Popular GitHub Repositories for Differentialequations

Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

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

Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.

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

Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization

A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R

Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations

Fast uncertainty quantification for scientific machine learning (SciML) and differential equations

Automatic detection of sparsity in pure Julia functions for sparsity-enabled scientific machine learning (SciML)

A library for building differential equations arising from physical problems for physics-informed and scientific machine learning (SciML)

Solves stiff differential algebraic equations (DAE) using variable stepsize backwards finite difference formula (BDF) in the SciML scientific machine learning organization

Differential equation problem specifications and scientific machine learning for common financial models

Interface to DASKR, a differential algebraic system solver for the SciML scientific machine learning ecosystem