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

LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

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

R package for statistical inference using partially observed Markov processes

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

Telegram bot that solves differential equations of the 1st and 2nd order using the Runge-Kutta method

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.

Simulating Single Pendulums with and without constraints

repo for masterthesis on monte carlo for linear ODEs

A library for solving differential equations using neural networks based on PyTorch, used by multiple research groups around the world, including at Harvard IACS.

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

A modern Fortran library providing an object-oriented approach to solving ordinary 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.

odeintw provides a wrapper of scipy.integrate.odeint that allows it to handle complex and matrix differential equations.

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

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

EPDE - partial differential equations discovery framework

Notes on Diffy Qs, a textbook for differential equations

V library to develop Artificial Intelligence and High-Performance Scientific Computations

The SciML Scientific Machine Learning Software Organization Website