Numerical Methods

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A higher order numerical method for singularly perturbed elliptic problems with characteristic boundary layers

 📐Linear Algebra  Content type: Academic
arxiv.org·

Symbolica 2.0: programmable symbols, JIT evaluators, and type-erased callbacks in Rust

 🐍Python

Show HN: pypoLCA – Latent Class Analysis and Regression in Python

 🎲Probability Theory  Content type: Code
github.com··Hacker News

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

 📐Linear Algebra  Content type: Academic
arxiv.org·

Evaluating Operators for Acoustic Wave Simulation Correction

 📈Statistical Learning  Content type: Academic
arxiv.org·

Numerical Analysis on Backward Stochastic Differential Equations by Finite Transposition Method

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

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

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

Overcoming the Limits of Finite Difference Method; Physics-Informed Neural Network for Noisy High-Dimensional Heat Diffusion

 🔥PyTorch  Content type: Academic
arxiv.org·

Arbitrary high order shaped stencils for time domain finite difference schemes in seismic wave propagation

 🔥PyTorch  Content type: Academic
arxiv.org·

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

 🔥PyTorch  Content type: Academic
arxiv.org·

A space-time sparse-grid method for the wave equation

 💻Computer Science  Content type: Academic
arxiv.org·

High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation

 ⛰️Convex Analysis  Content type: Academic
arxiv.org·

Novel physical property preserved methods for stochastic Schr\"{o}dinger--KdV equation

 🌀Hamiltonian Mechanics  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

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

MPC for nonlinear systems: a comparative review of discretization methods

 🎮Reinforcement Learning  Content type: Academic
arxiv.org·

Optimizing Irreversible Perturbations of the Unadjusted Langevin Algorithm

 📊Optimization  Content type: Academic
arxiv.org·

Improved Convergence Analysis of Topology Dependence in Decentralized SGD

 📐Linear Algebra  Content type: Academic
arxiv.org·

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

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

Boundary-compatible interacting approximations of quasilinear PDEs on bounded domains

 🌀Hamiltonian Mechanics  Content type: Academic
arxiv.org·

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