Numerical Analysis

Authors and titles for math.NA in Mar 2024, skipping first 25

[26]  arXiv:2403.02035 [pdf, ps, other]

Title: Exponential Expressivity of ReLU$^k$ Neural Networks on Gevrey Classes with Point Singularities

Authors: Joost A. A. Opschoor, Christoph Schwab

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

[27]  arXiv:2403.02139 [pdf, ps, other]

Title: Analysis on aggregation and block smoothers in multigrid methods for block Toeplitz linear systems

Authors: Matthias Bolten, Marco Donatelli, Paola Ferrari, Isabella Furci

Subjects: Numerical Analysis (math.NA)

[28]  arXiv:2403.02141 [pdf, other]

Title: Multi-Derivative Runge-Kutta Flux Reconstruction for hyperbolic conservation laws

Authors: Arpit Babbar, Praveen Chandrashekar

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

[29]  arXiv:2403.02584 [pdf, other]

Title: A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data

Authors: Jianfeng Ning, Fuqun Han, Jun Zou

Subjects: Numerical Analysis (math.NA)

[30]  arXiv:2403.02595 [pdf, other]

Title: Learning Stochastic Dynamics from Data

Authors: Ziheng Guo, Igor Cialenco, Ming Zhong

Subjects: Numerical Analysis (math.NA)

[31]  arXiv:2403.02660 [pdf, other]

Title: A randomized lattice rule without component-by-component construction

Authors: Takashi Goda

Comments: 21 pages, 3 figures

Subjects: Numerical Analysis (math.NA)

[32]  arXiv:2403.02785 [pdf, other]

Title: A Fully-discrete Semi-Lagrangian scheme for a price formation MFG model

Authors: Yuri Ashrafyan, Diogo Gomes

Comments: 18 pages, 4 figures, 1 table

Subjects: Numerical Analysis (math.NA)

[33]  arXiv:2403.02816 [pdf, other]

Title: Efficient simulation of complex Ginzburg--Landau equations using high-order exponential-type methods

Authors: Marco Caliari, Fabio Cassini

Subjects: Numerical Analysis (math.NA)

[34]  arXiv:2403.02834 [pdf, other]

Title: Second-order robust parallel integrators for dynamical low-rank approximation

Authors: Jonas Kusch

Subjects: Numerical Analysis (math.NA)

[35]  arXiv:2403.02847 [pdf, ps, other]

Title: Fast Numerical Approximation of Parabolic Problems Using Model Order Reduction and the Laplace Transform

Authors: Fernando Henríquez, Jan S. Hesthaven

Subjects: Numerical Analysis (math.NA)

[36]  arXiv:2403.02913 [pdf, other]

Title: Scientific machine learning for closure models in multiscale problems: a review

Authors: Benjamin Sanderse, Panos Stinis, Romit Maulik, Shady E. Ahmed

Subjects: Numerical Analysis (math.NA)

[37]  arXiv:2403.02940 [pdf, other]

Title: ISC: an RADI-type method for stochastic continuous-time algebraic Riccati equations

Authors: Zhen-Chen Guo, Xin Liang

Comments: 19 pages, 2 figures, 2 tables

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

[38]  arXiv:2403.03021 [pdf, other]

Title: Accelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators

Authors: Joubine Aghili, Emmanuel Franck, Romain Hild, Victor Michel-Dansac, Vincent Vigon

Subjects: Numerical Analysis (math.NA)

[39]  arXiv:2403.03076 [pdf, other]

Title: Fast and robust method for screened Poisson lattice Green's function using asymptotic expansion and Fast Fourier Transform

Authors: Wei Hou, Tim Colonius

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

[40]  arXiv:2403.03168 [pdf, other]

Title: Learning Explicitly Conditioned Sparsifying Transforms

Authors: Andrei Pătraşcu, Cristian Rusu, Paul Irofti

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

[41]  arXiv:2403.03213 [pdf, other]

Title: On the computation of lattice sums without translational invariance

Authors: Andreas A. Buchheit, Torsten Keßler, Kirill Serkh

Comments: Improved abstract

Subjects: Numerical Analysis (math.NA); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Lattice (hep-lat)

[42]  arXiv:2403.03268 [pdf, other]

Title: A Transient Thermal Model for Power Electronics Systems

Authors: Neelakantan Padmanabhan

Comments: Accepted for publication in IEEE Southeastcon 24

Subjects: Numerical Analysis (math.NA)

[43]  arXiv:2403.03320 [pdf, other]

Title: Linearization-based direct reconstruction for EIT using triangular Zernike decompositions

Authors: Antti Autio, Henrik Garde, Markus Hirvensalo, Nuutti Hyvönen

Comments: 20 pages, 9 figures, 4 tables

Subjects: Numerical Analysis (math.NA)

[44]  arXiv:2403.03418 [pdf, other]

Title: An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation, Part II. Piecewise-smooth interfaces

Authors: Zhiming Chen, Yong Liu

Comments: 32 pages

Subjects: Numerical Analysis (math.NA)

[45]  arXiv:2403.03440 [pdf, other]

Title: A component-splitting implicit time integration for multicomponent reacting flows simulations

Authors: Jingchao Zhang, Jinsheng Cai, Shucheng Pan

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

[46]  arXiv:2403.03459 [pdf, other]

Title: TGPT-PINN: Nonlinear model reduction with transformed GPT-PINNs

Authors: Yanlai Chen, Yajie Ji, Akil Narayan, Zhenli Xu

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

[47]  arXiv:2403.03665 [pdf, other]

Title: Robust radial basis function interpolation based on geodesic distance for the numerical coupling of multiphysics problems

Authors: Michele Bucelli, Francesco Regazzoni, Luca Dede', Alfio Quarteroni

Comments: 23 pages, 9 figures

Subjects: Numerical Analysis (math.NA)

[48]  arXiv:2403.03678 [pdf, other]

Title: Application of Deep Learning Reduced-Order Modeling for Single-Phase Flow in Faulted Porous Media

Authors: Enrico Ballini, Luca Formaggia, Alessio Fumagalli, Anna Scotti, Paolo Zunino

Subjects: Numerical Analysis (math.NA)

[49]  arXiv:2403.03782 [pdf, other]

Title: On the Injectivity Radius of the Stiefel Manifold: Numerical investigations and an explicit construction of a cut point at short distance

Authors: Jakob Stoye, Ralf Zimmermann

Subjects: Numerical Analysis (math.NA)

[50]  arXiv:2403.03810 [pdf, other]

Title: Quantitative estimates: How well does the discrete Fourier transform approximate the Fourier transform on $\mathbb{R}$

Authors: Martin Ehler, Karlheinz Gröchenig, Andreas Klotz

Comments: 21 pages

Subjects: Numerical Analysis (math.NA)