Numerical Methods

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Improved Representation of Matrix Lie Group Operations through Tensor Notation

 📐Matrix Theory  Content type: Academic
arxiv.org·

Learning solution operators of PDEs with sparse approximation methods

 📈Optimization  Content type: Academic
arxiv.org·

Numerical Approximation of the stochastic Cahn--Hilliard equation with singular potential

 🔁Recursion  Content type: Academic
arxiv.org·

A Divergence-Free Scott-Vogelius Finite Element Method for the Surface Stokes Problem

 🎨Computer Graphics  Content type: Academic
arxiv.org·

A decoupled energy-stable mixed finite element method for Poisson-Nernst-Planck-Navier-Stokes equations

 🔄Dynamic Programming  Content type: Academic
arxiv.org·

Floating-point autotuning with customized precisions

 🔢mathmemathics  Content type: Academic
arxiv.org·

Convergence of a discrete-in-time Approximation to a Degenerate Parabolic-Hyperbolic System

 ⏱️Computational Complexity  Content type: Academic
arxiv.org·

Boundary-Layer-Induced Failure of Standard Physics-Informed Neural Networks: A Legendre Wavelet Collocation Benchmark for Singularly Perturbed Transport Problem...

 📈Optimization  Content type: Academic
arxiv.org·

Dmsh: A Multi-Agent Reinforcement Learning Framework for All-Quad Mesh Generation

 🎯A* Search  Content type: Academic
arxiv.org·

A q-Tsallis Safe Approximation for Chance-Constrained Programs

 🔄Dynamic Programming  Content type: Academic
arxiv.org·

A Measure-Consistent Operator Learning Method for Infinite-Dimensional Master Equations

 📈Optimization  Content type: Academic
arxiv.org·

Stable and Scalable Probabilistic Numerical Solvers for Stiff and High-Dimensional ODEs

 🎨Computer Graphics  Content type: Academic
arxiv.org·

Numerical analysis of the second-order time-dependent saddle point Maxwell system via a parameter-free discontinuous Galerkin method: The first optimal ${\bf L}^{2}$-norm error estimates

 🔄Dynamic Programming  Content type: Academic
arxiv.org·

Low-Rank Acceleration of the Operator Fourier Transform

 🔵Eigenvalues  Content type: Academic
arxiv.org·

How to grow a straight filament

 💻programming  Content type: Academic
arxiv.org·

High-Order Regularity and a Fully Discrete Fourier Spectral Method for a Partially Dissipative Viscoelastic Timoshenko System with Memory

 🔄Dynamic Programming  Content type: Academic
arxiv.org·

Well-posedness and finite element approximation of the electrostatic shear Alfv\'en wave equations

 algorithms  Content type: Academic
arxiv.org·

ND-TNN: Tensor-Neural-Network Approximation for High-Dimensional Nonlocal Diffusion Models

 📈Optimization  Content type: Academic
arxiv.org·

Edge slip stabilizes confined active vortices by suppressing localized instabilities

 🎨Computer Graphics  Content type: Academic
arxiv.org·

The Coercivity Gap in Neural PDE Solvers: Parameter Escape and Functional Convergence

 📈Optimization  Content type: Academic
arxiv.org·

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