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·

Anyone use Zig for scientific computing

 💻Computer Science
ziggit.dev·

TEM Agent : enhancing transmission electron microscopy with modern AI tools

 🤖AI  Content type: Academic
nature.com·

Pulling on a thread

 🔢Combinatorics  Content type: Blog
johndcook.com·

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·

Machine learning–assisted design of a wideband Fe–SiO 2 –MXene metamaterial solar absorber for angle-insensitive thermal energy harvesting

 📡Information Theory  Content type: Academic
nature.com·

Evaluating Operators for Acoustic Wave Simulation Correction

 📈Statistical Learning  Content type: Academic
arxiv.org·

AutoPDE: Reliable Agentic PDE Solving via Explicitly Represented Solver Strategies

 Automatic Differentiation  Content type: Academic
arxiv.org·

Numerical Analysis on Backward Stochastic Differential Equations by Finite Transposition Method

 🌀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·

Higher-order Diffusion Sampling via Chebyshev Interpolation and Gauss--Seidel Iterations

 Automatic Differentiation  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·

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

 🔥PyTorch  Content type: Academic
arxiv.org·

Hybrid Hamiltonian-diagrammatic quantum impurity solver

 🌀Hamiltonian Mechanics  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·

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

 💻Computer Science  Content type: Academic
arxiv.org·

Convergence Rates for Neural-Network Estimation with Current-Status Data

 🧠Neural Networks  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·

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