: What part of a numerical problem is ill-conditioned?

Authors: Nick Dewaele, Nick Vannieuwenhoven

Subjects: Numerical Analysis (math.NA)

[186]  arXiv:2305.11635 [pdf, other]

Title: Least-Squares finite element method for the simulation of sea-ice motion

Authors: Fleurianne Bertrand, Henrik Schneider

Subjects: Numerical Analysis (math.NA)

[187]  arXiv:2305.11645 [pdf, other]

Title: The fast reduced QMC matrix-vector product

Authors: Josef Dick, Adrian Ebert, Lukas Herrmann, Peter Kritzer, Marcello Longo

Subjects: Numerical Analysis (math.NA)

[188]  arXiv:2305.11661 [pdf, ps, other]

Title: Contracted Product of Hypermatrices via STP of Matrices

Authors: Daizhan Cheng, Min Meng, Xiao Zhang, Zhengping Ji

Subjects: Numerical Analysis (math.NA)

[189]  arXiv:2305.11998 [pdf, other]

Title: Multilevel Method for Thermal Radiative Transfer Problems with Method of Long Characteristics for the Boltzmann Transport Equation

Authors: Joseph M. Coale, Dmitriy Y. Anistratov

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[190]  arXiv:2305.12038 [pdf, ps, other]

Title: Stabilized finite element methods for the time-spectral convection-diffusion equation

Authors: Mahdi Esmaily, Dongjie Jia

Comments: *Correspondence: me399@cornell.edu

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[191]  arXiv:2305.12105 [pdf, ps, other]

Title: The standard form and convergence theory of the relaxation Kaczmarz-Tanabe method for solving linear systems

Authors: Chuan-gang Kang

Subjects: Numerical Analysis (math.NA)

[192]  arXiv:2305.12117 [pdf, other]

Title: The BEM and DRBEM schemes for the numerical solution of the two-dimensional time-fractional diffusion-wave equations

Authors: Peyman Alipour

Subjects: Numerical Analysis (math.NA)

[193]  arXiv:2305.12186 [pdf, other]

Title: Piecewise orthogonal collocation for computing periodic solutions of coupled delay equations

Authors: Alessia andò, Dimitri Breda

Comments: 32 pages, 6 figures, to appear in Appl. Numer. Math. arXiv admin note: substantial text overlap with arXiv:2105.09199

Subjects: Numerical Analysis (math.NA)

[194]  arXiv:2305.12210 [pdf, other]

Title: The dual reciprocity boundary elements method for one-dimensional nonlinear parabolic partial differential equations

Authors: Peyman Alipour

Subjects: Numerical Analysis (math.NA)

[195]  arXiv:2305.12303 [pdf, other]

Title: On optimal bases for multiscale PDEs and Bayesian homogenization

Authors: Shi Chen, Zhiyan Ding, Qin Li, Stephen J. Wright

Subjects: Numerical Analysis (math.NA)

[196]  arXiv:2305.12340 [pdf, other]

Title: On the Identifiablility of Nonlocal Interaction Kernels in First-Order Systems of Interacting Particles on Riemannian Manifolds

Authors: Sui Tang, Malik Tuerkoen, Hanming Zhou

Subjects: Numerical Analysis (math.NA); Classical Analysis and ODEs (math.CA); Statistics Theory (math.ST)

[197]  arXiv:2305.12343 [pdf, other]

Title: Entropy and energy conservation for thermal atmospheric dynamics using mixed compatible finite elements

Authors: Kieran Ricardo, David Lee, Kenneth Duru

Subjects: Numerical Analysis (math.NA)

[198]  arXiv:2305.12488 [pdf, other]

Title: Schur Decomposition for Stiff Differential Equations

Authors: Thoma Zoto, John C. Bowman

Subjects: Numerical Analysis (math.NA); Computational Engineering, Finance, and Science (cs.CE); Computational Physics (physics.comp-ph)

[199]  arXiv:2305.12533 [pdf, ps, other]

Title: Unified framework for Fiedler-like strong linearizations of polynomial and rational matrices

Authors: Ranjan Kumar Das, Harish K. Pillai

Comments: arXiv admin note: text overlap with arXiv:2008.00427

Subjects: Numerical Analysis (math.NA)

[200]  arXiv:2305.12656 [pdf, other]

Title: Computing Multi-Eigenpairs of High-Dimensional Eigenvalue Problems Using Tensor Neural Networks

Authors: Yifan Wang, Hehi Xie

Comments: 25 pages, 64 figures

Subjects: Numerical Analysis (math.NA)

[201]  arXiv:2305.12727 [pdf, other]

Title: Towards optimal space-time discretization for reachable sets of nonlinear control systems

Authors: Janosch Rieger, Kyria Wawryk

Subjects: Numerical Analysis (math.NA)

[202]  arXiv:2305.12781 [pdf, other]

Title: Uniform estimates for conforming Galerkin method for anisotropic singularly perturbed elliptic problems

Authors: David Maltese, Chokri Ogabi

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[203]  arXiv:2305.12978 [pdf, other]

Title: Filter stabilization for the mildly compressible Euler equations with application to atmosphere dynamics simulations

Authors: Nicola Clinco, Michele Girfoglio, Annalisa Quaini, Gianluigi Rozza

Subjects: Numerical Analysis (math.NA); Fluid Dynamics (physics.flu-dyn)

[204]  arXiv:2305.12992 [pdf, ps, other]

Title: Antithetic multilevel Monte Carlo method for approximations of SDEs with non-globally Lipschitz continuous coefficients

Authors: Chenxu Pang, Xiaojie Wang

Comments: 39 pages, 4 figures

Subjects: Numerical Analysis (math.NA); Probability (math.PR)

[205]  arXiv:2305.13025 [pdf, other]

Title: On a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain and its computation

Authors: Tokuhiro Eto, Yoshikazu Giga

Comments: 28 pages, 17 figures

Subjects: Numerical Analysis (math.NA); Optimization and Control (math.OC)

[206]  arXiv:2305.13065 [pdf, other]

Title: On improving the efficiency of ADER methods

Authors: Maria Han Veiga, Lorenzo Micalizzi, Davide Torlo

Subjects: Numerical Analysis (math.NA)

[207]  arXiv:2305.13118 [pdf, other]

Title: Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils

Authors: Daniel Kressner, Bor Plestenjak

Comments: 26 pages

Subjects: Numerical Analysis (math.NA)

[208]  arXiv:2305.13393 [pdf, other]

Title: High order asymptotic preserving scheme for linear kinetic equations with diffusive scaling

Authors: Megala Anandan, Benjamin Boutin, Nicolas Crouseilles

Subjects: Numerical Analysis (math.NA)

[209]  arXiv:2305.13613 [pdf, ps, other]

Title: A reduced-order model for segregated fluid-structure interaction solvers based on an ALE approach

Authors: Valentin Nkana Ngan, Giovanni Stabile, Andrea Mola, Gianluigi Rozza

Subjects: Numerical Analysis (math.NA)

[210]  arXiv:2305.13847 [pdf, other]

Title: A discontinuous Galerkin approach for atmospheric flows with implicit condensation

Authors: Sabine Doppler, Philip L. Lederer, Joachim Schöberl, Henry von Wahl

Journal-ref: Journal of Computational Physics, 499:112713, 2024

Subjects: Numerical Analysis (math.NA); Atmospheric and Oceanic Physics (physics.ao-ph)

[211]  arXiv:2305.13879 [pdf, other]

Title: Stochastic PDE representation of random fields for large-scale Gaussian process regression and statistical finite element analysis

Authors: Kim Jie Koh, Fehmi Cirak

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph); Machine Learning (stat.ML)

[212]  arXiv:2305.14254 [pdf, other]

Title: A Shape-Newton Method for Free-boundary Problems Subject to The Bernoulli Boundary Condition

Authors: Yiyun Fan, John Billingham, Kristoffer van der Zee

Subjects: Numerical Analysis (math.NA)

[213]  arXiv:2305.14297 [pdf, other]

Title: Order conditions for Runge--Kutta-like methods with solution-dependent coefficients

Authors: Thomas Izgin, David I. Ketcheson, Andreas Meister

Comments: 28 pages, 1 figure

Subjects: Numerical Analysis (math.NA)

[214]  arXiv:2305.14319 [pdf, other]

Title: On the convergence of Fourier spectral methods involving non-compact operators

Authors: Thomas Trogdon

Subjects: Numerical Analysis (math.NA); Functional Analysis (math.FA); Spectral Theory (math.SP)

[215]  arXiv:2305.14686 [pdf, other]

Title: Harmonic Measures and Numerical Computation of Cauchy Problems for Laplace Equations

Authors: Yu Chen, Jin Cheng, Shuai Lu, Masahiro Yamamoto

Subjects: Numerical Analysis (math.NA)

[216]  arXiv:2305.14703 [pdf, other]

Title: Generative diffusion learning for parametric partial differential equations

Authors: Ting Wang, Petr Plechac, Jaroslaw Knap

Subjects: Numerical Analysis (math.NA)

[217]  arXiv:2305.14805 [pdf, other]

Title: Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics

Authors: Chaoyi Cai, Jianxian Qiu, Kailiang Wu

Comments: 49 pages

Subjects: Numerical Analysis (math.NA); Instrumentation and Methods for Astrophysics (astro-ph.IM); Computational Physics (physics.comp-ph); Fluid Dynamics (physics.flu-dyn)

[218]  arXiv:2305.14820 [pdf, other]

Title: A new discretely divergence-free positivity-preserving high-order finite volume method for ideal MHD equations

Authors: Shengrong Ding, Kailiang Wu

Comments: 26 pages

Subjects: Numerical Analysis (math.NA); Instrumentation and Methods for Astrophysics (astro-ph.IM); Computational Physics (physics.comp-ph)

[219]  arXiv:2305.14915 [pdf, other]

Title: Approximation and existence of a viscoelastic phase-field model for tumour growth in two and three dimensions

Authors: Harald Garcke, Dennis Trautwein

Subjects: Numerical Analysis (math.NA)

[220]  arXiv:2305.14978 [pdf, other]

Title: Probabilistic Exponential Integrators

Authors: Nathanael Bosch, Philipp Hennig, Filip Tronarp

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG); Machine Learning (stat.ML)

[221]  arXiv:2305.15107 [pdf, other]

Title: On the eigenvalues of Toeplitz matrices with two off-diagonals

Authors: Sven-Erik Ekström, David Meadon

Subjects: Numerical Analysis (math.NA)

[222]  arXiv:2305.15147 [pdf, other]

Title: Derivation and simulation of a two-phase fluid deformable surface model

Authors: Elena Bachini, Veit Krause, Ingo Nitschke, Axel Voigt

Subjects: Numerical Analysis (math.NA); Mathematical Physics (math-ph)

[223]  arXiv:2305.15163 [pdf, other]

Title: A fast and accurate domain-decomposition nonlinear manifold reduced order model

Authors: Alejandro N. Diaz, Youngsoo Choi, Matthias Heinkenschloss

Subjects: Numerical Analysis (math.NA)

[224]  arXiv:2305.15257 [pdf, other]

Title: Deep Ritz Method with Adaptive Quadrature for Linear Elasticity

Authors: Min Liu, Zhiqiang Cai, Karthik Ramani

Subjects: Numerical Analysis (math.NA); Mathematical Physics (math-ph)

[225]  arXiv:2305.15490 [pdf, ps, other]

Title: Symplectic model reduction of Hamiltonian systems using data-driven quadratic manifolds

Authors: Harsh Sharma, Hongliang Mu, Patrick Buchfink, Rudy Geelen, Silke Glas, Boris Kramer

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG); Mathematical Physics (math-ph); Computational Physics (physics.comp-ph)

[226]  arXiv:2305.15519 [pdf, other]

Title: Optimal separator for an hyperbola; Application to localization

Authors: Luc Jaulin

Comments: arXiv admin note: text overlap with arXiv:2305.10842

Subjects: Numerical Analysis (math.NA)

[227]  arXiv:2305.15552 [pdf, other]

Title: Hybrid Eigensolvers for Nuclear Configuration Interaction Calculations

Authors: Abdullah Alperen, Metin Aktulga, Pieter Maris, Chao Yang

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[228]  arXiv:2305.15661 [pdf, other]

Title: Accelerated solutions of convection-dominated partial differential equations using implicit feature tracking and empirical quadrature

Authors: Marzieh Alireza Mirhoseini, Matthew J. Zahr

Comments: 24 pages, 8 figures, 2 tables

Subjects: Numerical Analysis (math.NA); Optimization and Control (math.OC)

[229]  arXiv:2305.15806 [pdf, ps, other]

Title: Expansion of generalized Stieltjes constants in terms of derivatives of Hurwitz zeta-functions

Authors: M Prévost (ULCO)

Subjects: Numerical Analysis (math.NA)

[230]  arXiv:2305.15812 [pdf, other]

Title: A continuum and computational framework for viscoelastodynamics: II. Strain-driven and energy-momentum consistent schemes

Authors: Ju Liu, Jiashen Guan

Subjects: Numerical Analysis (math.NA)

[231]  arXiv:2305.15815 [pdf, other]

Title: A Burton-Miller-type boundary element method based on a hybrid integral representation and its application to cavity scattering

Authors: Riku Toshimitsu, Hiroshi Isakari

Subjects: Numerical Analysis (math.NA)

[232]  arXiv:2305.15882 [pdf, other]

Title: A filtered Chebyshev spectral method for conservation laws on network

Authors: Sabrina Francesca Pellegrino

Subjects: Numerical Analysis (math.NA)

[233]  arXiv:2305.15949 [pdf, other]

Title: Complexity analysis of quasi continuous level Monte Carlo

Authors: Cedric Aaron Beschle, Andrea Barth

Subjects: Numerical Analysis (math.NA)

[234]  arXiv:2305.16036 [pdf, other]

Title: The weak Galerkin finite element method for the Steklov eigenvalue problem

Authors: Shusheng Li, Hehu Xie, Qilong Zhai

Subjects: Numerical Analysis (math.NA)

[235]  arXiv:2305.16060 [pdf, other]

Title: Local Randomized Neural Networks with Discontinuous Galerkin Methods for Diffusive-Viscous Wave Equation

Authors: Jingbo Sun, Fei Wang

Comments: 20 pages, 5 figures

Subjects: Numerical Analysis (math.NA)

[236]  arXiv:2305.16079 [pdf, other]

Title: Computing the Quadratic Numerical Range

Authors: Birgit Jacob, Lukas Vorberg, Christian Wyss

Subjects: Numerical Analysis (math.NA); Spectral Theory (math.SP)

[237]  arXiv:2305.16432 [pdf, other]

Title: Learning Preconditioner for Conjugate Gradient PDE Solvers

Authors: Yichen Li, Peter Yichen Chen, Tao Du, Wojciech Matusik

Subjects: Numerical Analysis (math.NA)

[238]  arXiv:2305.16678 [pdf, ps, other]

Title: Numerical Approximation of Stochastic Volterra-Fredholm Integral Equation using Walsh Function

Authors: Prit Pritam Paikaray, Sanghamitra Beuria, Nigam Chandra Parida

Comments: arXiv admin note: substantial text overlap with arXiv:2305.00823

Subjects: Numerical Analysis (math.NA); Probability (math.PR)

[239]  arXiv:2305.16684 [pdf, other]

Title: Kaczmarz-Type Method for Solving Matrix Equation $AXB=C$

Authors: Xing Lili, Bao Wendi, Li Weiguo

Subjects: Numerical Analysis (math.NA)

[240]  arXiv:2305.16737 [pdf, other]

Title: Symmetric resonance based integrators and forest formulae

Authors: Yvonne Alama Bronsard, Yvain Bruned, Georg Maierhofer, Katharina Schratz

Comments: 71 pages

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP); Rings and Algebras (math.RA)

[241]  arXiv:2305.16866 [pdf, ps, other]

Title: Automation of Trimming Die Design Inspection by Zigzag Process Between AI and CAD Domains

Authors: Jinsub Lee, Tae-Hyun Kim, Sang-Hwan Jeon, Sung-Hyun Park, Sang-Hi Kim, Eun-Ho Lee, Jee-Hyong Lee

Subjects: Numerical Analysis (math.NA)

[242]  arXiv:2305.16949 [pdf, ps, other]

Title: CUQIpy: I. Computational uncertainty quantification for inverse problems in Python

Authors: Nicolai A B Riis, Amal M A Alghamdi, Felipe Uribe, Silja L Christensen, Babak M Afkham, Per Christian Hansen, Jakob S Jørgensen

Comments: 37 pages, 11 figures

Subjects: Numerical Analysis (math.NA); Mathematical Software (cs.MS)

[243]  arXiv:2305.16951 [pdf, ps, other]

Title: CUQIpy: II. Computational uncertainty quantification for PDE-based inverse problems in Python

Authors: Amal M A Alghamdi, Nicolai A B Riis, Babak M Afkham, Felipe Uribe, Silja L Christensen, Per Christian Hansen, Jakob S Jørgensen

Comments: 38 pages, 12 figures

Subjects: Numerical Analysis (math.NA); Mathematical Software (cs.MS)

[244]  arXiv:2305.17009 [pdf, other]

Title: Evaluation of a Fractional-Calculus-based Numerical Approach to solve Ordinary Differential Equations

Authors: Sergio F. Yapur

Subjects: Numerical Analysis (math.NA)

[245]  arXiv:2305.17249 [pdf, other]

Title: A Reissner-Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations

Authors: Adam Sky, Michael Neunteufel, Jack S. Hale, Andreas Zilian

Comments: Additional implementation material in: this https URL

Subjects: Numerical Analysis (math.NA)

[246]  arXiv:2305.17294 [pdf, other]

Title: A boundary integral equation method for the complete electrode model in electrical impedance tomography with tests on experimental data

Authors: Teemu Tyni, Adam R Stinchcombe, Spyros Alexakis

Comments: 27 pages. The published version linked to below is substantially expanded

Journal-ref: SIAM Journal on Imaging Sciences, volume 17, number 1, 672--705, 2024

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[247]  arXiv:2305.17693 [pdf, other]

Title: Deflation for the off-diagonal block in symmetric saddle point systems

Authors: Andrei Dumitrasc, Carola Kruse, Ulrich Ruede

Comments: 28 pages, 13 figures

Subjects: Numerical Analysis (math.NA)

[248]  arXiv:2305.17774 [pdf, other]

Title: Entropy stable flux correction for hydrostatic reconstruction scheme for shallow water flows

Authors: Sergii Kivva

Journal-ref: J Sci Comput 99, 1 (2024)

Subjects: Numerical Analysis (math.NA)

[249]  arXiv:2305.17835 [pdf, ps, other]

Title: Gauss quadrature for integrals and sums

Authors: A. D. Alhaidari

Comments: 10 pages, 3 tables

Journal-ref: International Journal of Pure and Applied Mathematics Research 3(1), 1-10 (2023)

Subjects: Numerical Analysis (math.NA)

[250]  arXiv:2305.17867 [pdf, ps, other]

Title: Automatic Synthesis of Low-Complexity Translation Operators for the Fast Multipole Method

Authors: Isuru Fernando, Andreas Klöckner

Subjects: Numerical Analysis (math.NA)

[251]  arXiv:2305.17884 [pdf, other]

Title: Combining Monte Carlo and Tensor-network Methods for Partial Differential Equations via Sketching

Authors: Yian Chen, Yuehaw Khoo

Subjects: Numerical Analysis (math.NA); Machine Learning (stat.ML)

[252]  arXiv:2305.17981 [pdf, other]

Title: Spectral-domain method of moments for the modal analysis of line waveguides

Authors: Giampiero Lovat, Walter Fuscaldo, Massimo Moccia, Giuseppe Castaldi, Vincenzo Galdi, Paolo Burghignoli

Comments: 10 pages, 13 figures

Subjects: Numerical Analysis (math.NA); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Materials Science (cond-mat.mtrl-sci); Optics (physics.optics)

[253]  arXiv:2305.17994 [pdf, other]

Title: Suppressing Instability in a Vlasov-Poisson System by an External Electric Field Through Constrained Optimization

Authors: Lukas Einkemmer, Qin Li, Li Wang, Yunan Yang

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[254]  arXiv:2305.18038 [pdf, other]

Title: A reduced conjugate gradient basis method for fractional diffusion

Authors: Yuwen Li, Ludmil T. Zikatanov, Cheng Zuo

Subjects: Numerical Analysis (math.NA)

[255]  arXiv:2305.18054 [pdf, ps, other]

Title: Convergence analysis of an explicit method and its random batch approximation for the McKean-Vlasov equations with non-globally Lipschitz conditions

Authors: Qian Guo, Jie He, Lei Li

Subjects: Numerical Analysis (math.NA)

[256]  arXiv:2305.18173 [pdf, other]

Title: A hybrid time-frequency parametric modelling of medical ultrasound signal transmission

Authors: Chiara Razzetta, Valentina Candiani, Marco Crocco, Federico Benvenuto

Subjects: Numerical Analysis (math.NA)

[257]  arXiv:2305.18195 [pdf, ps, other]

Title: Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes

Authors: Tomas Lundquist, Andrew Winters, Jan Nordström

Subjects: Numerical Analysis (math.NA)

[258]  arXiv:2305.18568 [pdf, other]

Title: Performance of affine-splitting pseudo-spectral methods for fractional complex Ginzburg-Landau equations

Authors: Lisandro A. Raviola, Mariano F. De Leo

Comments: 37 pages, 14 figures

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[259]  arXiv:2305.18642 [pdf, ps, other]

Title: Optimal approximation of infinite-dimensional holomorphic functions

Authors: Ben Adcock, Nick Dexter, Sebastian Moraga

Subjects: Numerical Analysis (math.NA)

[260]  arXiv:2305.18711 [pdf, other]

Title: A Mixed Finite Element Method for Singularly Perturbed Fourth Oder Convection-Reaction-Diffusion Problems on Shishkin Mesh

Authors: Charuka D. Wickramasinghe

Comments: 15 pages, 7 figures

Subjects: Numerical Analysis (math.NA)

[261]  arXiv:2305.18765 [pdf, ps, other]

Title: Compactness estimates for difference schemes for conservation laws with discontinuous flux

Authors: Kenneth H. Karlsen, John D. Towers

Subjects: Numerical Analysis (math.NA)

[262]  arXiv:2305.18773 [pdf, other]

Title: On a neural network approach for solving potential control problem of the semiclassical Schrödinger equation

Authors: Yating Wang, Liu Liu

Subjects: Numerical Analysis (math.NA)

[263]  arXiv:2305.18874 [pdf, other]

Title: Fast evaluation of derivatives of Bézier curves

Authors: Filip Chudy, Paweł Woźny

Subjects: Numerical Analysis (math.NA); Graphics (cs.GR)

[264]  arXiv:2305.19013 [pdf, ps, other]

Title: Flexible Enlarged Conjugate Gradient Methods

Authors: Sophie M. Moufawad

Comments: 28 pages, 14 figures

Subjects: Numerical Analysis (math.NA)

[265]  arXiv:2305.19028 [pdf, ps, other]

Title: Mixed Precision Rayleigh Quotient Iteration for Total Least Squares Problems

Authors: Eda Oktay, Erin Carson

Comments: 20 pages

Subjects: Numerical Analysis (math.NA)

[266]  arXiv:2305.19128 [pdf, ps, other]

Title: Uniform relations between the Gauss-Legendre nodes and weights

Authors: Óscar López Pouso, Javier Segura

Comments: Section 3.1 has been added to this new version

Subjects: Numerical Analysis (math.NA); Classical Analysis and ODEs (math.CA)

[267]  arXiv:2305.19199 [pdf, other]

Title: A boundary-oriented reduced Schwarz domain decomposition technique for parametric advection-diffusion problems

Authors: Manuel Bernardino del Pino, Tomás Chacón Rebollo, Macarena Gómez Mármol

Comments: 18 pages, 7 figures

Subjects: Numerical Analysis (math.NA)

[268]  arXiv:2305.19237 [pdf, other]

Title: Stabilized immersed isogeometric analysis for the Navier-Stokes-Cahn-Hilliard equations, with applications to binary-fluid flow through porous media

Authors: Stein K.F. Stoter, Tom B. van Sluijs, Tristan H.B. Demont, E. Harald van Brummelen, Clemens V. Verhoosel

Subjects: Numerical Analysis (math.NA)

[269]  arXiv:2305.19360 [pdf, other]

Title: Discretization and Optimization using Graphs: One-Dimensional Algorithm

Authors: John Paul Ward

Subjects: Numerical Analysis (math.NA)

[270]  arXiv:2305.19361 [pdf, ps, other]

Title: An absolutely convergent fixed-point fast sweeping WENO method on triangular meshes for steady state of hyperbolic conservation laws

Authors: Liang Li, Jun Zhu, Yong-Tao Zhang

Comments: 35 pages. arXiv admin note: text overlap with arXiv:2006.11885

Subjects: Numerical Analysis (math.NA)

[271]  arXiv:2305.19433 [pdf, other]

Title: A hierarchy of kinetic discrete-velocity models for traffic flow derived from a non-local Prigogine-Herman model

Authors: Raul Borsche, Axel Klar

Subjects: Numerical Analysis (math.NA)

[272]  arXiv:2305.19434 [pdf, ps, other]

Title: Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow

Authors: Harald Garcke, Robert Nürnberg, Quan Zhao

Journal-ref: Comput. Math. Appl. 155 (2024) 209--223

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[273]  arXiv:2305.19508 [pdf, ps, other]

Title: Kaczmarz-Type Methods for Solving Matrix Equations

Authors: Weiguo Li, Wendi Bao, Lili Xing, Zhiwei Guo

Comments: arXiv admin note: text overlap with arXiv:2305.16684

Subjects: Numerical Analysis (math.NA)

[274]  arXiv:2305.19528 [pdf, other]

Title: The dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data

Authors: Dinh-Nho H`ao, Thuy T. Le, Loc H. Nguyen

Subjects: Numerical Analysis (math.NA)

[275]  arXiv:2305.19537 [pdf, other]

Title: Energy stable and maximum bound principle preserving schemes for the Allen-Cahn equation based on the Saul'yev methods

Authors: Xuelong Gu, Yushun Wang, Wenjun Cai

Subjects: Numerical Analysis (math.NA)

[276]  arXiv:2305.19571 [pdf, other]

Title: Fractional weak adversarial networks for the stationary fractional advection dispersion equations

Authors: Dian Feng, Zhiwei Yang, Sen Zou

Subjects: Numerical Analysis (math.NA)

[277]  arXiv:2305.19652 [pdf, other]

Title: A family of three-dimensional Virtual Elements for Hellinger-Reissner elasticity problems

Authors: Michele Visinoni

Subjects: Numerical Analysis (math.NA)

[278]  arXiv:2305.19764 [pdf, other]

Title: Reduced order models for the buckling of hyperelastic beams

Authors: Federico Pichi, Gianluigi Rozza

Subjects: Numerical Analysis (math.NA)

[279]  arXiv:2305.19785 [pdf, other]

Title: A short note on the stability of a class of parallel Runge-Kutta methods

Authors: Friedemann Kemm

Subjects: Numerical Analysis (math.NA)

[280]  arXiv:2305.19806 [pdf, ps, other]

Title: A hybridizable discontinuous Galerkin method for magnetic advection-diffusion problems

Authors: Jindong Wang, Shuonan Wu

Subjects: Numerical Analysis (math.NA)

[281]  arXiv:2305.19833 [pdf, other]

Title: Homogenization of nondivergence-form elliptic equations with discontinuous coefficients and finite element approximation of the homogenized problem

Authors: Timo Sprekeler

Comments: 19 pages

Journal-ref: SIAM J. Numer. Anal., 62 (2024), pp. 646-666

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[282]  arXiv:2305.19853 [pdf, ps, other]

Title: Parametric Shape Holomorphy of Boundary Integral Operators with Applications

Authors: Jürgen Dölz, Fernando Henríquez

Subjects: Numerical Analysis (math.NA)

[283]  arXiv:2305.19880 [pdf, other]

Title: Stability and convergence of in time approximations of hyperbolic elastodynamics via stepwise minimization

Authors: Antonín Češík, Sebastian Schwarzacher

Comments: 33 pages

Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)

[284]  arXiv:2305.19940 [pdf, other]

Title: Bayesian design of measurements for magnetorelaxometry imaging

Authors: Tapio Helin, Nuutti Hyvönen, Jarno Maaninen, Juha-Pekka Puska

Comments: 23 pages, 9 figures

Subjects: Numerical Analysis (math.NA); Statistics Theory (math.ST)

[285]  arXiv:2305.20021 [pdf, other]

Title: Stabilized isogeometric formulation of the Stokes problem on overlapping patches

Authors: Xiaodong Wei, Riccardo Puppi, Pablo Antolin, Annalisa Buffa

Comments: 38 pages, 29 figures. Reviewed version

Subjects: Numerical Analysis (math.NA); Computational Engineering, Finance, and Science (cs.CE)

[286]  arXiv:2305.00458 (cross-list from math.OC) [pdf, ps, other]

Title: Fourier-Gegenbauer Pseudospectral Method for Solving Periodic Higher-Order Fractional Optimal Control Problems

Authors: Kareem T. Elgindy

Comments: 7 pages, 8 figures. arXiv admin note: substantial text overlap with arXiv:2304.04454; text overlap with arXiv:2304.14061

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[287]  arXiv:2305.00959 (cross-list from math.AP) [pdf, ps, other]

Title: Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients

Authors: Francesco Florian, Ralf Hiptmair, Stefan A. Sauter

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[288]  arXiv:2305.01416 (cross-list from cs.IT) [pdf, other]

Title: Trade-off Between Optimal Efficiency and Envelope Correlation Coefficient for Antenna Clusters

Authors: Vojtech Neuman, Miloslav Capek, Lukas Jelinek, Anu Lehtovuori, Ville Viikari

Comments: 10 pages, 12 figures

Subjects: Information Theory (cs.IT); Numerical Analysis (math.NA)

[289]  arXiv:2305.01749 (cross-list from math.OC) [pdf, ps, other]

Title: A posteriori error estimation for the optimal control of time-periodic eddy current problems

Authors: Monika Wolfmayr

Comments: 19 pages, 4 tables

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[290]  arXiv:2305.03208 (cross-list from math.OC) [pdf, ps, other]

Title: The complexity of first-order optimization methods from a metric perspective

Authors: Adrian S. Lewis, Tonghua Tian

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[291]  arXiv:2305.03370 (cross-list from math.CA) [pdf, other]

Title: More properties of $(β,γ)$-Chebyshev functions and points

Authors: Stefano De Marchi, Giacomo Elefante, Francesco Marchetti, Jean-Zacharie Mariethoz

Subjects: Classical Analysis and ODEs (math.CA); Numerical Analysis (math.NA)

[292]  arXiv:2305.03730 (cross-list from math.OC) [pdf, ps, other]

Title: A version of the simplex method for solving linear systems of inequalities and linear programming problems

Authors: Jaan Übi, Evald Übi

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[293]  arXiv:2305.04024 (cross-list from math.OC) [pdf, ps, other]

Title: Differential-Equation Constrained Optimization With Stochasticity

Authors: Qin Li, Li Wang, Yunan Yang

Comments: 27 pages, 7 figures

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[294]  arXiv:2305.04640 (cross-list from math.DS) [pdf, ps, other]

Title: Computer assisted proofs for hyperbolic quasi-periodic invariant tori in dissipative twist maps

Authors: Victor Linroth

Comments: 23 pages

Subjects: Dynamical Systems (math.DS); Numerical Analysis (math.NA)

[295]  arXiv:2305.04686 (cross-list from math.NT) [pdf, other]

Title: New Bounds for the Extreme and the Star Discrepancy of Double-Infinite Matrices

Authors: Jasmin Fiedler, Michael Gnewuch, Christian Weiß

Comments: 16 Pages

Subjects: Number Theory (math.NT); Numerical Analysis (math.NA)

[296]  arXiv:2305.05127 (cross-list from math.OC) [pdf, ps, other]

Title: Accelerated gradient descent method for functionals of probability measures by new convexity and smoothness based on transport maps

Authors: Ken'ichiro Tanaka

Comments: 31 pages

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[297]  arXiv:2305.05623 (cross-list from math.AP) [pdf, ps, other]

Title: Analysis and numerical simulation of a generalized compressible Cahn-Hilliard-Navier-Stokes model with friction effects

Authors: Charles Elbar, Alexandre Poulain

Comments: 32 pages + appendix + bibliography

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[298]  arXiv:2305.05660 (cross-list from math.AP) [pdf, ps, other]

Title: Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data II: Rigorous Numerics

Authors: Jiajie Chen, Thomas Y. Hou

Comments: We have split the original paper arXiv:2210.07191 into two parts. We add the supplementary material for each part and provide the link to the MatLab codes for verification. This is the part II devoted to rigorous numerics. Main paper 77 pages. Supplementary material 64 pages

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[299]  arXiv:2305.06122 (cross-list from math.OC) [pdf, other]

Title: Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems

Authors: Tobias Ehring, Bernard Haasdonk

Comments: 20 pages, 4 figures

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[300]  arXiv:2305.06848 (cross-list from math.OC) [pdf, other]

Title: Stochastic Variance-Reduced Majorization-Minimization Algorithms

Authors: Duy-Nhat Phan, Sedi Bartz, Nilabja Guha, Hung M. Phan

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[301]  arXiv:2305.06870 (cross-list from math.AP) [pdf, ps, other]

Title: Reconstruction of cracks in Calderón's inverse conductivity problem using energy comparisons

Authors: Henrik Garde, Michael Vogelius

Comments: 16 pages

Journal-ref: SIAM J. Math. Anal. 56(1):727-745, 2024

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[302]  arXiv:2305.06879 (cross-list from math.OC) [pdf, ps, other]

Title: Convex Quaternion Optimization for Signal Processing: Theory and Applications

Authors: Shuning Sun, Qiankun Diao, Dongpo Xu, Pauline Bourigault, Danilo P. Mandic

Journal-ref: IEEE Trans. Signal Process., vol. 71, pp. 4106-4115, Oct. 2023

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG); Signal Processing (eess.SP); Numerical Analysis (math.NA)

[303]  arXiv:2305.07298 (cross-list from math.PR) [pdf, ps, other]

Title: Tamed-adaptive Euler-Maruyama approximation for SDEs with superlinearly growing and piecewise continuous drift, superlinearly growing and locally Hölder continuous diffusion

Authors: Minh-Thang Do, Hoang-Long Ngo, Nhat-An Pho

Subjects: Probability (math.PR); Numerical Analysis (math.NA)

[304]  arXiv:2305.07515 (cross-list from math.OC) [pdf, other]

Title: A Shape Optimization Pipeline for Marine Propellers by means of Reduced Order Modeling Techniques

Authors: Anna Ivagnes, Nicola Demo, Gianluigi Rozza

Journal-ref: International Journal for Numerical Methods in Engineering (2024)

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[305]  arXiv:2305.08151 (cross-list from math-ph) [pdf, other]

Title: A multipoint perturbation formula for eigenvalue problems

Authors: Geneviève Dusson, Louis Garrigue, Benjamin Stamm

Subjects: Mathematical Physics (math-ph); Numerical Analysis (math.NA); Spectral Theory (math.SP); Quantum Physics (quant-ph)

[306]  arXiv:2305.08658 (cross-list from math.OC) [pdf, other]

Title: On the connections between optimization algorithms, Lyapunov functions, and differential equations: theory and insights

Authors: Paul Dobson, Jesus Maria Sanz-Serna, Konstantinos Zygalakis

Comments: 23 pages, 5 figures

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[307]  arXiv:2305.09046 (cross-list from math.OC) [pdf, other]

Title: Convex optimization over a probability simplex

Authors: James Chok, Geoffrey M. Vasil

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG); Numerical Analysis (math.NA); Portfolio Management (q-fin.PM); Machine Learning (stat.ML)

[308]  arXiv:2305.09792 (cross-list from math.ST) [pdf, other]

Title: Score Operator Newton transport

Authors: Nisha Chandramoorthy, Florian Schaefer, Youssef Marzouk

Comments: 24 pages; AISTATS 2024

Subjects: Statistics Theory (math.ST); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[309]  arXiv:2305.09823 (cross-list from math.OC) [pdf, other]

Title: Parameter optimization for low-rank matrix recovery in hyperspectral imaging

Authors: Monika Wolfmayr

Comments: 15 pages, 18 figures, 4 tables

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[310]  arXiv:2305.10076 (cross-list from math.AP) [pdf, ps, other]

Title: The mathematical theory of Hughes' model: a survey of results

Authors: Debora Amadori, Boris Andreianov, Marco Di Francesco, Simone Fagioli, Théo Girard, Paola Goatin, Peter Markowich, Jan F. Pietschmann, Massimiliano D. Rosini, Giovanni Russo, Graziano Stivaletta, Marie-Therese Wolfram

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[311]  arXiv:2305.10725 (cross-list from math.PR) [pdf, ps, other]

Title: Efficient inverse $Z$-transform: sufficient conditions

Authors: Svetlana Boyarchenko, Sergei Levendorskiĭ

Subjects: Probability (math.PR); Numerical Analysis (math.NA); Computational Finance (q-fin.CP)

[312]  arXiv:2305.11915 (cross-list from math.FA) [pdf, other]

Title: PINNs error estimates for nonlinear equations in $\mathbb{R}$-smooth Banach spaces

Authors: Jiexing Gao, Yurii Zakharian

Comments: 30 pages, 9 figures

Subjects: Functional Analysis (math.FA); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[313]  arXiv:2305.12076 (cross-list from math.OC) [pdf, ps, other]

Title: Accelerated DC Algorithms for the Asymmetric Eigenvalue Complementarity Problem

Authors: Yi-Shuai Niu

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[314]  arXiv:2305.12202 (cross-list from math.AP) [pdf, ps, other]

Title: Shape Holomorphy of Boundary Integral Operators on Multiple Open Arcs

Authors: Jose Pinto, Fernando Henríquez, Carlos Jerez-Hanckes

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[315]  arXiv:2305.12229 (cross-list from math.AP) [pdf, other]

Title: An Eulerian hyperbolic model for heat transfer derived via Hamilton's principle: analytical and numerical study

Authors: Firas Dhaouadi, Sergey Gavrilyuk

Comments: 27 pages, 9 figures

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA); Fluid Dynamics (physics.flu-dyn)

[316]  arXiv:2305.12405 (cross-list from math.OC) [pdf, ps, other]

Title: Rational approximations of operator monotone and operator convex functions

Authors: Oisín Faust, Hamza Fawzi

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[317]  arXiv:2305.12658 (cross-list from math.RA) [pdf, ps, other]

Title: Dual Drazin generalized inverse for dual matrices

Authors: Amit Kumar, Vaibhav Shekhar

Comments: Under certain necessary and sufficient conditions, we establish the existence of the DDGI of a dual matrix of any index

Subjects: Rings and Algebras (math.RA); Numerical Analysis (math.NA)

[318]  arXiv:2305.12911 (cross-list from math.AP) [pdf, other]

Title: Analytical approximations in short times of exact operational solutions to reaction diffusion problems on bounded intervals

Authors: Anani Kwassi

Comments: 19 pages, 2 figures

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[319]  arXiv:2305.13964 (cross-list from math.AC) [pdf, other]

Title: Finding tensor decompositions with sparse optimization

Authors: Taehyeong Kim, Jeong-Hoon Ju, Yeongrak Kim

Comments: 19 pages, 2 figures. This paper supercedes arXiv:2303.07842

Subjects: Commutative Algebra (math.AC); Numerical Analysis (math.NA)

[320]  arXiv:2305.16004 (cross-list from math.PR) [pdf, other]

Title: The Milstein scheme for singular SDEs with Hölder continuous drift

Authors: Máté Gerencsér, Gerald Lampl, Chengcheng Ling

Comments: 28 pages

Subjects: Probability (math.PR); Numerical Analysis (math.NA)

[321]  arXiv:2305.16368 (cross-list from math.OC) [pdf, other]

Title: Neural incomplete factorization: learning preconditioners for the conjugate gradient method

Authors: Paul Häusner, Ozan Öktem, Jens Sjölund

Comments: Under review. 18 pages, 8 figures

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[322]  arXiv:2305.16527 (cross-list from math.ST) [pdf, other]

Title: When can Regression-Adjusted Control Variates Help? Rare Events, Sobolev Embedding and Minimax Optimality

Authors: Jose Blanchet, Haoxuan Chen, Yiping Lu, Lexing Ying

Subjects: Statistics Theory (math.ST); Information Theory (cs.IT); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[323]  arXiv:2305.17435 (cross-list from cs.IT) [pdf, other]

Title: On the Noise Sensitivity of the Randomized SVD

Authors: Elad Romanov

Subjects: Information Theory (cs.IT); Numerical Analysis (math.NA); Statistics Theory (math.ST); Machine Learning (stat.ML)

[324]  arXiv:2305.17818 (cross-list from math.AP) [pdf, other]

Title: Quasi-linear fractional-order operators in Lipschitz domains

Authors: Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[325]  arXiv:2305.18379 (cross-list from math.OC) [pdf, other]

Title: Constrained Optimization via Exact Augmented Lagrangian and Randomized Iterative Sketching

Authors: Ilgee Hong, Sen Na, Michael W. Mahoney, Mladen Kolar

Comments: 25 pages, 4 figures

Journal-ref: ICML 2023

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[326]  arXiv:2305.18801 (cross-list from math.OC) [pdf, other]

Title: Global minimization of polynomial integral functionals

Authors: Giovanni Fantuzzi, Federico Fuentes

Comments: Improved main results, added section on computational complexity. 27 pages, 9 figures

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[327]  arXiv:2305.19179 (cross-list from math.OC) [pdf, ps, other]

Title: Adaptive Quasi-Newton and Anderson Acceleration Framework with Explicit Global (Accelerated) Convergence Rates

Authors: Damien Scieur

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[328]  arXiv:2305.19239 (cross-list from math.CA) [pdf, other]

Title: Characterization of p-exponents by continuous wavelet transforms, applications to the multifractal analysis of sum of random pulses

Authors: Guillaume Saës (LAMA)

Subjects: Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA); Numerical Analysis (math.NA)

[329]  arXiv:2305.20053 (cross-list from math.OC) [pdf, other]

Title: Efficient PDE-Constrained optimization under high-dimensional uncertainty using derivative-informed neural operators

Authors: Dingcheng Luo, Thomas O'Leary-Roseberry, Peng Chen, Omar Ghattas

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[330]  arXiv:2305.00094 (cross-list from cs.LG) [pdf, other]

Title: Latent Dynamics Networks (LDNets): learning the intrinsic dynamics of spatio-temporal processes

Authors: Francesco Regazzoni, Stefano Pagani, Matteo Salvador, Luca Dede', Alfio Quarteroni

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)

[331]  arXiv:2305.00250 (cross-list from eess.SP) [pdf, other]

Title: A Direct Sampling-Based Deep Learning Approach for Inverse Medium Scattering Problems

Authors: Jianfeng Ning, Fuqun Han, Jun Zou

Subjects: Signal Processing (eess.SP); Machine Learning (cs.LG); Image and Video Processing (eess.IV); Numerical Analysis (math.NA)

[332]  arXiv:2305.00762 (cross-list from physics.flu-dyn) [pdf, other]

Title: Efficient high-order Gradient-based Reconstruction for compressible flows

Authors: Amareshwara Sainadh Chamarthi

Journal-ref: Journal of Computational Physics, 2023

Subjects: Fluid Dynamics (physics.flu-dyn); Numerical Analysis (math.NA)

[333]  arXiv:2305.01281 (cross-list from stat.ML) [pdf, other]

Title: Addressing Parameter Choice Issues in Unsupervised Domain Adaptation by Aggregation

Authors: Marius-Constantin Dinu, Markus Holzleitner, Maximilian Beck, Hoan Duc Nguyen, Andrea Huber, Hamid Eghbal-zadeh, Bernhard A. Moser, Sergei Pereverzyev, Sepp Hochreiter, Werner Zellinger

Comments: Oral talk (notable-top-5%) at International Conference On Learning Representations (ICLR), 2023

Journal-ref: International Conference On Learning Representations (ICLR), https://openreview.net/forum?id=M95oDwJXayG, 2023

Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[334]  arXiv:2305.01758 (cross-list from eess.AS) [pdf, other]

Title: Adversarial Generative NMF for Single Channel Source Separation

Authors: Martin Ludvigsen, Markus Grasmair

Comments: 24 pages, 4 figures

Subjects: Audio and Speech Processing (eess.AS); Machine Learning (cs.LG); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[335]  arXiv:2305.02404 (cross-list from cs.CE) [pdf, ps, other]

Title: Equation-Free Computations as DDDAS Protocols for Bifurcation Studies: A Granular Chain Example

Authors: M.O. Williams, Y.M. Psarellis, D. Pozharskiy, C. Chong, F. Li, J. Yang, P.G. Kevrekidis, I.G. Kevrekidis

Comments: Accepted for publication as a chapter in the Handbook of Dynamic Data Driven Applications Systems

Subjects: Computational Engineering, Finance, and Science (cs.CE); Dynamical Systems (math.DS); Numerical Analysis (math.NA)

[336]  arXiv:2305.02535 (cross-list from cs.DS) [pdf, other]

Title: On the Unreasonable Effectiveness of Single Vector Krylov Methods for Low-Rank Approximation

Authors: Raphael A. Meyer, Cameron Musco, Christopher Musco

Comments: 41 pages, 7 figures. To appear at SODA 2024

Subjects: Data Structures and Algorithms (cs.DS); Numerical Analysis (math.NA)

[337]  arXiv:2305.03499 (cross-list from physics.flu-dyn) [pdf, other]

Title: Adjoint and direct characteristic equations for two-dimensional compressible Euler flows

Authors: Kevin Ancourt, Jacques Peter, Olivier Atinault

Subjects: Fluid Dynamics (physics.flu-dyn); Numerical Analysis (math.NA)

[338]  arXiv:2305.03647 (cross-list from physics.flu-dyn) [pdf, other]

Title: Reducing the Drag of a Bluff Body by Deep Reinforcement Learning

Authors: Enrico Ballini, Alberto Silvio Chiappa, Stefano Micheletti

Subjects: Fluid Dynamics (physics.flu-dyn); Numerical Analysis (math.NA); Optimization and Control (math.OC)

[339]  arXiv:2305.03874 (cross-list from cs.LG) [pdf, other]

Title: Learning Stochastic Dynamical System via Flow Map Operator

Authors: Yuan Chen, Dongbin Xiu

Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[340]  arXiv:2305.03890 (cross-list from cs.LG) [pdf, ps, other]

Title: Approximation by non-symmetric networks for cross-domain learning

Authors: Hrushikesh Mhaskar

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)

[341]  arXiv:2305.04391 (cross-list from cs.LG) [pdf, other]

Title: A Variational Perspective on Solving Inverse Problems with Diffusion Models

Authors: Morteza Mardani, Jiaming Song, Jan Kautz, Arash Vahdat

Subjects: Machine Learning (cs.LG); Computer Vision and Pattern Recognition (cs.CV); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[342]  arXiv:2305.04403 (cross-list from cs.GR) [pdf, other]

Title: A Practical Walk-on-Boundary Method for Boundary Value Problems

Authors: Ryusuke Sugimoto, Terry Chen, Yiti Jiang, Christopher Batty, Toshiya Hachisuka

Comments: Accepted to ACM SIGGRAPH North America 2023 / Transactions on Graphics. See this https URL for updates, including the reference implementation

Subjects: Graphics (cs.GR); Numerical Analysis (math.NA)

[343]  arXiv:2305.04598 (cross-list from physics.flu-dyn) [pdf, other]

Title: A Reduced Basis LES turbulence model based upon Kolmogorov's equilibrium turbulence theory

Authors: Alejandro Bandera Moreno, Cristina Caravaca García, Tomás Chacón Rebollo, Enrique Delgado Ávila, Macarena Gómez Mármol

Subjects: Fluid Dynamics (physics.flu-dyn); Numerical Analysis (math.NA)

[344]  arXiv:2305.05150 (cross-list from physics.geo-ph) [pdf, other]

Title: Physics-informed neural network for seismic wave inversion in layered semi-infinite domain

Authors: Pu Ren, Chengping Rao, Hao Sun, Yang Liu

Subjects: Geophysics (physics.geo-ph); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[345]  arXiv:2305.05245 (cross-list from cs.DC) [pdf, other]

Title: Performance Evaluation of Parallel Sortings on the Supercomputer Fugaku

Authors: Tomoyuki Tokuue, Tomoaki Ishiyama

Comments: 7 pages, 6 figures, accepted by Journal of Information Processing

Journal-ref: Journal of Information Processing, 2023, 31, 452-458

Subjects: Distributed, Parallel, and Cluster Computing (cs.DC); Performance (cs.PF); Numerical Analysis (math.NA)

[346]  arXiv:2305.05675 (cross-list from cs.LG) [pdf, ps, other]

Title: UAdam: Unified Adam-Type Algorithmic Framework for Non-Convex Stochastic Optimization

Authors: Yiming Jiang, Jinlan Liu, Dongpo Xu, Danilo P. Mandic

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA); Optimization and Control (math.OC)

[347]  arXiv:2305.05826 (cross-list from cs.DS) [pdf, ps, other]

Title: Universal Matrix Sparsifiers and Fast Deterministic Algorithms for Linear Algebra

Authors: Rajarshi Bhattacharjee, Gregory Dexter, Cameron Musco, Archan Ray, Sushant Sachdeva, David P Woodruff

Comments: 41 pages

Subjects: Data Structures and Algorithms (cs.DS); Numerical Analysis (math.NA)

[348]  arXiv:2305.06802 (cross-list from cond-mat.dis-nn) [pdf, other]

Title: Physics-Informed Neural Networks for Discovering Localised Eigenstates in Disordered Media

Authors: Liam Harcombe, Quanling Deng

Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[349]  arXiv:2305.06920 (cross-list from eess.SY) [pdf, other]

Title: Pseudo-Hamiltonian system identification

Authors: Sigurd Holmsen, Sølve Eidnes, Signe Riemer-Sørensen

Comments: 33 pages, 21 figures, including the appendix; v2: restructured and modified the text, added Section 6

Subjects: Systems and Control (eess.SY); Machine Learning (cs.LG); Dynamical Systems (math.DS); Numerical Analysis (math.NA)

[350]  arXiv:2305.07947 (cross-list from q-bio.PE) [pdf, other]

Title: Bifurcation analysis of waning-boosting epidemiological models with repeat infections and varying immunity periods

Authors: Richmond Opoku-Sarkodie, Ferenc A.Bartha, Mónika Polner, Gergely Röst

Subjects: Populations and Evolution (q-bio.PE); Dynamical Systems (math.DS); Numerical Analysis (math.NA)

[351]  arXiv:2305.07967 (cross-list from cs.LG) [pdf, ps, other]

Title: Structured Low-Rank Tensor Learning

Authors: Jayadev Naram, Tanmay Kumar Sinha, Pawan Kumar

Comments: Accepted in OPT21, NeurIPS, 13 pages

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)

[352]  arXiv:2305.07996 (cross-list from cs.LG) [pdf, other]

Title: Successive Affine Learning for Deep Neural Networks

Authors: Yuesheng Xu

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA); Optimization and Control (math.OC)

[353]  arXiv:2305.08098 (cross-list from cs.DM) [pdf, other]

Title: A Theory of General Difference in Continuous and Discrete Domain

Authors: Linmi Tao, Ruiyang Liu, Donglai Tao, Wu Xia, Feilong Ma, Yu Cheng, Jingmao Cui

Subjects: Discrete Mathematics (cs.DM); Computer Vision and Pattern Recognition (cs.CV); Numerical Analysis (math.NA)

[354]  arXiv:2305.08224 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Fixing the flux: A dual approach to computing transport coefficients

Authors: Noé Blassel, Gabriel Stoltz

Subjects: Statistical Mechanics (cond-mat.stat-mech); Numerical Analysis (math.NA)

[355]  arXiv:2305.08244 (cross-list from astro-ph.EP) [pdf, ps, other]

Title: Analysis of Prospective Flight Schemes to Venus Accompanied by an Asteroid Flyby

Authors: Vladislav Zubko

Subjects: Earth and Planetary Astrophysics (astro-ph.EP); Instrumentation and Methods for Astrophysics (astro-ph.IM); Numerical Analysis (math.NA); Space Physics (physics.space-ph)

[356]  arXiv:2305.08342 (cross-list from cs.LG) [pdf, other]

Title: Finite Expression Methods for Discovering Physical Laws from Data

Authors: Zhongyi Jiang, Chunmei Wang, Haizhao Yang

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)

[357]  arXiv:2305.08369 (cross-list from physics.flu-dyn) [pdf, other]

Title: A Wave Appropriate Discontinuity Sensor Approach for Compressible Flows

Authors: Amareshwara Sainadh Chamarthi, Natan Hoffmann, Steven Frankel

Comments: 34 pages, 13 Figures

Subjects: Fluid Dynamics (physics.flu-dyn); Numerical Analysis (math.NA)

[358]  arXiv:2305.08466 (cross-list from cs.LG) [pdf, other]

Title: Nearly Optimal VC-Dimension and Pseudo-Dimension Bounds for Deep Neural Network Derivatives

Authors: Yahong Yang, Haizhao Yang, Yang Xiang

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)

[359]  arXiv:2305.08901 (cross-list from hep-th) [pdf, other]

Title: Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces

Authors: Anthony Ashmore, Yang-Hui He, Elli Heyes, Burt A. Ovrut

Comments: 52 pages, 6 figures; v2 - corrected typo in quintic equation

Subjects: High Energy Physics - Theory (hep-th); Differential Geometry (math.DG); Numerical Analysis (math.NA); Spectral Theory (math.SP)

[360]  arXiv:2305.09199 (cross-list from cs.LG) [pdf, other]

Title: Machine learning enhanced real-time aerodynamic forces prediction based on sparse pressure sensor inputs

Authors: Junming Duan, Qian Wang, Jan S. Hesthaven

Comments: 32 pages, 24 figures

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA); Fluid Dynamics (physics.flu-dyn)

[361]  arXiv:2305.09564 (cross-list from cs.CV) [pdf, other]

Title: Image Reconstruction using Superpixel Clustering and Tensor Completion

Authors: Maame G. Asante-Mensah, Anh Huy Phan, Salman Ahmadi-Asl, Zaher Al Aghbari, Andrzej Cichocki

Subjects: Computer Vision and Pattern Recognition (cs.CV); Numerical Analysis (math.NA)

[362]  arXiv:2305.09568 (cross-list from cs.PL) [pdf, other]

Title: On the implementation of checkpointing with high-level algorithmic differentiation

Authors: James R. Maddison

Subjects: Programming Languages (cs.PL); Numerical Analysis (math.NA)

[363]  arXiv:2305.09842 (cross-list from cs.LG) [pdf, other]

Title: A Note on Dimensionality Reduction in Deep Neural Networks using Empirical Interpolation Method

Authors: Harbir Antil, Madhu Gupta, Randy Price

Comments: 13 pages

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)

[364]  arXiv:2305.09901 (cross-list from eess.SY) [pdf, other]

Title: On the Difficulty of Intersection Checking with Polynomial Zonotopes

Authors: Yushen Huang, Ertai Luo, Stanley Bak, Yifan Sun

Subjects: Systems and Control (eess.SY); Numerical Analysis (math.NA)

[365]  arXiv:2305.09910 (cross-list from physics.comp-ph) [pdf, other]

Title: Scalable Flow Simulations with the Lattice Boltzmann Method

Authors: Markus Holzer, Jayesh Badwaik, Radim Vavrik, Gabriel Staffelbach, Andreas Herten, Ondrej Vysocky, Ilan Rocchi, Lubomir Riha, Romain Cuidard, Ulrich Ruede

Subjects: Computational Physics (physics.comp-ph); Numerical Analysis (math.NA)

[366]  arXiv:2305.09929 (cross-list from cond-mat.mtrl-sci) [pdf, other]

Title: An unambiguous and robust formulation for Wannier localization

Authors: Kangbo Li, Hsin-Yu Ko, Robert A. DiStasio Jr., Anil Damle

Comments: 11 pages, 6 figures

Subjects: Materials Science (cond-mat.mtrl-sci); Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[367]  arXiv:2305.10033 (cross-list from cs.LG) [pdf, other]

Title: SHoP: A Deep Learning Framework for Solving High-order Partial Differential Equations

Authors: Tingxiong Xiao, Runzhao Yang, Yuxiao Cheng, Jinli Suo, Qionghai Dai

Comments: We propose the Taylor expansion of neural networks, and applied it to solving high-order PDEs, named SHoP

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)

[368]  arXiv:2305.10296 (cross-list from physics.flu-dyn) [pdf, other]

Title: A phase field model for droplets suspended in viscous liquids under the influence of electric fields

Authors: Yuzhe Qin, Huaxiong Huang, Zilong Song, Shixin Xu

Comments: 46 pages,26 figures

Subjects: Fluid Dynamics (physics.flu-dyn); Numerical Analysis (math.NA)

[369]  arXiv:2305.10356 (cross-list from eess.SP) [pdf, other]

Title: Spectral Clustering via Orthogonalization-Free Methods

Authors: Qiyuan Pang, Haizhao Yang

Subjects: Signal Processing (eess.SP); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[370]  arXiv:2305.10575 (cross-list from cs.SC) [pdf, ps, other]

Title: The Complexity of Diagonalization

Authors: Nikhil Srivastava

Comments: 11pp. Invited survey for ISSAC 2023. Comments welcome

Subjects: Symbolic Computation (cs.SC); Computational Complexity (cs.CC); Data Structures and Algorithms (cs.DS); Numerical Analysis (math.NA)

[371]  arXiv:2305.10599 (cross-list from cs.HC) [pdf, other]

Title: Odyssey: An Interactive Workbench for Expert-Driven Floating-Point Expression Rewriting

Authors: Edward Misback, Caleb C. Chan, Brett Saiki, Eunice Jun, Zachary Tatlock, Pavel Panchekha

Comments: 15 pages, 7 figures, 3 tables

Subjects: Human-Computer Interaction (cs.HC); Programming Languages (cs.PL); Numerical Analysis (math.NA)

[372]  arXiv:2305.10784 (cross-list from physics.flu-dyn) [pdf, other]

Title: Numerical solution of the incompressible Navier-Stokes equations for chemical mixers via quantum-inspired Tensor Train Finite Element Method

Authors: Egor Kornev, Sergey Dolgov, Karan Pinto, Markus Pflitsch, Michael Perelshtein, Artem Melnikov

Subjects: Fluid Dynamics (physics.flu-dyn); Numerical Analysis (math.NA); Quantum Physics (quant-ph)

[373]  arXiv:2305.11120 (cross-list from eess.SP) [pdf, other]

Title: A Compound Gaussian Least Squares Algorithm and Unrolled Network for Linear Inverse Problems

Authors: Carter Lyons, Raghu G. Raj, Margaret Cheney

Comments: Paper and supplementary material published in IEEE TSP. 16 pages, 9 figures, 6 tables; references updated

Journal-ref: in IEEE Transactions on Signal Processing, vol. 71, pp. 4303-4316, 2023

Subjects: Signal Processing (eess.SP); Artificial Intelligence (cs.AI); Numerical Analysis (math.NA)

[374]  arXiv:2305.11930 (cross-list from cs.LG) [pdf, other]

Title: PyTorch Hyperparameter Tuning - A Tutorial for spotPython

Authors: Thomas Bartz-Beielstein

Comments: Refers to spotPython version 0.2.15

Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Numerical Analysis (math.NA)

[375]  arXiv:2305.12205 (cross-list from cs.LG) [pdf, other]

Title: Vocabulary for Universal Approximation: A Linguistic Perspective of Mapping Compositions

Authors: Yongqiang Cai

Comments: ICML2024

Subjects: Machine Learning (cs.LG); Dynamical Systems (math.DS); Numerical Analysis (math.NA)

[376]  arXiv:2305.12288 (cross-list from stat.AP) [pdf, ps, other]

Title: A Cost-Effective Slag-based Mix Activated with Soda Ash and Hydrated Lime: A Pilot Study

Authors: Jayashree Sengupta, Nirjhar Dhang, Arghya Deb

Subjects: Applications (stat.AP); Numerical Analysis (math.NA)

[377]  arXiv:2305.12433 (cross-list from cs.LG) [pdf, other]

Title: ParticleWNN: a Novel Neural Networks Framework for Solving Partial Differential Equations

Authors: Yaohua Zang, Gang Bao

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)

[378]  arXiv:2305.13176 (cross-list from physics.geo-ph) [pdf, other]

Title: On the layer crossing problem for a semi-infinite hydraulic fracture

Authors: A.V. Valov, E.V. Dontsov

Subjects: Geophysics (physics.geo-ph); Computational Engineering, Finance, and Science (cs.CE); Numerical Analysis (math.NA)

[379]  arXiv:2305.13472 (cross-list from cs.LG) [pdf, other]

Title: A comprehensive theoretical framework for the optimization of neural networks classification performance with respect to weighted metrics

Authors: Francesco Marchetti, Sabrina Guastavino, Cristina Campi, Federico Benvenuto, Michele Piana

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[380]  arXiv:2305.13714 (cross-list from physics.geo-ph) [pdf, other]

Title: An implicit level set algorithm for hydraulic fracturing with a stress-layer asymptote

Authors: A.V. Valov, E.V. Dontsov, A.N. Baykin, S.V. Golovin

Subjects: Geophysics (physics.geo-ph); Computational Engineering, Finance, and Science (cs.CE); Numerical Analysis (math.NA)

[381]  arXiv:2305.14267 (cross-list from cs.LG) [pdf, other]

Title: SEEDS: Exponential SDE Solvers for Fast High-Quality Sampling from Diffusion Models

Authors: Martin Gonzalez, Nelson Fernandez, Thuy Tran, Elies Gherbi, Hatem Hajri, Nader Masmoudi

Comments: 60 pages. Camera-Ready version for the 37th Conference on Neural Information Processing Systems (NeurIPS 2023)

Subjects: Machine Learning (cs.LG); Computer Vision and Pattern Recognition (cs.CV); Numerical Analysis (math.NA)

[382]  arXiv:2305.14409 (cross-list from cs.LG) [pdf, ps, other]

Title: Evolution: A Unified Formula for Feature Operators from a High-level Perspective

Authors: Zhicheng Cai

Subjects: Machine Learning (cs.LG); Computer Vision and Pattern Recognition (cs.CV); Numerical Analysis (math.NA)

[383]  arXiv:2305.14568 (cross-list from cs.CV) [pdf, other]

Title: GO-LDA: Generalised Optimal Linear Discriminant Analysis

Authors: Jiahui Liu, Xiaohao Cai, Mahesan Niranjan

Subjects: Computer Vision and Pattern Recognition (cs.CV); Numerical Analysis (math.NA)

[384]  arXiv:2305.15445 (cross-list from cs.LG) [pdf, other]

Title: Deep Learning-enabled MCMC for Probabilistic State Estimation in District Heating Grids

Authors: Andreas Bott, Tim Janke, Florian Steinke

Comments: The code for this paper is available under this https URL

Journal-ref: Applied Energy 336 (2023): 120837

Subjects: Machine Learning (cs.LG); Systems and Control (eess.SY); Numerical Analysis (math.NA); Methodology (stat.ME)

[385]  arXiv:2305.15881 (cross-list from cs.LG) [pdf, other]

Title: Generative Adversarial Reduced Order Modelling

Authors: Dario Coscia, Nicola Demo, Gianluigi Rozza

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)

[386]  arXiv:2305.16402 (cross-list from cs.LG) [pdf, ps, other]

Title: Support Vector Machine Guided Reproducing Kernel Particle Method for Image-Based Modeling of Microstructures

Authors: Yanran Wang, Jonghyuk Baek, Yichun Tang, Jing Du, Mike Hillman, J. S. Chen

Comments: 58 pages, 51 figures, keywords: image-based modeling, support vector machine, reproducing kernel particle method, weak discontinuity, microstructures

Subjects: Machine Learning (cs.LG); Computational Engineering, Finance, and Science (cs.CE); Numerical Analysis (math.NA); Applied Physics (physics.app-ph)

[387]  arXiv:2305.16530 (cross-list from stat.ML) [pdf, other]

Title: Bi-fidelity Variational Auto-encoder for Uncertainty Quantification

Authors: Nuojin Cheng, Osman Asif Malik, Subhayan De, Stephen Becker, Alireza Doostan

Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[388]  arXiv:2305.16689 (cross-list from q-bio.PE) [pdf, ps, other]

Title: Fractional model of COVID--19 with pathogens as shedding effects

Authors: Faïçal Ndaïrou, Moein Khalighi, Leo Lahti

Subjects: Populations and Evolution (q-bio.PE); Numerical Analysis (math.NA)

[389]  arXiv:2305.17155 (cross-list from cs.LG) [pdf, other]

Title: Stability of implicit neural networks for long-term forecasting in dynamical systems

Authors: Leon Migus, Julien Salomon, Patrick Gallinari

Comments: ICLR 2023 Workshop on Physics for Machine Learning

Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Numerical Analysis (math.NA)

[390]  arXiv:2305.17387 (cross-list from cs.LG) [pdf, other]

Title: Learning from Integral Losses in Physics Informed Neural Networks

Authors: Ehsan Saleh, Saba Ghaffari, Timothy Bretl, Luke Olson, Matthew West

Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Numerical Analysis (math.NA)

[391]  arXiv:2305.17531 (cross-list from physics.chem-ph) [pdf, other]

Title: Probing reaction channels via reinforcement learning

Authors: Senwei Liang, Aditya N. Singh, Yuanran Zhu, David T. Limmer, Chao Yang

Subjects: Chemical Physics (physics.chem-ph); Artificial Intelligence (cs.AI); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[392]  arXiv:2305.18414 (cross-list from cs.CV) [pdf, other]

Title: StEik: Stabilizing the Optimization of Neural Signed Distance Functions and Finer Shape Representation

Authors: Huizong Yang, Yuxin Sun, Ganesh Sundaramoorthi, Anthony Yezzi

Subjects: Computer Vision and Pattern Recognition (cs.CV); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[393]  arXiv:2305.18460 (cross-list from cs.LG) [pdf, other]

Title: Minimum Width of Leaky-ReLU Neural Networks for Uniform Universal Approximation

Authors: Li'ang Li, Yifei Duan, Guanghua Ji, Yongqiang Cai

Comments: Include errata of the previous versions

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)

[394]  arXiv:2305.18571 (cross-list from quant-ph) [pdf, ps, other]

Title: Quantum variational embedding for ground-state energy problems: sum of squares and cluster selection

Authors: Bowen Li, Jianfeng Lu

Subjects: Quantum Physics (quant-ph); Numerical Analysis (math.NA)

[395]  arXiv:2305.18702 (cross-list from stat.ML) [pdf, other]

Title: Adversarial Adaptive Sampling: Unify PINN and Optimal Transport for the Approximation of PDEs

Authors: Kejun Tang, Jiayu Zhai, Xiaoliang Wan, Chao Yang

Comments: ICLR, 2024

Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[396]  arXiv:2305.19059 (cross-list from cs.LG) [pdf, other]

Title: Rank-adaptive spectral pruning of convolutional layers during training

Authors: Emanuele Zangrando, Steffen Schotthöfer, Gianluca Ceruti, Jonas Kusch, Francesco Tudisco

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[397]  arXiv:2305.19082 (cross-list from stat.ML) [pdf, other]

Title: Embedding Inequalities for Barron-type Spaces

Authors: Lei Wu

Comments: 11 pages

Journal-ref: Journal of Machine Learning, 2023

Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[398]  arXiv:2305.19279 (cross-list from cs.CE) [pdf, other]

Title: Data-Driven Games in Computational Mechanics

Authors: Kerstin Weinberg, Laurent Strainier, Sergio Conti, Michael Ortiz

Subjects: Computational Engineering, Finance, and Science (cs.CE); Materials Science (cond-mat.mtrl-sci); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[399]  arXiv:2305.19414 (cross-list from cs.LG) [pdf, other]

Title: Efficient Training of Energy-Based Models Using Jarzynski Equality

Authors: Davide Carbone, Mengjian Hua, Simon Coste, Eric Vanden-Eijnden

Subjects: Machine Learning (cs.LG); Disordered Systems and Neural Networks (cond-mat.dis-nn); Numerical Analysis (math.NA); Probability (math.PR)

[400]  arXiv:2305.19663 (cross-list from cs.LG) [pdf, other]

Title: Beyond Regular Grids: Fourier-Based Neural Operators on Arbitrary Domains

Authors: Levi Lingsch, Mike Y. Michelis, Emmanuel de Bezenac, Sirani M. Perera, Robert K. Katzschmann, Siddhartha Mishra

Comments: 20 pages, 12 figures

Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)

[401]  arXiv:2305.19774 (cross-list from cs.CV) [pdf, other]

Title: Ambiguity in solving imaging inverse problems with deep learning based operators

Authors: Davide Evangelista, Elena Morotti, Elena Loli Piccolomini, James Nagy

Subjects: Computer Vision and Pattern Recognition (cs.CV); Machine Learning (cs.LG); Numerical Analysis (math.NA)