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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1,261 to 1,320 of 1,857

An arbitrarily high-order accurate and locally energy/entropy-stable space-time method for a class of nonlinear wave systems
Michael Dumbser, Ilaria Perugia, Enrico Zampa
math.NAcs.NAarXiv:2610.09797v12026
An inverse spectral problem for the wave equation with a varying Robin parameter at the boundary
Antti Hannukainen, Petr Kulikov, Matti Lassas +1
math.APmath.NAmath.OCarXiv:2610.13629v12026
Alternating Direction Algorithms for Constrained Sparse Regression: Application to Hyperspectral Unmixing
José M. Bioucas-Dias, Mário A. T. Figueiredo
math.OCmath.NAarXiv:1002.4527v22010
Primal-dual methods and acceleration for Morozov and equality constrained regularization
Diana-Elena Mirciu, Martin Benning, Elena Resmerita
math.NAarXiv:2608.27106v12026
Model Order Reduction for Parametric Dissipative Quantum Systems
Bernard Haasdonk, Benjamin Stamm, Zhuoyao Zeng
math.NAcs.NAarXiv:2610.12017v12026
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
Beyond Field Accuracy: Two-Axis Diagnosis of Inverse-PINN Parameter Error
Yifan Zhang, Qian Tao
cs.LGmath.NAarXiv:2608.15373v12026
Entropy-stable moving-wall boundary conditions for the ALE formulation of the compressible Navier-Stokes equations
Luca Galimberti, Roberto Nuca, Lisandro Dalcin +2
math.NAmath.AParXiv:2608.25146v12026
Tight Majorizations and Convergence Rates of Nuclear Norm Minimization IRLS
Christian Kümmerle, Tomas Masak, Dominik Stöger
cs.LGmath.NAmath.OCarXiv:2608.23765v12026
A Krylov subspace algorithm for evaluating the phi-functions appearing in exponential integrators
Jitse Niesen, Will M. Wright
math.NAarXiv:0907.4631v22009
A rapidly converging domain decomposition method for the Helmholtz equation
Christiaan C. Stolk
math.NAphysics.comp-pharXiv:1208.3956v22012
Machine Learning of Linear Differential Equations using Gaussian Processes
Maziar Raissi, George Em. Karniadakis
cs.LGmath.NAstat.MLarXiv:1701.02440v12017
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
New error bounds for deep networks using sparse grids
Hadrien Montanelli, Qiang Du
math.NAcs.NAarXiv:1712.08688v32017
Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients
Martin Hutzenthaler, Arnulf Jentzen, Peter E. Kloeden
math.NAmath.PRarXiv:0905.0273v32009
On the formulation of fractional Adams-Bashforth method with Atangana-Baleanu-Caputo derivative to model chaotic problems
Kolade M. Owolabi, Abdon Atangana
math.NAcs.NAarXiv:2108.13808v22021
Algorithmic Theory of ODEs and Sampling from Well-conditioned Logconcave Densities
Yin Tat Lee, Zhao Song, Santosh S. Vempala
cs.DScs.LGcs.NAarXiv:1812.06243v12018
On discretely entropy conservative and entropy stable discontinuous Galerkin methods
Jesse Chan
math.NAarXiv:1708.01243v52017
RAPTOR: RAndom-projection Physics-informed Transient sOlveR
Petros Ellinas, Benjamin Vilmann, Spyros Chatzivasileiadis +1
eess.SYcs.LGcs.MSarXiv:2609.29714v12026
Tackling the Curse of Dimensionality with Physics-Informed Neural Networks
Zheyuan Hu, Khemraj Shukla, George Em Karniadakis +1
cs.LGcs.AImath.DSarXiv:2307.12306v62023
Variance components and generalized Sobol' indices
Art B. Owen
math.NAcs.NAstat.COarXiv:1205.1774v12012
A Neural-Network Approach for the Stability of Loosely-Coupled FSI Simulations in Hemodynamics
Francesca Renzi, Stefano Pagani, Paola F. Antonietti +1
math.NAcs.NAarXiv:2610.10943v12026
Scale-uniform inverse inequalities for scaled kernel spaces
Davoud Mirzaei
math.NAmath.APmath.FAarXiv:2608.26945v12026
Review of Summation-by-parts schemes for initial-boundary-value problems
Magnus Svärd, Jan Nordström
math.NAarXiv:1311.4984v12013
Terminating Zero-Balanced Hypergeometric Series Using Divided Differences
Fatma Zürnacı Yetiş
math.CAcs.NAmath.NAarXiv:2609.06168v12026
Optimally Tuned Iterative Reconstruction Algorithms for Compressed Sensing
Arian Maleki, David L. Donoho
math.NAcs.ITcs.MSarXiv:0909.0777v12009
Stiff Norm Estimates for Variable-Stepsize Peer Two-Step Methods
Jens Lang, Bernhard A. Schmitt
math.NAarXiv:2608.26913v12026
Waveguiding in systems of high contrast resonators: Theory and fast computations
Habib Ammari, Bowen Li, Borui Miao +2
math.NAarXiv:2608.26906v12026
Flexpoint: An Adaptive Numerical Format for Efficient Training of Deep Neural Networks
Urs Köster, Tristan J. Webb, Xin Wang +11
cs.LGmath.NAstat.MLarXiv:1711.02213v22017
Spherical Fourier Neural Operators: Learning Stable Dynamics on the Sphere
Boris Bonev, Thorsten Kurth, Christian Hundt +4
cs.LGmath.NAphysics.ao-pharXiv:2306.03838v12023
An Iterative Wavelet Threshold for Signal Denoising
F. M. Bayer, A. J. Kozakevicius, R. J. Cintra
stat.MEcs.NAeess.SParXiv:2307.10509v12023
Annular liquid jets: exact constraint absorption and finite-time loss of transversality
Francisco R. Villatoro
cs.CEmath.NAarXiv:2609.05457v12026
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
Scalable Gradients for Stochastic Differential Equations
Xuechen Li, Ting-Kam Leonard Wong, Ricky T. Q. Chen +1
cs.LGmath.NAstat.MLarXiv:2001.01328v62020
Time-Fractional Allen-Cahn Equations: Analysis and Numerical Methods
Qiang Du, Jiang Yang, Zhi Zhou
math.NAcs.NAarXiv:1906.06584v12019
Efficient estimation of eigenvalue counts in an interval
Edoardo Di Napoli, Eric Polizzi, Yousef Saad
math.NAarXiv:1308.4275v22013
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
IAS15: A fast, adaptive, high-order integrator for gravitational dynamics, accurate to machine precision over a billion orbits
Hanno Rein, David S. Spiegel
astro-ph.EPastro-ph.IMastro-ph.SRarXiv:1409.4779v22014
Fixed-Rank Representation for Unsupervised Visual Learning
Risheng Liu, Zhouchen Lin, Fernando De la Torre +1
cs.CVmath.NAarXiv:1203.2210v22012
Sparse Pseudospectral Approximation Method
Paul G. Constantine, Michael S. Eldred, Eric T. Phipps
math.NAarXiv:1109.2936v22011
Large Growth Happens: Gaussian Elimination with Partial Pivoting on Random Matrices
Daniel A. Spielman, Xifan Yu
math.NAcs.DScs.NAarXiv:2610.08701v12026
On a maximum principle in discretization with spherical harmonics
Arnold Reusken
math.NAarXiv:2610.13540v12026
Adaptive Multiresolution Diffusion Operators: A Variational Theory on Evolving Multiresolution Spaces
Christian Tantardini, Stig Rune Jensen, Roberto Di Remigio Eikås +1
math.NAcs.NAarXiv:2610.01809v12026
Improving CUR Matrix Decomposition and the Nyström Approximation via Adaptive Sampling
Shusen Wang, Zhihua Zhang
cs.LGmath.NAarXiv:1303.4207v72013
Updating and Downdating the Recurrences of Discrete Multiple Orthogonal Polynomials on the Real Line
Amin Faghih, Marc Van Barel, Raf Vandebril
math.NAarXiv:2608.25758v12026
A Stochastic PCA and SVD Algorithm with an Exponential Convergence Rate
Ohad Shamir
cs.LGmath.NAmath.OCarXiv:1409.2848v52014
Crouzeix--Raviart--Marini realisation of computable a priori $L^2$-error bounds on anisotropic meshes
Hiroki Ishizaka
math.NAcs.NAarXiv:2609.06057v12026
On rate optimality for ill-posed inverse problems in econometrics
Xiaohong Chen, Markus Reiss
math.STcs.NAmath.NAarXiv:0709.2003v12007
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
Nechvile-Transformed Spacecraft Dynamics and Propellant Computation in the 3-Body Problem
Michael J. Dixon, Isaac M. Ross
math.OCeess.SYmath.NAarXiv:2608.29271v12026
Fast Gauss Sums via Flash Attention
Nicolaj Rux, Sebastian Neumayer
cs.LGmath.NAarXiv:2609.04910v12026
Explicit domain preserving numerical schemes for a class of stochastic differential equations
Charles-Edouard Bréhier, David Cohen
math.NAmath.PRarXiv:2608.25685v12026
Fast computation of high frequency Dirichlet eigenmodes via the spectral flow of the interior Neumann-to-Dirichlet map
Alex H. Barnett, Andrew Hassell
math.NAcs.NAarXiv:1112.5665v12011
Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling
Benjamin Peherstorfer
math.NAarXiv:1812.02094v22018
High-order quantum algorithm for solving linear differential equations
Dominic W. Berry
quant-phmath.NAarXiv:1010.2745v22010
Low-rank tensor completion: a Riemannian manifold preconditioning approach
Hiroyuki Kasai, Bamdev Mishra
cs.LGcs.NAmath.NAarXiv:1605.08257v12016
Score-Based Generative Data Assimilation for Integrating Aggregated Surveillance Data into Agent-Based Models in Epidemic Tracking
Siming Liang, Jacob Hauck, Minglei Yang +3
math.NAq-bio.QMarXiv:2609.01434v12026
Survey of multifidelity methods in uncertainty propagation, inference, and optimization
Benjamin Peherstorfer, Karen Willcox, Max Gunzburger
math.NAstat.COstat.MEarXiv:1806.10761v12018
Multi-scale Deep Neural Networks for Solving High Dimensional PDEs
Wei Cai, Zhi-Qin John Xu
cs.LGcs.NAmath.NAarXiv:1910.11710v12019
Nektar++: enhancing the capability and application of high-fidelity spectral/$hp$ element methods
David Moxey, Chris D. Cantwell, Yan Bao +14
cs.MSmath.NAphysics.flu-dynarXiv:1906.03489v22019

math.NA

An arbitrarily high-order accurate and locally energy/entropy-stable space-time method for a class of nonlinear wave systems

An inverse spectral problem for the wave equation with a varying Robin parameter at the boundary

Alternating Direction Algorithms for Constrained Sparse Regression: Application to Hyperspectral Unmixing

Primal-dual methods and acceleration for Morozov and equality constrained regularization

Model Order Reduction for Parametric Dissipative Quantum Systems

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

Beyond Field Accuracy: Two-Axis Diagnosis of Inverse-PINN Parameter Error

Entropy-stable moving-wall boundary conditions for the ALE formulation of the compressible Navier-Stokes equations

Tight Majorizations and Convergence Rates of Nuclear Norm Minimization IRLS

A Krylov subspace algorithm for evaluating the phi-functions appearing in exponential integrators

A rapidly converging domain decomposition method for the Helmholtz equation

Machine Learning of Linear Differential Equations using Gaussian Processes

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

New error bounds for deep networks using sparse grids

Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients

On the formulation of fractional Adams-Bashforth method with Atangana-Baleanu-Caputo derivative to model chaotic problems

Algorithmic Theory of ODEs and Sampling from Well-conditioned Logconcave Densities

On discretely entropy conservative and entropy stable discontinuous Galerkin methods

RAPTOR: RAndom-projection Physics-informed Transient sOlveR

Tackling the Curse of Dimensionality with Physics-Informed Neural Networks

Variance components and generalized Sobol' indices

A Neural-Network Approach for the Stability of Loosely-Coupled FSI Simulations in Hemodynamics

Scale-uniform inverse inequalities for scaled kernel spaces

Review of Summation-by-parts schemes for initial-boundary-value problems

Terminating Zero-Balanced Hypergeometric Series Using Divided Differences

Optimally Tuned Iterative Reconstruction Algorithms for Compressed Sensing

Stiff Norm Estimates for Variable-Stepsize Peer Two-Step Methods

Waveguiding in systems of high contrast resonators: Theory and fast computations

Flexpoint: An Adaptive Numerical Format for Efficient Training of Deep Neural Networks

Spherical Fourier Neural Operators: Learning Stable Dynamics on the Sphere

An Iterative Wavelet Threshold for Signal Denoising

Annular liquid jets: exact constraint absorption and finite-time loss of transversality

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

Scalable Gradients for Stochastic Differential Equations

Time-Fractional Allen-Cahn Equations: Analysis and Numerical Methods

Efficient estimation of eigenvalue counts in an interval

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

IAS15: A fast, adaptive, high-order integrator for gravitational dynamics, accurate to machine precision over a billion orbits

Fixed-Rank Representation for Unsupervised Visual Learning

Sparse Pseudospectral Approximation Method

Large Growth Happens: Gaussian Elimination with Partial Pivoting on Random Matrices

On a maximum principle in discretization with spherical harmonics

Adaptive Multiresolution Diffusion Operators: A Variational Theory on Evolving Multiresolution Spaces

Improving CUR Matrix Decomposition and the Nyström Approximation via Adaptive Sampling

Updating and Downdating the Recurrences of Discrete Multiple Orthogonal Polynomials on the Real Line

A Stochastic PCA and SVD Algorithm with an Exponential Convergence Rate

Crouzeix--Raviart--Marini realisation of computable a priori $L^2$-error bounds on anisotropic meshes

On rate optimality for ill-posed inverse problems in econometrics

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

Nechvile-Transformed Spacecraft Dynamics and Propellant Computation in the 3-Body Problem

Fast Gauss Sums via Flash Attention

Explicit domain preserving numerical schemes for a class of stochastic differential equations

Fast computation of high frequency Dirichlet eigenmodes via the spectral flow of the interior Neumann-to-Dirichlet map

Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling

High-order quantum algorithm for solving linear differential equations

Low-rank tensor completion: a Riemannian manifold preconditioning approach

Score-Based Generative Data Assimilation for Integrating Aggregated Surveillance Data into Agent-Based Models in Epidemic Tracking

Survey of multifidelity methods in uncertainty propagation, inference, and optimization

Multi-scale Deep Neural Networks for Solving High Dimensional PDEs

Nektar++: enhancing the capability and application of high-fidelity spectral/$hp$ element methods