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)