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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1,021 to 1,080 of 1,816

Efficient Quantum Simulation of Variable-Coefficient Transport with Continuous Source Injection
Mohammad Mehedi Hasan Akash, Turag Dev, Nhat-Quang Nguyen +3
quant-phmath.NAarXiv:2608.27712v12026
Analysis of the ensemble Kalman filter for inverse problems
Claudia Schillings, Andrew M. Stuart
math.NAarXiv:1602.02020v22016
Stochastic Optimization for Large-scale Optimal Transport
Genevay Aude, Marco Cuturi, Gabriel Peyré +1
math.OCcs.LGmath.NAarXiv:1605.08527v12016
Structure-preserving quasi-interpolation for vector-valued function with multiple physical constraints
Wenwu Gao
math.NAcs.NAarXiv:2609.12912v12026
Even Faster Accelerated Coordinate Descent Using Non-Uniform Sampling
Zeyuan Allen-Zhu, Zheng Qu, Peter Richtárik +1
math.OCcs.DSmath.NAarXiv:1512.09103v32015
Exact low-dimensional reformulations for regularized spectral approximation
Shengxiang Deng, Xudong Li, Yangjing Zhang
math.OCmath.NAarXiv:2608.27052v12026
Analysis of a first-order explicit positivity preserving scheme for a class of scalar SDEs
Charles-Edouard Bréhier, David Cohen
math.NAmath.PRarXiv:2608.25689v12026
Temporal Link Prediction using Matrix and Tensor Factorizations
Daniel M. Dunlavy, Tamara G. Kolda, Evrim Acar
math.NAphysics.data-anstat.MLarXiv:1005.4006v22010
Adaptive ADMM with Spectral Penalty Parameter Selection
Zheng Xu, Mario A. T. Figueiredo, Tom Goldstein
cs.LGcs.AIcs.NAarXiv:1605.07246v52016
Choose a Transformer: Fourier or Galerkin
Shuhao Cao
cs.LGmath.NAarXiv:2105.14995v42021
Numerical analysis of data assimilation for slightly compressible flow
Aytekin Çıbık, Rui Fang
math.NAarXiv:2608.27647v12026
On the Expressive Power of Deep Learning: A Tensor Analysis
Nadav Cohen, Or Sharir, Amnon Shashua
cs.NEcs.LGmath.NAarXiv:1509.05009v32015
Lift & Learn: Physics-informed machine learning for large-scale nonlinear dynamical systems
Elizabeth Qian, Boris Kramer, Benjamin Peherstorfer +1
math.NAcs.LGarXiv:1912.08177v52019
LazySVD: Even Faster SVD Decomposition Yet Without Agonizing Pain
Zeyuan Allen-Zhu, Yuanzhi Li
math.NAcs.DScs.LGarXiv:1607.03463v22016
CARE-SAV: A Conditioning-Aware Random-Feature Framework for Energy-Stable Simulation of Gradient Flows
Bingcheng Hu, Zhaoxiang Li
math.NAarXiv:2608.25300v12026
Multidimensional Summation-By-Parts Operators: General Theory and Application to Simplex Elements
Jason E. Hicken, David C. Del Rey Fernández, David W. Zingg
math.NAcs.NAarXiv:1505.03125v32015
Improved architectures and training algorithms for deep operator networks
Sifan Wang, Hanwen Wang, Paris Perdikaris
cs.LGmath.NAphysics.comp-pharXiv:2110.01654v22021
Preconditioning for Diffuse Interface Tumor Growth Models
Jessica Bosch, Pelin Çiloğlu, Chen Greif +1
math.NAarXiv:2608.25537v12026
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
Hybrid Deterministic-Stochastic Methods for Data Fitting
Michael P. Friedlander, Mark Schmidt
math.NAeess.SYmath.OCarXiv:1104.2373v42011
Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
Buyang Li, Weiwei Sun
math.NAarXiv:1208.4698v62012
Stability Analysis for the Virtual Element Method
Lourenco Beirao da Veiga, Carlo Lovadina, Alessandro Russo
math.NAarXiv:1607.05988v12016
Parametric finite element approximations of curvature driven interface evolutions
John W. Barrett, Harald Garcke, Robert Nürnberg
math.NAcs.NAarXiv:1903.09462v32019
A new primal-dual algorithm for minimizing the sum of three functions with a linear operator
Ming Yan
math.OCcs.NAmath.NAarXiv:1611.09805v42016
Moment Tensor Potentials: a class of systematically improvable interatomic potentials
Alexander V. Shapeev
physics.comp-phcond-mat.mtrl-scimath.NAarXiv:1512.06054v22015
PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network
Zichao Long, Yiping Lu, Bin Dong
cs.LGmath.NAphysics.comp-pharXiv:1812.04426v22018
Accelerated, Parallel and Proximal Coordinate Descent
Olivier Fercoq, Peter Richtárik
math.OCcs.DCmath.NAarXiv:1312.5799v22013
A Weak Galerkin Finite Element Method for Second-Order Elliptic Problems
Junping Wang, Xiu Ye
math.NAarXiv:1104.2897v12011
Estimates on the generalization error of Physics Informed Neural Networks (PINNs) for approximating a class of inverse problems for PDEs
Siddhartha Mishra, Roberto Molinaro
math.NAcs.LGmath-pharXiv:2007.01138v32020
Hutch++: Optimal Stochastic Trace Estimation
Raphael A. Meyer, Cameron Musco, Christopher Musco +1
cs.DScs.LGmath.NAarXiv:2010.09649v52020
Analysis of $L1$-Galerkin FEMs for time-fractional nonlinear parabolic problems
Dongfang Li, Hong-lin Liao, Weiwei Sun +2
math.NAarXiv:1612.00562v12016
A new tool to study real dynamics: The Convergence Plane
Angel Alberto Magreñan
math.NAarXiv:1310.3986v12013
Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
Zhibo Wang, Seakweng Vong
math.NAarXiv:1310.5298v22013
Compressed Sensing with Coherent and Redundant Dictionaries
Emmanuel J. Candes, Yonina C. Eldar, Deanna Needell +1
math.NAcs.ITarXiv:1005.2613v32010
A Multilevel Interacting Particle System Method for the estimation of Failure Probabilities
Rubén Aylwin, José Pinto
math.NAarXiv:2608.27275v12026
Computing in Operations Research using Julia
Miles Lubin, Iain Dunning
math.OCcs.PLmath.NAarXiv:1312.1431v12013
On Dynamic Mode Decomposition: Theory and Applications
Jonathan H. Tu, Clarence W. Rowley, Dirk M. Luchtenburg +2
math.NAphysics.flu-dynarXiv:1312.0041v12013
Towards Foundation Models for Scientific Machine Learning: Characterizing Scaling and Transfer Behavior
Shashank Subramanian, Peter Harrington, Kurt Keutzer +4
cs.LGmath.NAarXiv:2306.00258v12023
Kolmogorov Arnold Informed neural network: A physics-informed deep learning framework for solving forward and inverse problems based on Kolmogorov Arnold Networks
Yizheng Wang, Jia Sun, Jinshuai Bai +5
cs.LGmath.NAarXiv:2406.11045v22024
Derivative-Based Koopman Operators for Real-Time Control of Robotic Systems
Giorgos Mamakoukas, Maria L. Castano, Xiaobo Tan +1
stat.MLcs.LGcs.NAarXiv:2010.05778v22020
Uniform Uncertainty Principle and signal recovery via Regularized Orthogonal Matching Pursuit
Deanna Needell, Roman Vershynin
math.NAarXiv:0707.4203v42007
On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H1-Stability of L2-Projection
Michael Karkulik, David Pavlicek, Dirk Praetorius
math.NAcs.NAarXiv:1210.0367v12012
Bernstein--von Mises theorems for Bayesian probabilistic numerics
Sascha Gaudlitz, Sven Wang
math.STcs.NAmath.NAarXiv:2609.04124v12026
A Unified Gas Kinetic Scheme for Multi-scale and Multi-component Plasma Transport
Chang Liu, Kun Xu
physics.comp-phmath.NAphysics.plasm-pharXiv:1609.05291v22016
A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability
Kelong Cheng, Zhonghua Qiao, Cheng Wang
math.NAcs.NAarXiv:1903.03296v12019
fKAN: Fractional Kolmogorov-Arnold Networks with trainable Jacobi basis functions
Alireza Afzal Aghaei
cs.LGcs.NAmath.NAarXiv:2406.07456v12024
Challenges of learning multi-scale dynamics with AI weather models: Implications for stability and one solution
Ashesh Chattopadhyay, Y. Qiang Sun, Pedram Hassanzadeh
physics.flu-dyncs.AIcs.LGarXiv:2304.07029v22023
Fast Alternating Linearization Methods for Minimizing the Sum of Two Convex Functions
Donald Goldfarb, Shiqian Ma, Katya Scheinberg
math.OCcs.CVmath.NAarXiv:0912.4571v22009
An Optimal IPDG Scheme for the Biharmonic Equation
Bohua Zhang, Xia Ji, Shuo Zhang
math.NAcs.NAarXiv:2609.12675v12026
Unified Form Language: A domain-specific language for weak formulations of partial differential equations
Martin S. Alnaes, Anders Logg, Kristian B. Oelgaard +2
cs.MScs.SCmath.NAarXiv:1211.4047v22012
Stochastic Gradient Descent, Weighted Sampling, and the Randomized Kaczmarz algorithm
Deanna Needell, Nathan Srebro, Rachel Ward
math.NAcs.CVcs.LGarXiv:1310.5715v52013
An intrinsic finite element framework for scalar- and vector-valued partial differential equations on general manifolds
Tamara A. Tambyah, Alberto F. Martín, David Lee +1
math.NAcs.NAarXiv:2609.09592v12026
A fractional Laplace equation: regularity of solutions and Finite Element approximations
Gabriel Acosta, Juan Pablo Borthagaray
math.NAarXiv:1507.08970v32015
Golden Ratio Algorithms for Variational Inequalities
Yura Malitsky
math.OCmath.NAarXiv:1803.08832v22018
A Polynomial-Scaling PDE Solver with Entanglement-Basis Tensor Networks
Abhijatmedhi Chotrattanapituk, Michael J. Landry, Chu-Liang Fu +1
math.NAcond-mat.othercs.NAarXiv:2610.02316v12026
Pricing options and computing implied volatilities using neural networks
Shuaiqiang Liu, Cornelis W. Oosterlee, Sander M. Bohte
q-fin.CPcs.LGcs.NAarXiv:1901.08943v22019
Phase Retrieval from Coded Diffraction Patterns
Emmanuel Candes, Xiaodong Li, Mahdi Soltanolkotabi
cs.ITmath.FAmath.NAarXiv:1310.3240v22013
Efficient quantum algorithm for dissipative nonlinear differential equations
Jin-Peng Liu, Herman Øie Kolden, Hari K. Krovi +3
quant-phmath.NAphysics.plasm-pharXiv:2011.03185v42020
Efficient Accelerated Coordinate Descent Methods and Faster Algorithms for Solving Linear Systems
Yin Tat Lee, Aaron Sidford
cs.DSmath.NAarXiv:1305.1922v12013
A quasi-Newton proximal splitting method
Stephen Becker, M. Jalal Fadili
math.OCmath.NAarXiv:1206.1156v22012

math.NA

Efficient Quantum Simulation of Variable-Coefficient Transport with Continuous Source Injection

Analysis of the ensemble Kalman filter for inverse problems

Stochastic Optimization for Large-scale Optimal Transport

Structure-preserving quasi-interpolation for vector-valued function with multiple physical constraints

Even Faster Accelerated Coordinate Descent Using Non-Uniform Sampling

Exact low-dimensional reformulations for regularized spectral approximation

Analysis of a first-order explicit positivity preserving scheme for a class of scalar SDEs

Temporal Link Prediction using Matrix and Tensor Factorizations

Adaptive ADMM with Spectral Penalty Parameter Selection

Choose a Transformer: Fourier or Galerkin

Numerical analysis of data assimilation for slightly compressible flow

On the Expressive Power of Deep Learning: A Tensor Analysis

Lift & Learn: Physics-informed machine learning for large-scale nonlinear dynamical systems

LazySVD: Even Faster SVD Decomposition Yet Without Agonizing Pain

CARE-SAV: A Conditioning-Aware Random-Feature Framework for Energy-Stable Simulation of Gradient Flows

Multidimensional Summation-By-Parts Operators: General Theory and Application to Simplex Elements

Improved architectures and training algorithms for deep operator networks

Preconditioning for Diffuse Interface Tumor Growth Models

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

Hybrid Deterministic-Stochastic Methods for Data Fitting

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

Stability Analysis for the Virtual Element Method

Parametric finite element approximations of curvature driven interface evolutions

A new primal-dual algorithm for minimizing the sum of three functions with a linear operator

Moment Tensor Potentials: a class of systematically improvable interatomic potentials

PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network

Accelerated, Parallel and Proximal Coordinate Descent

A Weak Galerkin Finite Element Method for Second-Order Elliptic Problems

Estimates on the generalization error of Physics Informed Neural Networks (PINNs) for approximating a class of inverse problems for PDEs

Hutch++: Optimal Stochastic Trace Estimation

Analysis of $L1$-Galerkin FEMs for time-fractional nonlinear parabolic problems

A new tool to study real dynamics: The Convergence Plane

Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation

Compressed Sensing with Coherent and Redundant Dictionaries

A Multilevel Interacting Particle System Method for the estimation of Failure Probabilities

Computing in Operations Research using Julia

On Dynamic Mode Decomposition: Theory and Applications

Towards Foundation Models for Scientific Machine Learning: Characterizing Scaling and Transfer Behavior

Kolmogorov Arnold Informed neural network: A physics-informed deep learning framework for solving forward and inverse problems based on Kolmogorov Arnold Networks

Derivative-Based Koopman Operators for Real-Time Control of Robotic Systems

Uniform Uncertainty Principle and signal recovery via Regularized Orthogonal Matching Pursuit

On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H1-Stability of L2-Projection

Bernstein--von Mises theorems for Bayesian probabilistic numerics

A Unified Gas Kinetic Scheme for Multi-scale and Multi-component Plasma Transport

A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability

fKAN: Fractional Kolmogorov-Arnold Networks with trainable Jacobi basis functions

Challenges of learning multi-scale dynamics with AI weather models: Implications for stability and one solution

Fast Alternating Linearization Methods for Minimizing the Sum of Two Convex Functions

An Optimal IPDG Scheme for the Biharmonic Equation

Unified Form Language: A domain-specific language for weak formulations of partial differential equations

Stochastic Gradient Descent, Weighted Sampling, and the Randomized Kaczmarz algorithm

An intrinsic finite element framework for scalar- and vector-valued partial differential equations on general manifolds

A fractional Laplace equation: regularity of solutions and Finite Element approximations

Golden Ratio Algorithms for Variational Inequalities

A Polynomial-Scaling PDE Solver with Entanglement-Basis Tensor Networks

Pricing options and computing implied volatilities using neural networks

Phase Retrieval from Coded Diffraction Patterns

Efficient quantum algorithm for dissipative nonlinear differential equations

Efficient Accelerated Coordinate Descent Methods and Faster Algorithms for Solving Linear Systems

A quasi-Newton proximal splitting method