Numerical Analysis

Authors and titles for math.NA in Mar 2023, skipping first 25

[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)