Numerical Analysis

Authors and titles for math.NA in Dec 2023

[1]  arXiv:2312.00005 [pdf, other]

Title: NumCalc: An open source BEM code for solving acoustic scattering problems

Authors: Wolfgang Kreuzer, Katharina Pollack, Fabian Brinkmann, Piotr Majdak

Comments: 50 pages, 20 figures

Subjects: Numerical Analysis (math.NA)

[2]  arXiv:2312.00007 [pdf, other]

Title: Space-Time Decomposition of Kalman Filter

Authors: Luisa D'Amore, Rosalba Cacciapuoti

Subjects: Numerical Analysis (math.NA)

[3]  arXiv:2312.00010 [pdf, other]

Title: Efficient calculation of the integral equation for simulating 2D TE scattering in a homogeneous medium using the Ewald method and a Gabor frame discretization

Authors: Xinyang Lua, M. C. van Beurdenb, Qingbiao Wua

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

[4]  arXiv:2312.00011 [pdf, other]

Title: The Bivariate Normal Integral via Owen's T Function as a Modified Euler's Arctangent Series

Authors: Janez Komelj

Comments: 24 pages with 1 figure

Journal-ref: American Journal of Computational Mathematics, 2023, Vol. 13, No. 4, 476-504

Subjects: Numerical Analysis (math.NA)

[5]  arXiv:2312.00012 [pdf, other]

Title: Multi-fidelity uncertainty quantification for homogenization problems in structure-property relationships from crystal plasticity finite elements

Authors: Anh Tran, Pieterjan Robbe, Theron Rodgers, Hojun Lim

Subjects: Numerical Analysis (math.NA); Materials Science (cond-mat.mtrl-sci)

[6]  arXiv:2312.00014 [pdf, ps, other]

Title: A class of fractional differential equations via power non-local and non-singular kernels: existence, uniqueness and numerical approximations

Authors: Hanaa Zitane, Delfim F. M. Torres

Comments: This is a preprint of a paper whose final form is published in 'Physica D: Nonlinear Phenomena' (ISSN 0167-2789). Submitted 19-Jan-2023; revised 15-May-2023; accepted for publication 11-Oct-2023

Journal-ref: Phys. D 457 (2024), Art. 133951, 9 pp

Subjects: Numerical Analysis (math.NA)

[7]  arXiv:2312.00017 [pdf, other]

Title: A constructive approach for investigating the stability of incommensurate fractional differential systems

Authors: Kai Diethelm, Safoura Hashemishahraki, Ha Duc Thai, Hoang The Tuan

Comments: 8 Figures

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

[8]  arXiv:2312.00020 [pdf, other]

Title: A new numerical technique based on Chelyshkov polynomials for solving two-dimensional stochastic Itô-Volterra Fredholm integral equation

Authors: S. Saha Ray, Reema Gupta

Subjects: Numerical Analysis (math.NA)

[9]  arXiv:2312.00022 [pdf, other]

Title: A finite element method for stochastic diffusion equations using fluctuating hydrodynamics

Authors: P. Martínez-Lera, M. De Corato

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

[10]  arXiv:2312.00028 [pdf, other]

Title: Constructive Representation of Functions in $N$-Dimensional Sobolev Space

Authors: Declan S. Jagt, Matthew M. Peet

Subjects: Numerical Analysis (math.NA)

[11]  arXiv:2312.00058 [pdf, ps, other]

Title: Uniform estimates for a fully discrete scheme integrating the linear heat equation on a bounded interval with pure Neumann boundary conditions

Authors: Guillaume Dujardin (Paradyse), Pauline Lafitte (MICS, FR3487)

Subjects: Numerical Analysis (math.NA)

[12]  arXiv:2312.00172 [pdf, other]

Title: Projected exponential methods for stiff dynamical low-rank approximation problems

Authors: Benjamin Carrel, Bart Vandereycken

Comments: 39 pages, 9 figures

Subjects: Numerical Analysis (math.NA)

[13]  arXiv:2312.00228 [pdf, other]

Title: Multi-Axis and Multi-Vector Gradient Estimations: Using Multi-Sampled Complex Unit Vectors to Estimate Gradients of Real Functions

Authors: Ergun Akleman, Alan Freed

Comments: 10 pages

Subjects: Numerical Analysis (math.NA)

[14]  arXiv:2312.00229 [pdf, other]

Title: WENO based adaptive image zooming algorithm

Authors: Bojan Crnković, Jerko Škifić, Tina Bosner

Subjects: Numerical Analysis (math.NA)

[15]  arXiv:2312.00291 [pdf, other]

Title: The Existence the Solution of Nonlinear Discrete Schemes and Convergence of a Linearized Iterative Method for time-dependent PNP Equations

Authors: Yang Liu, Shi Shu, Ying Yang

Subjects: Numerical Analysis (math.NA)

[16]  arXiv:2312.00327 [pdf, other]

Title: A Framework for Solving Parabolic Partial Differential Equations on Discrete Domains

Authors: Leticia Mattos Da Silva, Oded Stein, Justin Solomon

Comments: 13 pages, 16 figures

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

[17]  arXiv:2312.00328 [pdf, ps, other]

Title: On Novel Fixed-Point-Type Iterations with Structure-Preserving Doubling Algorithms for Stochastic Continuous-time Algebraic Riccati equations

Authors: Tsung-Ming Huang, Yueh-Cheng Kuo, Ren-Cang Li, Wen-Wei Lin

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

[18]  arXiv:2312.00463 [pdf, ps, other]

Title: Low-rank-modified Galerkin methods for the Lyapunov equation

Authors: Kathryn Lund, Davide Palitta

Subjects: Numerical Analysis (math.NA)

[19]  arXiv:2312.00489 [pdf, other]

Title: Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs

Authors: Philipp Bringmann, Maximilian Brunner, Dirk Praetorius, Julian Streitberger

Subjects: Numerical Analysis (math.NA)

[20]  arXiv:2312.00538 [pdf, other]

Title: A Preconditioned Interior Point Method for Support Vector Machines Using an ANOVA-Decomposition and NFFT-Based Matrix-Vector Products

Authors: Theresa Wagner, John W. Pearson, Martin Stoll

Comments: Official Code this https URL

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

[21]  arXiv:2312.00630 [pdf, ps, other]

Title: Numerical computation of the stress concentration between closely located stiff inclusions of general shapes

Authors: Xiaofei Li, Shengqi Lin, Haojie Wang

Comments: 18 pages, 13 figures

Subjects: Numerical Analysis (math.NA)

[22]  arXiv:2312.00644 [pdf, other]

Title: Neural networks for the approximation of Euler's elastica

Authors: Elena Celledoni, Ergys Çokaj, Andrea Leone, Sigrid Leyendecker, Davide Murari, Brynjulf Owren, Rodrigo T. Sato Martín de Almagro, Martina Stavole

Subjects: Numerical Analysis (math.NA)

[23]  arXiv:2312.00676 [pdf, ps, other]

Title: Minimal rank factorizations of polynomial matrices

Authors: Andrii Dmytryshyn, Froilán Dopico, Paul Van Dooren

Subjects: Numerical Analysis (math.NA)

[24]  arXiv:2312.00707 [pdf, ps, other]

Title: On the Periodicity of Singular Vectors and the Holomorphic Block-Circulant SVD on the Unit Circumference

Authors: Giovanni Barbarino

Subjects: Numerical Analysis (math.NA)

[25]  arXiv:2312.00713 [pdf, other]

Title: Nonlinear-manifold reduced order models with domain decomposition

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

Comments: To be included in the proceedings of the Machine Learning and the Physical Sciences Workshop at NeurIPS 2023. arXiv admin note: text overlap with arXiv:2305.15163

Subjects: Numerical Analysis (math.NA)