Numerical Analysis

Authors and titles for math.NA in Mar 2023

[1]  arXiv:2303.00045 [pdf, other]

Title: Marcinkiewicz--Zygmund inequalities for scattered and random data on the $q$-sphere

Authors: Frank Filbir, Ralf Hielscher, Thomas Jahn, Tino Ullrich

Subjects: Numerical Analysis (math.NA)

[2]  arXiv:2303.00222 [pdf, other]

Title: Efficient and accurate exponential SAV algorithms with relaxation for dissipative system

Authors: Yanrong Zhang, Xiaoli Li

Comments: 27 pages, 16 figures, 5 tables

Subjects: Numerical Analysis (math.NA)

[3]  arXiv:2303.00247 [pdf, ps, other]

Title: Some Remarks on Random Vectors and $O(n)$-Invariants

Authors: Alexander Kushkuley

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

[4]  arXiv:2303.00367 [pdf, other]

Title: A limiting model for a low Reynolds number swimmer with N passive elastic arms

Authors: François Alouges, Aline Lefebvre-Lepot, Jessie Levillain

Subjects: Numerical Analysis (math.NA)

[5]  arXiv:2303.00374 [pdf, other]

Title: Monolithic Convex Limiting for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods

Authors: Andrés M Rueda-Ramírez, Benjamin Bolm, Dmitri Kuzmin, Gregor J Gassner

Subjects: Numerical Analysis (math.NA)

[6]  arXiv:2303.00402 [pdf, other]

Title: On discrete ground states of rotating Bose-Einstein condensates

Authors: Patrick Henning, Mahima Yadav

Subjects: Numerical Analysis (math.NA)

[7]  arXiv:2303.00411 [pdf, ps, other]

Title: Pathwise Uniform Convergence of Time Discretisation Schemes for SPDEs

Authors: Katharina Klioba, Mark Veraar

Comments: 50 pages, this version: major changes in Sections 1, 3.3, and 6.4, added Remarks 4.5, 6.3, 6.5, 6.7, and minor changes in the remaining sections

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

[8]  arXiv:2303.00421 [pdf, other]

Title: Operator-difference schemes on non-uniform grids for second-order evolutionary equations

Authors: P.N. Vabishchevich

Comments: 13 pages, 6 figures

Subjects: Numerical Analysis (math.NA)

[9]  arXiv:2303.00696 [pdf, other]

Title: Trust your source: quantifying source condition elements for variational regularisation methods

Authors: Martin Benning, Tatiana A. Bubba, Luca Ratti, Danilo Riccio

Subjects: Numerical Analysis (math.NA)

[10]  arXiv:2303.00709 [pdf, other]

Title: Robust and Practical Solution of Laplacian Equations by Approximate Elimination

Authors: Yuan Gao, Rasmus Kyng, Daniel A. Spielman

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

[11]  arXiv:2303.00710 [pdf, ps, other]

Title: A virtual element method for the elasticity spectral problem allowing small edges

Authors: Danilo Amigo, Felipe Lepe, Gonzalo Rivera

Subjects: Numerical Analysis (math.NA)

[12]  arXiv:2303.00860 [pdf, other]

Title: Development of a stable two-phase contact MPM algorithm for saturated soil-structure interaction problems

Authors: Chihun Sung, Shyamini Kularathna, Krishna Kumar

Comments: 36 pages, 21 Figures

Subjects: Numerical Analysis (math.NA)

[13]  arXiv:2303.00946 [pdf, ps, other]

Title: A note on spike localization for line spectrum estimation

Authors: Haoya Li, Hongkang Ni, Lexing Ying

Subjects: Numerical Analysis (math.NA); Information Theory (cs.IT); Signal Processing (eess.SP); Statistics Theory (math.ST)

[14]  arXiv:2303.01015 [pdf, other]

Title: Toward a certified greedy Loewner framework with minimal sampling

Authors: Davide Pradovera

Journal-ref: Adv. Comput. Math. (2023), 49(6)

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

[15]  arXiv:2303.01075 [pdf, ps, other]

Title: An Adaptive Parallel Arc-Length Method

Authors: H.M. Verhelst, J.H. Den Besten, M. Möller

Subjects: Numerical Analysis (math.NA)

[16]  arXiv:2303.01163 [pdf, ps, other]

Title: A domain splitting strategy for solving PDEs

Authors: Ken Trotti

Subjects: Numerical Analysis (math.NA)

[17]  arXiv:2303.01273 [pdf, ps, other]

Title: An overview of a posteriori error estimation and post-processingmethods for nonlinear eigenvalue problems

Authors: Geneviève Dusson (LMB, CNRS), Yvon Maday (LJLL (UMR\_7598))

Subjects: Numerical Analysis (math.NA)

[18]  arXiv:2303.01327 [pdf, ps, other]

Title: Noda Iteration for Computing Generalized Tensor Eigenpairs

Authors: Wanli Ma, Weiyang Ding, Yimin Wei

Comments: 45 pages, 6 figures

Subjects: Numerical Analysis (math.NA)

[19]  arXiv:2303.01339 [pdf, other]

Title: Sensitivity of matrix function based network communicability measures: Computational methods and a priori bounds

Authors: Marcel Schweitzer

Subjects: Numerical Analysis (math.NA)

[20]  arXiv:2303.01383 [pdf, other]

Title: Singular Value Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain

Authors: Tong Wei, Weiyang Ding, Yimin Wei

Subjects: Numerical Analysis (math.NA)

[21]  arXiv:2303.01460 [pdf, other]

Title: Compressed QMC volume and surface integration on union of balls

Authors: Giacomo Elefante, Alvise Sommariva, Marco Vianello

Subjects: Numerical Analysis (math.NA)

[22]  arXiv:2303.01472 [pdf, other]

Title: An augmented mixed FEM for the convective Brinkman-Forchheimer problem: a priori and a posteriori error analysis

Authors: Sergio Caucao, Johann Esparza

Subjects: Numerical Analysis (math.NA)

[23]  arXiv:2303.01667 [pdf, other]

Title: Generalizing Lloyd's algorithm for graph clustering

Authors: Tareq Zaman, Nicolas Nytko, Ali Taghibakhshi, Scott MacLachlan, Luke Olson, Matthew West

Comments: 29 pages, 14 figures

Subjects: Numerical Analysis (math.NA)

[24]  arXiv:2303.01725 [pdf, other]

Title: Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods

Authors: Belen López, Hanna Okrasińska-Płociniczak, Łukasz Płociniczak, Juan Rocha

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

[25]  arXiv:2303.01760 [pdf, other]

Title: Spatially-varying meshless approximation method for enhanced computational efficiency

Authors: Mitja Jančič, Miha Rot, Gregor Kosec

Comments: Preprint(reviewed)

Subjects: Numerical Analysis (math.NA)

[26]  arXiv:2303.01787 [pdf, other]

Title: The curse of dimensionality for the $L_p$-discrepancy with finite $p$

Authors: Erich Novak, Friedrich Pillichshammer

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

[27]  arXiv:2303.01856 [pdf, other]

Title: Dynamical low-rank approximation of the Vlasov-Poisson equation with piecewise linear spatial boundary

Authors: André Uschmajew, Andreas Zeiser

Comments: The code is available at this https URL

Journal-ref: Bit Numer Math 64, 19 (2024)

Subjects: Numerical Analysis (math.NA)

[28]  arXiv:2303.01965 [pdf, other]

Title: A Lifted Bregman Formulation for the Inversion of Deep Neural Networks

Authors: Xiaoyu Wang, Martin Benning

Comments: 21 pages, 9 figures

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

[29]  arXiv:2303.01967 [pdf, ps, other]

Title: Sigmoid functions and multiscale resolution of singularities

Authors: Daan Huybrechs, Lloyd N. Trefethen

Subjects: Numerical Analysis (math.NA)

[30]  arXiv:2303.02042 [pdf, other]

Title: GMRES, pseudospectra, and Crouzeix's conjecture for shifted and scaled Ginibre matrices

Authors: Tyler Chen, Anne Greenbaum, Thomas Trogdon

Subjects: Numerical Analysis (math.NA)

[31]  arXiv:2303.02090 [pdf, other]

Title: Parallel-in-Time Solver for the All-at-Once Runge--Kutta Discretization

Authors: Santolo Leveque, Luca Bergamaschi, Ángeles Martínez, John W. Pearson

Subjects: Numerical Analysis (math.NA)

[32]  arXiv:2303.02252 [pdf, other]

Title: Oscillatory behaviour of the RBF-FD approximation accuracy under increasing stencil size

Authors: Andrej Kolar-Požun, Mitja Jančič, Miha Rot, Gregor Kosec

Comments: 8 pages, 6 figures, ICCS 2023 Conference Paper

Subjects: Numerical Analysis (math.NA)

[33]  arXiv:2303.02339 [pdf, other]

Title: A Nyström Method for Scattering by a Two-layered Medium with a Rough Boundary

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

Comments: 58 pages with 6 figures

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

[34]  arXiv:2303.02365 [pdf, ps, other]

Title: Supercloseness analysis of the nonsymmetric interior penalty Galerkin method on Bakhvalov-type mesh

Authors: Xiaoqi Ma, Jin Zhang

Subjects: Numerical Analysis (math.NA)

[35]  arXiv:2303.02494 [pdf, ps, other]

Title: Generalized Pole-Residue Method for Dynamic Analysis of Nonlinear Systems based on Volterra Series

Authors: Qianying Cao, Anteng Chang, Junfeng Du, Lin Lu

Comments: 24 pages, 28 figures, 2 tables

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

[36]  arXiv:2303.02554 [pdf, other]

Title: Self-reinforced polynomial approximation methods for concentrated probability densities

Authors: Tiangang Cui, Sergey Dolgov, Olivier Zahm

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

[37]  arXiv:2303.02564 [pdf, ps, other]

Title: Supercloseness of finite element method for a singularly perturbed convection-diffusion problem on Bakhvalov-type mesh in 2D

Authors: Chunxiao Zhang, Jin Zhang

Comments: 34 pages with one figure and one table

Subjects: Numerical Analysis (math.NA)

[38]  arXiv:2303.02590 [pdf, other]

Title: Domain Decomposition with Neural Network Interface Approximations for time-harmonic Maxwell's equations with different wave numbers

Authors: T. Knoke, S. Kinnewig, S. Beuchler, A. Demircan, U. Morgner, T. Wick

Comments: 17 pages, 11 figures, 2 tables

Subjects: Numerical Analysis (math.NA)

[39]  arXiv:2303.02638 [pdf, other]

Title: Discretization of non-uniform rational B-spline (NURBS) models for meshless isogeometric analysis

Authors: Urban Duh, Varun Shankar, Gregor Kosec

Subjects: Numerical Analysis (math.NA)

[40]  arXiv:2303.02686 [pdf, other]

Title: Genuinely multidimensional physical-constraints-preserving finite volume schemes for the special relativistic hydrodynamics

Authors: Dan Ling, Huazhong Tang

Comments: 44 pages, 36 figures. arXiv admin note: substantial text overlap with arXiv:2011.00906

Subjects: Numerical Analysis (math.NA)

[41]  arXiv:2303.02827 [pdf, ps, other]

Title: Energy stable and $L^2$ norm convergent BDF3 scheme for the Swift-Hohenberg equation

Authors: Xuan Zhao, Ran Yang, Zhongqin Xue, Hong Sun

Subjects: Numerical Analysis (math.NA)

[42]  arXiv:2303.02986 [pdf, other]

Title: Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems

Authors: Junming Duan, Jan S. Hesthaven

Comments: 32 pages, 17 figures

Journal-ref: J. Comput. Phys., 497 (2024), 112621

Subjects: Numerical Analysis (math.NA)

[43]  arXiv:2303.03060 [pdf, other]

Title: Numerical analysis of a nonsmooth quasilinear elliptic control problem: II. Finite element discretization and error estimates

Authors: Christian Clason, Vu Huu Nhu, Arnd Rösch

Comments: Split out from arXiv:2203.16865

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

[44]  arXiv:2303.03074 [pdf, other]

Title: Adaptive Localized Reduced Basis Methods for Large Scale Parameterized Systems

Authors: Tim Keil, Mario Ohlberger, Felix Schindler

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

[45]  arXiv:2303.03085 [pdf, ps, other]

Title: Unfitted finite element methods for axisymmetric two-phase flow

Authors: Harald Garcke, Robert Nürnberg, Quan Zhao

Journal-ref: J. Sci. Comput. 97 (2023) 14

Subjects: Numerical Analysis (math.NA)

[46]  arXiv:2303.03223 [pdf, ps, other]

Title: Krylov subspace methods for the solution of linear Toeplitz systems

Authors: Grigorios Tachyridis

Comments: 146 pages, in Greek language, PhD thesis

Subjects: Numerical Analysis (math.NA)

[47]  arXiv:2303.03260 [pdf, other]

Title: On the Use of Neural Networks for Full Waveform Inversion

Authors: Leon Herrmann, Tim Bürchner, Felix Dietrich, Stefan Kollmannsberger

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

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

[48]  arXiv:2303.03314 [pdf, ps, other]

Title: Efficiency of the Multisection Method

Authors: J. S. C. Prentice

Comments: 12 pages, 4 figures

Subjects: Numerical Analysis (math.NA)

[49]  arXiv:2303.03358 [pdf, other]

Title: Near-Optimal Approximation of Matrix Functions by the Lanczos Method

Authors: Noah Amsel, Tyler Chen, Anne Greenbaum, Cameron Musco, Chris Musco

Subjects: Numerical Analysis (math.NA)

[50]  arXiv:2303.03547 [pdf, other]

Title: Small singular values can increase in lower precision

Authors: Christos Boutsikas, Petros Drineas, Ilse C.F. Ipsen

Subjects: Numerical Analysis (math.NA)