Generative Pre-Trained Physics-Informed Neural Networks Implementation

An app for visualizing solutions to differential equations.

Rust Scientific Libary. ODE and DAE (Runge-Kutta) solvers. Special functions (Bessel, Elliptic, Beta, Gamma, Erf). Linear algebra. Sparse solvers (MUMPS, UMFPACK). Probability distributions. Tensor calculus.

High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.

Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods

repo for masterthesis on monte carlo for linear ODEs

Arrays with arbitrarily nested named components.

Nonlinear diffusion problems in Julia

Physics-Informed Neural networks for Advanced modeling

Various algorithms, without explanation of their work

Repository for the Software and Computing for Applied Physics Project

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations

This repository provides essential numerical algorithms for solving mathematical problems. Covering linear equations, differential equations and more, it's a valuable resource for students and professionals in science and engineering.

High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

Thesis for the Computational Science Master's program at Central Washington University. 3D extension of an analog of cosmological particle creation in a Friedmann-Robertson-Walker universe by numerically simulating a Bose-Einstein condensate with a time-dependent scattering length.

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

Documentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem

Numerical differential equation solvers in JAX. Autodifferentiable and GPU-capable. https://docs.kidger.site/diffrax/