math.NA

Papers filed under math.NA on arXiv, each one already summarized by Paperlayer. Open any of them to read the summary beside the original PDF, with every point linked to the line, figure, or table it came from.

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181 to 240 of 952

Linear and nonlinear solvers for variational phase-field models of brittle fracture
Patrick E. Farrell, Corrado Maurini
math.NAarXiv:1511.08463v22015
High-order Virtual Element Method on polyhedral meshes
L. Beirão da Veiga, F. Dassi, A. Russo
math.NAarXiv:1703.02882v22017
Parallel Selective Algorithms for Big Data Optimization
Francisco Facchinei, Gesualdo Scutari, Simone Sagratella
cs.DCcs.ITmath.NAarXiv:1402.5521v52014
Greedy Feature Selection for Subspace Clustering
Eva L. Dyer, Aswin C. Sankaranarayanan, Richard G. Baraniuk
cs.LGmath.NAstat.MLarXiv:1303.4778v22013
The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation
Long Chen, Michael Holst, Jinchao Xu
math.NAarXiv:1001.1350v12010
Revisiting kinetic electrostatic electron non-linear (KEEN) waves in the presence of dynamical ions
Rostislav-Paul Wilhelm, Philipp Krah, Kai Schneider +2
physics.plasm-phmath.NAarXiv:2609.04941v12026
A Complete Resolution of Forsythe's Conjecture for Restarted Conjugate Gradients
Matthew J. Colbrook, George Stepaniants, Alex Townsend
math.NAmath.DSmath.OCarXiv:2609.04659v12026
A simple shallow neural network for emulating the solution to singularly perturbed problems
Christos Xenophontos, Aayushman Raina
math.NAarXiv:2609.05180v12026
A Generalized Scalar Auxiliary Variable Method for Structure-Preserving and Efficient Integration of Nonlinear port-Hamiltonian DAEs
Aashutosh Sharma, Andreas Bartel, Manuel Schaller
math.NAarXiv:2609.05246v12026
Numerical experiments on the Hardy conjecture for the Gauss circle problem
Satoshi Yamaguchi, Shoichi Fujima, Shigehiko Kuratsubo +2
math.NTmath.NAarXiv:2609.04725v12026
Frequency-explicit convergence analysis of a multiscale finite element method for highly heterogeneous scattering problems
T. Chaumont-Frelet, Z. Kassali
math.NAmath.AParXiv:2609.04930v12026
Energy-Consistent Splitting and Decomposition Approaches for Coupled port-Hamiltonian ODEs
Marius Mönch, Nicole Marheineke, Andreas Bartel +2
math.NAmath.DSarXiv:2609.04884v12026
A class of high-order discontinuous-Galerkin methods satisfying infinitely many entropy conditions with provable error estimates and strong convergence for general nonlinear conservation laws
Yuanzhe Wei, Chi-Wang Shu
math.NAphysics.comp-pharXiv:2609.04687v12026
A DEIM Induced CUR Factorization
D. C. Sorensen, M. Embree
math.NAarXiv:1407.5516v22014
Adaptively Compressed Exchange Operator
Lin Lin
physics.comp-phmath.NAphysics.chem-pharXiv:1601.07159v22016
A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations
Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse +1
math.NAarXiv:1901.10854v22019
Hessian Schatten-Norm Regularization for Linear Inverse Problems
Stamatios Lefkimmiatis, John Paul Ward, Michael Unser
math.OCcs.CVmath.NAarXiv:1209.3318v32012
A Hierarchical Multilevel Markov Chain Monte Carlo Algorithm with Applications to Uncertainty Quantification in Subsurface Flow
T. J. Dodwell, C. Ketelsen, R. Scheichl +1
math.NAarXiv:1303.7343v22013
Convergence and acceleration of a nonlinear fixed-point iteration for computing the Fitness Centrality of general graphs
Nikita Deniskin, Michele Benzi
math.NAcs.SIarXiv:2608.28634v12026
Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients
Xuerong Mao, Lukasz Szpruch
math.NAarXiv:1204.1874v12012
Shallow neural network approximation in mixed Sobolev spaces
Yuwen Li, Guozhi Zhang
math.NAcs.LGarXiv:2609.05263v12026
Pretrain Finite Element Method: A Pretraining and Warm-start Framework for PDEs via Physics-Informed Neural Operators
Yizheng Wang, Zhongkai Hao, Mohammad Sadegh Eshaghi +4
math.NAarXiv:2601.03086v32026
Improving Flow Matching by Aligning Flow Divergence
Yuhao Huang, Taos Transue, Shih-Hsin Wang +3
cs.LGcs.AImath.NAarXiv:2602.00869v12026
Randomized Block Kaczmarz Method with Projection for Solving Least Squares
Deanna Needell, Ran Zhao, Anastasios Zouzias
math.NAarXiv:1403.4192v22014
Nonconvex notions of regularity and convergence of fundamental algorithms for feasibility problems
Robert Hesse, D. Russell Luke
math.OCmath.NAarXiv:1212.3349v22012
Fast Gauss Sums via Flash Attention
Nicolaj Rux, Sebastian Neumayer
cs.LGmath.NAarXiv:2609.04910v12026
Application of higher-order structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite facesheets
Sundararajan Natarajan, Mohamed Haboussi, Ganapathi Manickam
math.NAarXiv:1403.1712v12014
Improving the Accuracy and Consistency of the Scalar Auxiliary Variable (SAV) Method with Relaxation
Maosheng Jiang, Zengyan Zhang, Jia Zhao
math.NAarXiv:2104.06620v12021
Nonlinear model reduction for transport-dominated problems
Jan S. Hesthaven, Benjamin Peherstorfer, Benjamin Unger
math.NAcs.LGmath.OCarXiv:2602.01397v12026
PRICE: A Systematic Study of LLM Adaptation Choices for Bitcoin Price Forecasting
Maryam Fakhari, Mehran Safayani
cs.LGcs.AImath.NAarXiv:2609.05235v12026
Low rank tensor recovery via iterative hard thresholding
Holger Rauhut, Reinhold Schneider, Zeljka Stojanac
cs.ITmath.NAmath.PRarXiv:1602.05217v12016
On the Random Batch Method for second order interacting particle systems
Shi Jin, Lei Li, Yiqun Sun
math.NAarXiv:2011.10778v12020
Stability and Convergence of a Second Order Mixed Finite Element Method for the Cahn-Hilliard Equation
Amanda E. Diegel, Cheng Wang, Steven M. Wise
math.NAarXiv:1411.5248v12014
From Consensus-Based Optimization to Evolution Strategies: Proof of Global Convergence
Massimo Fornasier, Hui Huang, Jona Klemenc +1
math.OCmath.NAarXiv:2602.11677v12026
Thermodynamically consistent physics-informed neural networks for hyperbolic systems
Ravi G. Patel, Indu Manickam, Nathaniel A. Trask +4
math.NAarXiv:2012.05343v12020
ADER-WENO Finite Volume Schemes with Space-Time Adaptive Mesh Refinement
Michael Dumbser, Olindo Zanotti, Arturo Hidalgo +1
math.NAastro-ph.IMphysics.comp-pharXiv:1212.3585v32012
An assessment of phase field fracture: crack initiation and growth
P. K. Kristensen, C. F. Niordson, E. Martínez-Pañeda
cs.CEmath.NAphysics.app-pharXiv:2103.05443v22021
Decoupled Diffusion Sampling for Inverse Problems on Function Spaces
Thomas Y. L. Lin, Jiachen Yao, Lufang Chiang +2
cs.LGmath.NAarXiv:2601.23280v32026
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations
Nick McGreivy, Ammar Hakim
math.NAcs.LGphysics.flu-dynarXiv:2407.07218v12024
An FFT-based Galerkin Method for Homogenization of Periodic Media
Jaroslav Vondřejc, Jan Zeman, Ivo Marek
math.NAcond-mat.mtrl-scimath.AParXiv:1311.0089v22013
Deflation techniques for finding distinct solutions of nonlinear partial differential equations
Patrick E. Farrell, Ásgeir Birkisson, Simon W. Funke
math.NAarXiv:1410.5620v22014
Breaking spaces and forms for the DPG method and applications including Maxwell equations
C. Carstensen, L. Demkowicz, J. Gopalakrishnan
math.NAarXiv:1507.05428v22015
Random Fourier Features for Kernel Ridge Regression: Approximation Bounds and Statistical Guarantees
Haim Avron, Michael Kapralov, Cameron Musco +3
cs.LGcs.DSmath.NAarXiv:1804.09893v22018
ALL-FEM: Agentic Large Language models Fine-tuned for Finite Element Methods
Rushikesh Deotale, Adithya Srinivasan, Yuan Tian +3
cs.CEcs.AIcs.LGarXiv:2603.21011v22026
A weighted L1-minimization approach for sparse polynomial chaos expansions
Ji Peng, Jerrad Hampton, Alireza Doostan
math.NAmath.AParXiv:1308.0624v12013
ConceFT: Concentration of Frequency and Time via a multitapered synchrosqueezed transform
Ingrid Daubechies, Yi Wang, Hau-tieng Wu
math.STmath.NAstat.AParXiv:1507.05366v12015
First Analysis of Local GD on Heterogeneous Data
Ahmed Khaled, Konstantin Mishchenko, Peter Richtárik
cs.LGcs.DCmath.NAarXiv:1909.04715v22019
The serendipity family of finite elements
Douglas N. Arnold, Gerard Awanou
math.NAarXiv:1101.0645v12011
Riemannian Metric and Geometric Mean for Positive Semidefinite Matrices of Fixed Rank
Silvere Bonnabel, Rodolphe Sepulchre
math.OCmath.NAarXiv:0807.4462v22008
Convergence analysis of Parametric Probabilistic Manifold Decomposition
Jiaming Guo, Dunhui Xiao
math.NAarXiv:2608.29105v12026
A Framework Integrating the Dynamic Stiffness Matrix with Physics-Informed Neural Networks for Solving Eigenvalue Problems and Analysing Dynamic Response
Yi An, Zhijiang Chen, Zhiqiang Feng +4
math.NAphysics.comp-pharXiv:2608.28683v12026
A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods
Martin J. Gander, Hui Zhang
math.NAarXiv:1610.02270v32016
Gappy probabilistic manifold decomposition for nonlinear field reconstruction
Qihan Feng, Jiaming Guo, Jiarun Meng +1
math.NAarXiv:2608.29014v12026
Positive Definite Tensors to Nonlinear Complementarity Problems
Maolin Che, Liqun Qi, Yimin Wei
math.NAarXiv:1501.02546v12015
Separable Nonnegative Matrix Factorization Using Powered Ratio-of-Norms Regularization
Matthew McCarver, Jing Qin
math.NAcs.LGmath.OCarXiv:2608.28799v12026
Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
Buyang Li, Weiwei Sun
math.NAarXiv:1208.4698v62012
From Microscopic Damage to Macroscopic Games: A Dimensionality Reduction of Stem Cell Homeostasis
Jiguang Yu, Louis Shuo Wang, Shihan Ban
math.APmath.NAarXiv:2603.12713v12026
Mesh-Uniform Power Stability of Two-Relaxation-Time Vector Lattice Boltzmann Schemes with Reversible Boundaries
Jin Zhao
math.NAarXiv:2608.30253v12026
On weak greedy algorithms
A. S. Spivak, V. N. Temlyakov
math.NAmath.FAarXiv:2604.26064v12026
Isotropic Gaussian random fields on the sphere: Regularity, fast simulation and stochastic partial differential equations
Annika Lang, Christoph Schwab
math.PRmath.NAarXiv:1305.1170v32013

math.NA

Linear and nonlinear solvers for variational phase-field models of brittle fracture

High-order Virtual Element Method on polyhedral meshes

Parallel Selective Algorithms for Big Data Optimization

Greedy Feature Selection for Subspace Clustering

The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation

Revisiting kinetic electrostatic electron non-linear (KEEN) waves in the presence of dynamical ions

A Complete Resolution of Forsythe's Conjecture for Restarted Conjugate Gradients

A simple shallow neural network for emulating the solution to singularly perturbed problems

A Generalized Scalar Auxiliary Variable Method for Structure-Preserving and Efficient Integration of Nonlinear port-Hamiltonian DAEs

Numerical experiments on the Hardy conjecture for the Gauss circle problem

Frequency-explicit convergence analysis of a multiscale finite element method for highly heterogeneous scattering problems

Energy-Consistent Splitting and Decomposition Approaches for Coupled port-Hamiltonian ODEs

A class of high-order discontinuous-Galerkin methods satisfying infinitely many entropy conditions with provable error estimates and strong convergence for general nonlinear conservation laws

A DEIM Induced CUR Factorization

Adaptively Compressed Exchange Operator

A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations

Hessian Schatten-Norm Regularization for Linear Inverse Problems

A Hierarchical Multilevel Markov Chain Monte Carlo Algorithm with Applications to Uncertainty Quantification in Subsurface Flow

Convergence and acceleration of a nonlinear fixed-point iteration for computing the Fitness Centrality of general graphs

Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients

Shallow neural network approximation in mixed Sobolev spaces

Pretrain Finite Element Method: A Pretraining and Warm-start Framework for PDEs via Physics-Informed Neural Operators

Improving Flow Matching by Aligning Flow Divergence

Randomized Block Kaczmarz Method with Projection for Solving Least Squares

Nonconvex notions of regularity and convergence of fundamental algorithms for feasibility problems

Fast Gauss Sums via Flash Attention

Application of higher-order structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite facesheets

Improving the Accuracy and Consistency of the Scalar Auxiliary Variable (SAV) Method with Relaxation

Nonlinear model reduction for transport-dominated problems

PRICE: A Systematic Study of LLM Adaptation Choices for Bitcoin Price Forecasting

Low rank tensor recovery via iterative hard thresholding

On the Random Batch Method for second order interacting particle systems

Stability and Convergence of a Second Order Mixed Finite Element Method for the Cahn-Hilliard Equation

From Consensus-Based Optimization to Evolution Strategies: Proof of Global Convergence

Thermodynamically consistent physics-informed neural networks for hyperbolic systems

ADER-WENO Finite Volume Schemes with Space-Time Adaptive Mesh Refinement

An assessment of phase field fracture: crack initiation and growth

Decoupled Diffusion Sampling for Inverse Problems on Function Spaces

Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations

An FFT-based Galerkin Method for Homogenization of Periodic Media

Deflation techniques for finding distinct solutions of nonlinear partial differential equations

Breaking spaces and forms for the DPG method and applications including Maxwell equations

Random Fourier Features for Kernel Ridge Regression: Approximation Bounds and Statistical Guarantees

ALL-FEM: Agentic Large Language models Fine-tuned for Finite Element Methods

A weighted L1-minimization approach for sparse polynomial chaos expansions

ConceFT: Concentration of Frequency and Time via a multitapered synchrosqueezed transform

First Analysis of Local GD on Heterogeneous Data

The serendipity family of finite elements

Riemannian Metric and Geometric Mean for Positive Semidefinite Matrices of Fixed Rank

Convergence analysis of Parametric Probabilistic Manifold Decomposition

A Framework Integrating the Dynamic Stiffness Matrix with Physics-Informed Neural Networks for Solving Eigenvalue Problems and Analysing Dynamic Response

A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods

Gappy probabilistic manifold decomposition for nonlinear field reconstruction

Positive Definite Tensors to Nonlinear Complementarity Problems

Separable Nonnegative Matrix Factorization Using Powered Ratio-of-Norms Regularization

Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations

From Microscopic Damage to Macroscopic Games: A Dimensionality Reduction of Stem Cell Homeostasis

Mesh-Uniform Power Stability of Two-Relaxation-Time Vector Lattice Boltzmann Schemes with Reversible Boundaries

On weak greedy algorithms

Isotropic Gaussian random fields on the sphere: Regularity, fast simulation and stochastic partial differential equations