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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1,621 to 1,680 of 1,837

On weak greedy algorithms
A. S. Spivak, V. N. Temlyakov
math.NAmath.FAarXiv:2604.26064v12026
A spectral-element method for computing many eigenvalues and their asymptotics of the Schr\"odinger operator with Robin boundary condition
Weizhu Bao, Fukeng Huang
math.NAcs.NAmath-pharXiv:2609.12369v12026
Error analysis for physics informed neural networks (PINNs) approximating Kolmogorov PDEs
Tim De Ryck, Siddhartha Mishra
math.NAcs.LGcs.NAarXiv:2106.14473v22021
Acceleration via Symplectic Discretization of High-Resolution Differential Equations
Bin Shi, Simon S. Du, Weijie J. Su +1
math.OCcs.LGcs.NAarXiv:1902.03694v22019
The Numerical Linear Algebra of Large Language Models
Abdelkader Baggag, Yousef Saad
cs.LGcs.NAmath.NAarXiv:2610.04631v12026
The shifted proper orthogonal decomposition: A mode decomposition for multiple transport phenomena
Julius Reiss, Philipp Schulze, Jörn Sesterhenn +1
math.NAarXiv:1512.01985v32015
CEENs: Causality-enforced evolutional networks for solving time-dependent partial differential equations
Jeahan Jung, Heechang Kim, Hyomin Shin +1
cs.LGcs.NAmath.NAarXiv:2610.04405v12026
Mixed Precision Training of Convolutional Neural Networks using Integer Operations
Dipankar Das, Naveen Mellempudi, Dheevatsa Mudigere +14
cs.NEcs.LGmath.NAarXiv:1802.00930v22018
Parameter-robust discretization and preconditioning of Biot's consolidation model
Jeonghun J. Lee, Kent-Andre Mardal, Ragnar Winther
math.NAarXiv:1507.03199v42015
Inference of Hamiltonian and Lie-Poisson structures from vector field samples
Jason E. Frank, Georg A. Gottwald
math.NAcs.NAmath.DSarXiv:2610.04350v12026
An Isogeometric Boundary Element Method for elastostatic analysis: 2D implementation aspects
R. N. Simpson, S. P. A. Bordas, H. Lian +1
math.NAarXiv:1302.5305v12013
On the involution preserving properties of semi-discrete Active Flux methods on simplex
Remi Abgrall, Yongle Liu, Mario Ricchiuto
math.NAcs.NAarXiv:2610.04349v12026
Literature survey on low rank approximation of matrices
N. Kishore Kumar, Jan Shneider
math.NAarXiv:1606.06511v12016
Conditioning and Singular Value Distribution of Jacobi Weighted Histopolation Matrices
Allal Guessab, Federico Nudo, Stefano Serra-Capizzano
math.NAcs.NAarXiv:2610.04383v12026
On the Random Batch Method for second order interacting particle systems
Shi Jin, Lei Li, Yiqun Sun
math.NAarXiv:2011.10778v12020
Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients
Martin Hutzenthaler, Arnulf Jentzen, Peter E. Kloeden
math.NAmath.PRarXiv:1010.3756v22010
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training
Zhongkai Hao, Chang Su, Songming Liu +6
cs.LGcs.NAmath.NAarXiv:2403.03542v42024
$R$-Linear Convergence of Barzilai-Borwein Methods on Strictly Convex Quadratics via Closed-Cone Homogeneous Dynamics
Shutai Yang, Ya-xiang Yuan
math.OCcs.NAmath.NAarXiv:2609.12100v12026
Rethinking floating point for deep learning
Jeff Johnson
math.NAcs.LGarXiv:1811.01721v12018
Hierarchical interpolative factorization for elliptic operators: differential equations
Kenneth L. Ho, Lexing Ying
math.NAcs.NAarXiv:1307.2895v32013
NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter
Navid Valizadeh, Sundararajan Natarajan, Octavio A Gonzalez-Estrada +3
math.NAarXiv:1210.4676v32012
An efficient iterative thresholding method for image segmentation
Dong Wang, Haohan Li, Xiaoyu Wei +1
cs.CVmath.NAarXiv:1608.01431v22016
Training DNNs with Hybrid Block Floating Point
Mario Drumond, Tao Lin, Martin Jaggi +1
cs.LGcs.NAmath.NAarXiv:1804.01526v42018
Two-level hybrid Schwarz preconditioners with preasymptotic piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation
Jeffrey Galkowski, Euan A. Spence, Pierre-Henri Tournier
math.NAcs.NAarXiv:2610.11774v12026
Verified Linear Programming through Tolerance-Aware Precision Boosting
Ernesto Casablanca, Martin Sidaway, Paolo Zuliani +1
math.OCcs.NAmath.NAarXiv:2609.11721v22026
Lambert W Function for Applications in Physics
Darko Veberic
cs.MSmath.NAphysics.comp-pharXiv:1209.0735v22012
Sparse Approximation via Polynomial Equations
Matija Tomić, Raphaël Widdershoven, Lieven De Lathauwer
eess.SPcs.NAmath.NAarXiv:2609.11215v12026
Numerical Study of Reported Multiple Solutions to a Cauchy Problem for the 2d Incompressible Euler Equations
Allen Tesdall, Richard Sanders
math.APcs.NAmath.NAarXiv:2609.11694v12026
PH2T-splines, Part I: A Reasonable Mesh Assumption
Bingru Huang, Yue Xi
math.NAcs.NAarXiv:2609.11443v12026
Time-optimal elevator control with higher-order state constraints: analysis and computation of boundary contacts
Dmitry Karamzin, Aleksandra Zhukova, Roman Chertovskih +1
math.OCcs.NAmath.DSarXiv:2609.11348v12026
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion
Tony Lelièvre, Francis Nier, Grigorios A. Pavliotis
math.NAarXiv:1212.0876v12012
A note on the convergence analysis of Laguerre approximations for analytic functions
Thomas Caussade, David P. Hewett
math.NAcs.NAarXiv:2609.11259v22026
Adaptive Diagonally Implicit Runge-Kutta Methods Devoid of Order Reduction for Semilinear ODEs
Steven B. Roberts, Abhijit Biswas, David Shirokoff +1
math.NAcs.NAarXiv:2609.11069v12026
Extending a new two-grid waveform relaxation on a spatial finite element discretization
A. Mesforush, N. Habibi
math.NAarXiv:2609.27935v12026
A stabilized Nitsche fictitious domain method for the Stokes problem
Andre Massing, Mats G. Larson, Anders Logg +1
math.NAarXiv:1206.1933v12012
TOPIQ: Statistical Error Propagation for Quantity-of-Interest Prediction under Lossy Compression
Youyuan Liu, Bo Jiang, Taolue Yang +3
cs.PFcs.ITmath.NAarXiv:2608.26912v12026
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
Vectorial lattice Boltzmann solver for compressible inviscid flows with generic equation of state
S. A. Hosseini, I. V. Karlin
math.NAcs.NAphysics.flu-dynarXiv:2609.10639v12026
A stable rank-adaptive step-and-truncate finite volume method for Vlasov transport on domains with piecewise linear boundaries
André Uschmajew, Andreas Zeiser
math.NAarXiv:2609.02721v12026
Invariant domain preservation for hybrid point-value and cell-average discretizations of hyperbolic equations on general meshes
Shengrong Ding, Shumo Cui, Remi Abgrall +1
math.NAcs.NAphysics.comp-pharXiv:2609.10476v12026
Riemannian Metric and Geometric Mean for Positive Semidefinite Matrices of Fixed Rank
Silvere Bonnabel, Rodolphe Sepulchre
math.OCmath.NAarXiv:0807.4462v22008
Optimal experimental design: Formulations and computations
Xun Huan, Jayanth Jagalur, Youssef Marzouk
stat.MEcs.NAmath.NAarXiv:2407.16212v22024
Order elevation of directly self-starting sub-step implicit integrators for transient dynamics
Jinze Li, Yaokun Liu, Kewei Chen +2
math.NAcs.NAphysics.comp-pharXiv:2609.10240v12026
Communication-Optimal Parallel Algorithm for Strassen's Matrix Multiplication
Grey Ballard, James Demmel, Olga Holtz +2
cs.DScs.CCcs.DCarXiv:1202.3173v12012
A Thermodynamically Consistent Model for Multicomponent Vesicles
Wangbo Luo, Zhonghua Qiao, Yanxiang Zhao
math.NAcs.NAmath-pharXiv:2609.10168v12026
DiffusionPDE: Generative PDE-Solving Under Partial Observation
Jiahe Huang, Guandao Yang, Zichen Wang +1
cs.LGcs.AIcs.CVarXiv:2406.17763v22024
Estimating Hierarchically Rank Structured Covariance Matrices
Robin Armstrong, Anil Damle, Samuel E. Otto
stat.COcs.NAmath.NAarXiv:2609.09944v12026
Data-Driven POD-Galerkin Reduced Order Model for Turbulent Flows
Saddam Hijazi, Giovanni Stabile, Andrea Mola +1
math.NAcs.CEarXiv:1907.09909v32019
Order Reduction of Exponential Runge--Kutta Methods: Fourth-Order Schemes for Non-Commuting Operators
Thi Tam Dang, Pablo Alexei Gazca-Orozco, Trung Hau Hoang
math.NAcs.NAarXiv:2609.09932v12026
A stabilized scheme satisfying the discrete maximum principle for a time fractional convection-diffusion-reaction equation
Christos Pervolianakis
math.NAarXiv:2609.03808v12026
Arbitrary order 2D virtual elements for polygonal meshes: Part II, inelastic problem
Edoardo Artioli, Lourenco Beirão da Veiga, Carlo Lovadina +1
math.NAcs.NAarXiv:1701.06676v22017
Sweeping Preconditioner for the Helmholtz Equation: Hierarchical Matrix Representation
Björn Engquist, Lexing Ying
math.NAarXiv:1007.4290v22010
Quasi-Monte Carlo Feature Maps for Shift-Invariant Kernels
Haim Avron, Vikas Sindhwani, Jiyan Yang +1
stat.MLcs.LGmath.NAarXiv:1412.8293v22014
Faster Kernel Ridge Regression Using Sketching and Preconditioning
Haim Avron, Kenneth L. Clarkson, David P. Woodruff
math.NAcs.DScs.LGarXiv:1611.03220v42016
On the stability and accuracy of least squares approximations
Albert Cohen, Mark A. Davenport, Dany Leviatan
math.NAarXiv:1111.4422v32011
Constructive Tchakaloff results and well-conditioned quadrature through randomized least squares
Filip Bělík, Akil Narayan, John Turnage
math.NAcs.NAarXiv:2609.09506v12026
Entropy dissipative high order schemes for a hyperbolic model of two-layer thin film flow
Rahul Barthwal, Philipp Öffner, Chetan Singh +1
math.NAcs.NAmath.AParXiv:2610.02059v12026
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
Approximation and computation of the geodesic Sinkhorn distance
Hugo Lavenant, Jonas Luckhardt, Bernhard Schmitzer
math.NAcs.NAmath.MGarXiv:2610.02007v12026
A Practical Randomized CP Tensor Decomposition
Casey Battaglino, Grey Ballard, Tamara G. Kolda
math.NAarXiv:1701.06600v22017

math.NA

On weak greedy algorithms

A spectral-element method for computing many eigenvalues and their asymptotics of the Schr\"odinger operator with Robin boundary condition

Error analysis for physics informed neural networks (PINNs) approximating Kolmogorov PDEs

Acceleration via Symplectic Discretization of High-Resolution Differential Equations

The Numerical Linear Algebra of Large Language Models

The shifted proper orthogonal decomposition: A mode decomposition for multiple transport phenomena

CEENs: Causality-enforced evolutional networks for solving time-dependent partial differential equations

Mixed Precision Training of Convolutional Neural Networks using Integer Operations

Parameter-robust discretization and preconditioning of Biot's consolidation model

Inference of Hamiltonian and Lie-Poisson structures from vector field samples

An Isogeometric Boundary Element Method for elastostatic analysis: 2D implementation aspects

On the involution preserving properties of semi-discrete Active Flux methods on simplex

Literature survey on low rank approximation of matrices

Conditioning and Singular Value Distribution of Jacobi Weighted Histopolation Matrices

On the Random Batch Method for second order interacting particle systems

Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients

DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training

$R$-Linear Convergence of Barzilai-Borwein Methods on Strictly Convex Quadratics via Closed-Cone Homogeneous Dynamics

Rethinking floating point for deep learning

Hierarchical interpolative factorization for elliptic operators: differential equations

NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter

An efficient iterative thresholding method for image segmentation

Training DNNs with Hybrid Block Floating Point

Two-level hybrid Schwarz preconditioners with preasymptotic piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation

Verified Linear Programming through Tolerance-Aware Precision Boosting

Lambert W Function for Applications in Physics

Sparse Approximation via Polynomial Equations

Numerical Study of Reported Multiple Solutions to a Cauchy Problem for the 2d Incompressible Euler Equations

PH2T-splines, Part I: A Reasonable Mesh Assumption

Time-optimal elevator control with higher-order state constraints: analysis and computation of boundary contacts

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

A note on the convergence analysis of Laguerre approximations for analytic functions

Adaptive Diagonally Implicit Runge-Kutta Methods Devoid of Order Reduction for Semilinear ODEs

Extending a new two-grid waveform relaxation on a spatial finite element discretization

A stabilized Nitsche fictitious domain method for the Stokes problem

TOPIQ: Statistical Error Propagation for Quantity-of-Interest Prediction under Lossy Compression

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

Vectorial lattice Boltzmann solver for compressible inviscid flows with generic equation of state

A stable rank-adaptive step-and-truncate finite volume method for Vlasov transport on domains with piecewise linear boundaries

Invariant domain preservation for hybrid point-value and cell-average discretizations of hyperbolic equations on general meshes

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

Optimal experimental design: Formulations and computations

Order elevation of directly self-starting sub-step implicit integrators for transient dynamics

Communication-Optimal Parallel Algorithm for Strassen's Matrix Multiplication

A Thermodynamically Consistent Model for Multicomponent Vesicles

DiffusionPDE: Generative PDE-Solving Under Partial Observation

Estimating Hierarchically Rank Structured Covariance Matrices

Data-Driven POD-Galerkin Reduced Order Model for Turbulent Flows

Order Reduction of Exponential Runge--Kutta Methods: Fourth-Order Schemes for Non-Commuting Operators

A stabilized scheme satisfying the discrete maximum principle for a time fractional convection-diffusion-reaction equation

Arbitrary order 2D virtual elements for polygonal meshes: Part II, inelastic problem

Sweeping Preconditioner for the Helmholtz Equation: Hierarchical Matrix Representation

Quasi-Monte Carlo Feature Maps for Shift-Invariant Kernels

Faster Kernel Ridge Regression Using Sketching and Preconditioning

On the stability and accuracy of least squares approximations

Constructive Tchakaloff results and well-conditioned quadrature through randomized least squares

Entropy dissipative high order schemes for a hyperbolic model of two-layer thin film flow

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

Approximation and computation of the geodesic Sinkhorn distance

A Practical Randomized CP Tensor Decomposition