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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1,141 to 1,200 of 1,857

Analysis of Floating-Point Matrix Multiplication Computed via Integer Arithmetic
Ahmad Abdelfattah, Jack Dongarra, Massimiliano Fasi +2
math.NAcs.MScs.NAarXiv:2506.11277v32025
Unified Gas-kinetic Wave-Particle methods I: Continuum and Rarefied Gas Flow
Chang Liu, Yajun Zhu, Kun Xu
math.NAcs.NAarXiv:1811.07141v12018
Fourier neural operator for real-time simulation of 3D dynamic urban microclimate
Wenhui Peng, Shaoxiang Qin, Senwen Yang +3
cs.LGcs.CEcs.NAarXiv:2308.03985v22023
CAN-PINN: A Fast Physics-Informed Neural Network Based on Coupled-Automatic-Numerical Differentiation Method
Pao-Hsiung Chiu, Jian Cheng Wong, Chinchun Ooi +2
cs.LGcs.CEmath.NAarXiv:2110.15832v22021
On the limiting behavior of parameter-dependent network centrality measures
Michele Benzi, Christine Klymko
math.NAcs.SIphysics.soc-pharXiv:1312.6722v72013
Optimally weighted loss functions for solving PDEs with Neural Networks
Remco van der Meer, Cornelis Oosterlee, Anastasia Borovykh
math.NAarXiv:2002.06269v42020
A Solution Accurate, Efficient and Stable Unsplit Staggered Mesh Scheme for Three Dimensional Magnetohydrodynamics
Dongwook Lee
physics.comp-phastro-ph.HEcs.NAarXiv:1303.6988v12013
A note on the Joint Spectral Radius
Antonio Cicone
math.NAarXiv:1502.01506v12015
Numerical Approximation of Incompressible Navier-Stokes Equations Based on an Auxiliary Energy Variable
Lianlei Lin, Suchuan Dong
physics.flu-dynmath.NAphysics.comp-pharXiv:1804.10859v12018
Deep learning of free boundary and Stefan problems
Sifan Wang, Paris Perdikaris
math.NAcs.LGcs.NAarXiv:2006.05311v12020
Automating the Finite Element Method
Anders Logg
math.NAcs.NAarXiv:1112.0433v12011
Implementing FFTs in Practice
Steven G. Johnson, Matteo Frigo
math.NAarXiv:2602.23525v12026
Quantum linear system solver based on time-optimal adiabatic quantum computing and quantum approximate optimization algorithm
Dong An, Lin Lin
quant-phmath.NAarXiv:1909.05500v32019
Compact Finite Difference Approximations for Space Fractional Diffusion Equations
Han Zhou, WenYi Tian, Weihua Deng
math.NAarXiv:1204.4870v12012
Paved with Good Intentions: Analysis of a Randomized Block Kaczmarz Method
Deanna Needell, Joel A. Tropp
math.NAarXiv:1208.3805v32012
Optimal asymptotic bounds for spherical designs
Andriy Bondarenko, Danylo Radchenko, Maryna Viazovska
math.MGmath.COmath.NAarXiv:1009.4407v32010
The Augmented Lagrange Multiplier Method for Exact Recovery of Corrupted Low-Rank Matrices
Zhouchen Lin, Minming Chen, Yi Ma
math.OCeess.SYmath.NAarXiv:1009.5055v32010
Trapezoidal methods for fractional differential equations: theoretical and computational aspects
Roberto Garrappa
math.NAarXiv:1912.09878v12019
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
Convergence Analysis and Error Estimates for a Second Order Accurate Finite Element Method for the Cahn-Hilliard-Navier-Stokes System
Amanda E. Diegel, Cheng Wang, Xiaoming Wang +1
math.NAarXiv:1606.02668v12016
Stiff Neural Ordinary Differential Equations
Suyong Kim, Weiqi Ji, Sili Deng +2
math.NAcs.LGarXiv:2103.15341v32021
Non-square matrix sensing without spurious local minima via the Burer-Monteiro approach
Dohyung Park, Anastasios Kyrillidis, Constantine Caramanis +1
stat.MLcs.ITcs.LGarXiv:1609.03240v22016
A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
Daozhi Han, Xiaoming Wang
math.NAarXiv:1407.7048v12014
Phase field fracture modelling using quasi-Newton methods and a new adaptive step scheme
Philip K. Kristensen, Emilio Martínez-Pañeda
math.NAcond-mat.mtrl-sciarXiv:1912.08620v12019
The Old and the New: Can Physics-Informed Deep-Learning Replace Traditional Linear Solvers?
Stefano Markidis
math.NAcs.DCphysics.comp-pharXiv:2103.09655v22021
Localization of Elliptic Multiscale Problems
Axel Malqvist, Daniel Peterseim
math.NAarXiv:1110.0692v42011
The Galerkin Finite Element Method for A Multi-term Time-Fractional Diffusion equation
Bangti Jin, Raytcho Lazarov, Yikan Liu +1
math.NAarXiv:1401.8049v12014
Composing Scalable Nonlinear Algebraic Solvers
Peter R. Brune, Matthew G. Knepley, Barry F. Smith +1
math.NAcs.MSarXiv:1607.04254v12016
Can stable and accurate neural networks be computed? -- On the barriers of deep learning and Smale's 18th problem
Matthew J. Colbrook, Vegard Antun, Anders C. Hansen
cs.LGcs.CVcs.NEarXiv:2101.08286v22021
LSMR: An iterative algorithm for sparse least-squares problems
David Fong, Michael Saunders
cs.MSmath.NAarXiv:1006.0758v22010
Randomized Numerical Linear Algebra: Foundations & Algorithms
Per-Gunnar Martinsson, Joel Tropp
math.NAarXiv:2002.01387v32020
PyHessian: Neural Networks Through the Lens of the Hessian
Zhewei Yao, Amir Gholami, Kurt Keutzer +1
cs.LGmath.NAarXiv:1912.07145v32019
On conservation laws of Navier-Stokes Galerkin discretizations
Sergey Charnyi, Timo Heister, Maxim A. Olshanskii +1
math.NAarXiv:1605.09763v22016
MINRES-QLP: a Krylov subspace method for indefinite or singular symmetric systems
Sou-Cheng T. Choi, Christopher C. Paige, Michael A. Saunders
math.NAcs.CEcs.NAarXiv:1003.4042v32010
In-Context Operator Learning with Data Prompts for Differential Equation Problems
Liu Yang, Siting Liu, Tingwei Meng +1
cs.LGcs.NAmath.NAarXiv:2304.07993v32023
Boosting of Image Denoising Algorithms
Yaniv Romano, Michael Elad
cs.CVmath.NAarXiv:1502.06220v22015
The exponential scalar auxiliary variable (E-SAV) approach for phase field models and its explicit computing
Zhengguang Liu, Xiaoli Li
math.NAmath.AParXiv:1912.09263v22019
Numerical analysis of nonlinear eigenvalue problems
Eric Cancès, Rachida Chakir, Yvon Maday
math.NAarXiv:0905.1645v22009
A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model
Philippe Bonneton, Florent Chazel, David Lannes +2
math.NAphysics.ao-pharXiv:1005.1586v12010
A Method for Representing Periodic Functions and Enforcing Exactly Periodic Boundary Conditions with Deep Neural Networks
Suchuan Dong, Naxian Ni
physics.comp-phcs.LGmath.NAarXiv:2007.07442v12020
A new class of efficient and robust energy stable schemes for gradient flows
Jie Shen, Jie Xu, Jiang Yang
math.NAarXiv:1710.01331v12017
Super-Resolution from Noisy Data
Emmanuel Candes, Carlos Fernandez-Granda
cs.ITmath.NAarXiv:1211.0290v32012
PetIGA: A Framework for High-Performance Isogeometric Analysis
Lisandro Dalcin, Nathan Collier, Philippe Vignal +2
cs.MSmath.NAarXiv:1305.4452v32013
Deep learning of dynamics and signal-noise decomposition with time-stepping constraints
Samuel H. Rudy, J. Nathan Kutz, Steven L. Brunton
math.NAarXiv:1808.02578v22018
A phase field model for elastic-gradient-plastic solids undergoing hydrogen embrittlement
Philip K. Kristensen, Christian F. Niordson, Emilio Martínez-Pañeda
cond-mat.mtrl-scics.CEmath.NAarXiv:2007.07093v12020
Convergence of approximate solutions of conservation laws
Sebastian Noelle, Michael Westdickenberg
math.NAarXiv:1502.00798v12015
First Analysis of Local GD on Heterogeneous Data
Ahmed Khaled, Konstantin Mishchenko, Peter Richtárik
cs.LGcs.DCmath.NAarXiv:1909.04715v22019
Convergence results for projected line-search methods on varieties of low-rank matrices via \L{}ojasiewicz inequality
Reinhold Schneider, André Uschmajew
math.OCcs.LGcs.NAarXiv:1402.5284v32014
An Immersed Interface Method for Parabolic Interface Problems with Nonlinear Jump Conditions
So-Hsiang Chou, Patrick Nyadjo Fonga
math.NAarXiv:2608.30062v12026
An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
Kelong Cheng, Wenqiang Feng, Cheng Wang +1
math.NAarXiv:1712.06210v12017
When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization?
Zheyuan Hu, Ameya D. Jagtap, George Em Karniadakis +1
cs.LGcs.NAmath.DSarXiv:2109.09444v72021
PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
Emmanuel J. Candes, Thomas Strohmer, Vladislav Voroninski
cs.ITmath.NAarXiv:1109.4499v12011
Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes
Qiang Du, Lili Ju, Xiao Li +1
math.NAarXiv:2005.11465v12020
A Second-Order Method for Locating Critical Points of Prescribed Index on Energy Landscapes
Qiang Du, Baoming Shi
math.NAcs.NAarXiv:2609.11038v12026
Correction of high-order BDF convolution quadrature for fractional evolution equations
Bangti Jin, Buyang Li, Zhi Zhou
math.NAarXiv:1703.08808v12017
Data-Driven Model Reduction for the Bayesian Solution of Inverse Problems
Tiangang Cui, Youssef M. Marzouk, Karen E. Willcox
stat.COmath.NAstat.MEarXiv:1403.4290v22014
Low regularity exponential-type integrators for semilinear Schr\"odinger equations
Alexander Ostermann, Katharina Schratz
math.NAcs.NAarXiv:1603.07746v22016
Recovering low-rank matrices from few coefficients in any basis
David Gross
cs.ITmath.NAquant-pharXiv:0910.1879v52009
Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations
Maziar Raissi, Paris Perdikaris, George Em Karniadakis
cs.AIcs.LGmath.AParXiv:1711.10566v12017
On Shapley value for measuring importance of dependent inputs
Art B. Owen, Clémentine Prieur
math.STmath.NAarXiv:1610.02080v32016

math.NA

Analysis of Floating-Point Matrix Multiplication Computed via Integer Arithmetic

Unified Gas-kinetic Wave-Particle methods I: Continuum and Rarefied Gas Flow

Fourier neural operator for real-time simulation of 3D dynamic urban microclimate

CAN-PINN: A Fast Physics-Informed Neural Network Based on Coupled-Automatic-Numerical Differentiation Method

On the limiting behavior of parameter-dependent network centrality measures

Optimally weighted loss functions for solving PDEs with Neural Networks

A Solution Accurate, Efficient and Stable Unsplit Staggered Mesh Scheme for Three Dimensional Magnetohydrodynamics

A note on the Joint Spectral Radius

Numerical Approximation of Incompressible Navier-Stokes Equations Based on an Auxiliary Energy Variable

Deep learning of free boundary and Stefan problems

Automating the Finite Element Method

Implementing FFTs in Practice

Quantum linear system solver based on time-optimal adiabatic quantum computing and quantum approximate optimization algorithm

Compact Finite Difference Approximations for Space Fractional Diffusion Equations

Paved with Good Intentions: Analysis of a Randomized Block Kaczmarz Method

Optimal asymptotic bounds for spherical designs

The Augmented Lagrange Multiplier Method for Exact Recovery of Corrupted Low-Rank Matrices

Trapezoidal methods for fractional differential equations: theoretical and computational aspects

An assessment of phase field fracture: crack initiation and growth

Convergence Analysis and Error Estimates for a Second Order Accurate Finite Element Method for the Cahn-Hilliard-Navier-Stokes System

Stiff Neural Ordinary Differential Equations

Non-square matrix sensing without spurious local minima via the Burer-Monteiro approach

A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation

Phase field fracture modelling using quasi-Newton methods and a new adaptive step scheme

The Old and the New: Can Physics-Informed Deep-Learning Replace Traditional Linear Solvers?

Localization of Elliptic Multiscale Problems

The Galerkin Finite Element Method for A Multi-term Time-Fractional Diffusion equation

Composing Scalable Nonlinear Algebraic Solvers

Can stable and accurate neural networks be computed? -- On the barriers of deep learning and Smale's 18th problem

LSMR: An iterative algorithm for sparse least-squares problems

Randomized Numerical Linear Algebra: Foundations & Algorithms

PyHessian: Neural Networks Through the Lens of the Hessian

On conservation laws of Navier-Stokes Galerkin discretizations

MINRES-QLP: a Krylov subspace method for indefinite or singular symmetric systems

In-Context Operator Learning with Data Prompts for Differential Equation Problems

Boosting of Image Denoising Algorithms

The exponential scalar auxiliary variable (E-SAV) approach for phase field models and its explicit computing

Numerical analysis of nonlinear eigenvalue problems

A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model

A Method for Representing Periodic Functions and Enforcing Exactly Periodic Boundary Conditions with Deep Neural Networks

A new class of efficient and robust energy stable schemes for gradient flows

Super-Resolution from Noisy Data

PetIGA: A Framework for High-Performance Isogeometric Analysis

Deep learning of dynamics and signal-noise decomposition with time-stepping constraints

A phase field model for elastic-gradient-plastic solids undergoing hydrogen embrittlement

Convergence of approximate solutions of conservation laws

First Analysis of Local GD on Heterogeneous Data

Convergence results for projected line-search methods on varieties of low-rank matrices via \L{}ojasiewicz inequality

An Immersed Interface Method for Parabolic Interface Problems with Nonlinear Jump Conditions

An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation

When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization?

PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming

Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes

A Second-Order Method for Locating Critical Points of Prescribed Index on Energy Landscapes

Correction of high-order BDF convolution quadrature for fractional evolution equations

Data-Driven Model Reduction for the Bayesian Solution of Inverse Problems

Low regularity exponential-type integrators for semilinear Schr\"odinger equations

Recovering low-rank matrices from few coefficients in any basis

Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations

On Shapley value for measuring importance of dependent inputs