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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61 to 120 of 953

Fast matrix-free evaluation of discontinuous Galerkin finite element operators
Martin Kronbichler, Katharina Kormann
cs.MSmath.NAarXiv:1711.03590v12017
Bridging Traditional and Machine Learning-based Algorithms for Solving PDEs: The Random Feature Method
Jingrun Chen, Xurong Chi, Weinan E +1
math.NAphysics.comp-pharXiv:2207.13380v12022
Approximation of Functions: Optimal Sampling and Complexity
David Krieg, Mario Ullrich
math.NAcs.ITarXiv:2602.02066v22026
Convex Tensor Decomposition via Structured Schatten Norm Regularization
Ryota Tomioka, Taiji Suzuki
stat.MLcs.LGmath.NAarXiv:1303.6370v12013
Numerical simulation of spray coalescence in an eulerian framework : direct quadrature method of moments and multi-fluid method
Rodney O. Fox, Frédérique Laurent, Marc Massot
math.NAphysics.class-pharXiv:0706.3781v12007
Sparse and Unique Nonnegative Matrix Factorization Through Data Preprocessing
Nicolas Gillis
stat.MLmath.NAmath.OCarXiv:1204.2436v12012
Global sensitivity metrics from active subspaces
Paul G. Constantine, Paul Diaz
math.NAarXiv:1510.04361v22015
Generalized Canonical Polyadic Tensor Decomposition
David Hong, Tamara G. Kolda, Jed A. Duersch
math.NAcs.LGarXiv:1808.07452v22018
Adaptive $h$-refinement for reduced-order models
Kevin Carlberg
math.NAarXiv:1404.0442v32014
Exploiting Active Subspaces to Quantify Uncertainty in the Numerical Simulation of the HyShot II Scramjet
Paul Constantine, Michael Emory, Johan Larsson +1
math.NAphysics.flu-dynarXiv:1408.6269v22014
Guarantees of Riemannian Optimization for Low Rank Matrix Recovery
Ke Wei, Jian-Feng Cai, Tony F. Chan +1
math.NAarXiv:1511.01562v82015
Progressive construction of a parametric reduced-order model for PDE-constrained optimization
Matthew J. Zahr, Charbel Farhat
math.OCmath.NAarXiv:1407.7618v12014
The aggregated unfitted finite element method for elliptic problems
Santiago Badia, Francesc Verdugo, Alberto F. Martín
cs.CEmath.NAarXiv:1709.09122v12017
Condition number analysis and preconditioning of the finite cell method
F. de Prenter, C. V. Verhoosel, G. J. van Zwieten +1
math.NAarXiv:1601.05129v22016
A Block Tensor Train Burer-Monteiro Framework for Low-Rank Quantum State Tomography
Shakir Showkat Sofi, Charlotte Vermeylen, Fatemeh Mohammadi +1
quant-phcs.LGeess.SParXiv:2609.09457v12026
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion
Tony Lelièvre, Francis Nier, Grigorios A. Pavliotis
math.NAarXiv:1212.0876v12012
Rethinking floating point for deep learning
Jeff Johnson
math.NAcs.LGarXiv:1811.01721v12018
CAST: Canonical Approximate Schur Tree for Approximate Cholesky on Graphs
Meher Chaitanya, Cameron Musco, Aristides Gionis
stat.MLcs.LGmath.NAarXiv:2609.09255v12026
An analysis of the practical DPG method
Jay Gopalakrishnan, Weifeng Qiu
math.NAarXiv:1107.4293v22011
Fast Isogeometric Boundary Element Method based on Independent Field Approximation
Benjamin Marussig, Jürgen Zechner, Gernot Beer +1
math.NAarXiv:1406.0306v32014
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
Compressed Sensing with Cross Validation
Rachel Ward
math.NAarXiv:0803.1845v22008
Composing Scalable Nonlinear Algebraic Solvers
Peter R. Brune, Matthew G. Knepley, Barry F. Smith +1
math.NAcs.MSarXiv:1607.04254v12016
A practical DIRECT-type algorithm for medium-scale black-box global optimization
Linas Stripinis, Remigijus Paulavičius
cs.LGmath.NAarXiv:2609.09796v12026
POD/DEIM Nonlinear model order reduction of an ADI implicit shallow water equations model
Razvan Stefanescu, Ionel Michael Navon
physics.comp-phmath.NAarXiv:1211.2521v12012
All Real Eigenvalues of Symmetric Tensors
Chun-Feng Cui, Yu-Hong Dai, Jiawang Nie
math.NAarXiv:1403.3720v32014
An Efficient Parallel Solver for SDD Linear Systems
Richard Peng, Daniel A. Spielman
math.NAcs.DSarXiv:1311.3286v12013
A meshless based method for solution of integral equations: Improving the error analysis
Davoud Mirzaei
math.NAarXiv:1508.07539v12015
Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations
Boris Andreianov, Mostafa Bendahmane, Kenneth H. Karlsen
math.APmath.NAarXiv:0901.0816v12009
A quasi-Newton proximal splitting method
Stephen Becker, M. Jalal Fadili
math.OCmath.NAarXiv:1206.1156v22012
A first-order primal-dual algorithm with linesearch
Yura Malitsky, Thomas Pock
math.OCmath.NAarXiv:1608.08883v22016
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
Data-driven discovery of PDEs in complex datasets
Jens Berg, Kaj Nyström
stat.MLcs.LGmath.NAarXiv:1808.10788v12018
Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions
Yulei Liao, Pingbing Ming
math.NAarXiv:1912.01309v22019
Weak Galerkin Methods for Second Order Elliptic Interface Problems
Lin Mu, Junping Wang, Guowei Wei +2
math.NAarXiv:1201.6438v22012
A Grassmann Manifold Handbook: Basic Geometry and Computational Aspects
Thomas Bendokat, Ralf Zimmermann, P. -A. Absil
math.NAmath.DGarXiv:2011.13699v32020
Augmented Physics-Informed Neural Networks (APINNs): A gating network-based soft domain decomposition methodology
Zheyuan Hu, Ameya D. Jagtap, George Em Karniadakis +1
cs.LGmath.DSmath.NAarXiv:2211.08939v32022
A Two-Stage Fourth Order Time-Accurate Discretization for Lax-Wendroff Type Flow Solvers. I. Hyperbolic Conservation Laws
Jiequan Li, Zhifang Du
math.NAarXiv:1512.03664v12015
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
Support Discovery With Iteratively Reweighted Least Squares for Fixed-Charge Network Flow
Sindura Saraswathi, Christian Kümmerle
math.OCcs.AIcs.LGarXiv:2609.09295v12026
On The Convergence of Gradient Descent for Finding the Riemannian Center of Mass
Bijan Afsari, Roberto Tron, René Vidal
math.DGcs.CVmath.NAarXiv:1201.0925v12011
Improved matrix algorithms via the Subsampled Randomized Hadamard Transform
Christos Boutsidis, Alex Gittens
cs.DSmath.NAarXiv:1204.0062v42012
An Analysis of the Rayleigh-Stokes problem for a Generalized Second-Grade Fluid
Emilia Bazhlekova, Bangti Jin, Raytcho Lazarov +1
math.NAarXiv:1404.2953v22014
Optimal low-rank approximations of Bayesian linear inverse problems
Alessio Spantini, Antti Solonen, Tiangang Cui +3
math.NAstat.COstat.MEarXiv:1407.3463v22014
Variational formulation of problems involving fractional order differential operators
Bangti Jin, Raytcho Lazarov, Joseph Pasciak
math.NAmath.AParXiv:1307.4795v12013
A-optimal design of experiments for infinite-dimensional Bayesian linear inverse problems with regularized $\ell_0$-sparsification
Alen Alexanderian, Noemi Petra, Georg Stadler +1
stat.COmath.NAmath.OCarXiv:1308.4084v22013
SwitchNet: a neural network model for forward and inverse scattering problems
Yuehaw Khoo, Lexing Ying
math.NAcs.LGarXiv:1810.09675v12018
Explicit Quantum Circuits for Block Encodings of Certain Sparse Matrices
Daan Camps, Lin Lin, Roel Van Beeumen +1
quant-phmath.NAmath.QAarXiv:2203.10236v42022
Deep splitting method for parabolic PDEs
Christian Beck, Sebastian Becker, Patrick Cheridito +2
math.NAcs.LGmath.PRarXiv:1907.03452v22019
Solving for high dimensional committor functions using artificial neural networks
Yuehaw Khoo, Jianfeng Lu, Lexing Ying
cs.LGmath.NAstat.MLarXiv:1802.10275v12018
Second-Order Optimization for Non-Convex Machine Learning: An Empirical Study
Peng Xu, Farbod Roosta-Khorasani, Michael W. Mahoney
math.OCcs.LGmath.NAarXiv:1708.07827v22017
Learning Neural PDE Solvers with Convergence Guarantees
Jun-Ting Hsieh, Shengjia Zhao, Stephan Eismann +2
math.NAstat.COstat.MLarXiv:1906.01200v12019
MahNMF: Manhattan Non-negative Matrix Factorization
Naiyang Guan, Dacheng Tao, Zhigang Luo +1
stat.MLcs.LGmath.NAarXiv:1207.3438v12012
PFNN: A Penalty-Free Neural Network Method for Solving a Class of Second-Order Boundary-Value Problems on Complex Geometries
Hailong Sheng, Chao Yang
math.NAcs.LGarXiv:2004.06490v22020
Simulation of stochastic reaction-diffusion processes on unstructured meshes
Stefan Engblom, Lars Ferm, Andreas Hellander +1
math.NAarXiv:0804.3288v12008
Decay properties of spectral projectors with applications to electronic structure
Michele Benzi, Paola Boito, Nader Razouk
math.NAcond-mat.mtrl-sciphysics.chem-pharXiv:1203.3953v12012
Linear combination of Hamiltonian simulation for nonunitary dynamics with optimal state preparation cost
Dong An, Jin-Peng Liu, Lin Lin
quant-phmath.NAarXiv:2303.01029v22023
Near-term quantum algorithms for linear systems of equations
Hsin-Yuan Huang, Kishor Bharti, Patrick Rebentrost
quant-phmath.NAarXiv:1909.07344v22019
A Multigrid Method for CutFEM and its Convergence
Michal Wichrowski
math.NAarXiv:2609.04067v12026
Time-Delay Observables for Koopman: Theory and Applications
Mason Kamb, Eurika Kaiser, Steven L. Brunton +1
math.NAmath.DSarXiv:1810.01479v22018

math.NA

Fast matrix-free evaluation of discontinuous Galerkin finite element operators

Bridging Traditional and Machine Learning-based Algorithms for Solving PDEs: The Random Feature Method

Approximation of Functions: Optimal Sampling and Complexity

Convex Tensor Decomposition via Structured Schatten Norm Regularization

Numerical simulation of spray coalescence in an eulerian framework : direct quadrature method of moments and multi-fluid method

Sparse and Unique Nonnegative Matrix Factorization Through Data Preprocessing

Global sensitivity metrics from active subspaces

Generalized Canonical Polyadic Tensor Decomposition

Adaptive $h$-refinement for reduced-order models

Exploiting Active Subspaces to Quantify Uncertainty in the Numerical Simulation of the HyShot II Scramjet

Guarantees of Riemannian Optimization for Low Rank Matrix Recovery

Progressive construction of a parametric reduced-order model for PDE-constrained optimization

The aggregated unfitted finite element method for elliptic problems

Condition number analysis and preconditioning of the finite cell method

A Block Tensor Train Burer-Monteiro Framework for Low-Rank Quantum State Tomography

Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion

Rethinking floating point for deep learning

CAST: Canonical Approximate Schur Tree for Approximate Cholesky on Graphs

An analysis of the practical DPG method

Fast Isogeometric Boundary Element Method based on Independent Field Approximation

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

Compressed Sensing with Cross Validation

Composing Scalable Nonlinear Algebraic Solvers

A practical DIRECT-type algorithm for medium-scale black-box global optimization

POD/DEIM Nonlinear model order reduction of an ADI implicit shallow water equations model

All Real Eigenvalues of Symmetric Tensors

An Efficient Parallel Solver for SDD Linear Systems

A meshless based method for solution of integral equations: Improving the error analysis

Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations

A quasi-Newton proximal splitting method

A first-order primal-dual algorithm with linesearch

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

Data-driven discovery of PDEs in complex datasets

Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions

Weak Galerkin Methods for Second Order Elliptic Interface Problems

A Grassmann Manifold Handbook: Basic Geometry and Computational Aspects

Augmented Physics-Informed Neural Networks (APINNs): A gating network-based soft domain decomposition methodology

A Two-Stage Fourth Order Time-Accurate Discretization for Lax-Wendroff Type Flow Solvers. I. Hyperbolic Conservation Laws

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

Support Discovery With Iteratively Reweighted Least Squares for Fixed-Charge Network Flow

On The Convergence of Gradient Descent for Finding the Riemannian Center of Mass

Improved matrix algorithms via the Subsampled Randomized Hadamard Transform

An Analysis of the Rayleigh-Stokes problem for a Generalized Second-Grade Fluid

Optimal low-rank approximations of Bayesian linear inverse problems

Variational formulation of problems involving fractional order differential operators

A-optimal design of experiments for infinite-dimensional Bayesian linear inverse problems with regularized $\ell_0$-sparsification

SwitchNet: a neural network model for forward and inverse scattering problems

Explicit Quantum Circuits for Block Encodings of Certain Sparse Matrices

Deep splitting method for parabolic PDEs

Solving for high dimensional committor functions using artificial neural networks

Second-Order Optimization for Non-Convex Machine Learning: An Empirical Study

Learning Neural PDE Solvers with Convergence Guarantees

MahNMF: Manhattan Non-negative Matrix Factorization

PFNN: A Penalty-Free Neural Network Method for Solving a Class of Second-Order Boundary-Value Problems on Complex Geometries

Simulation of stochastic reaction-diffusion processes on unstructured meshes

Decay properties of spectral projectors with applications to electronic structure

Linear combination of Hamiltonian simulation for nonunitary dynamics with optimal state preparation cost

Near-term quantum algorithms for linear systems of equations

A Multigrid Method for CutFEM and its Convergence

Time-Delay Observables for Koopman: Theory and Applications