Top 50 differential-equations open source projects

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components

Linear algebra, eigenvalues, FFT, Bessel, elliptic, orthogonal polys, geometry, NURBS, numerical quadrature, 3D transfinite interpolation, random numbers, Mersenne twister, probability distributions, optimisation, differential equations.

Owl's Differential Equation Solvers

The SciML Scientific Machine Learning Software Organization Website

Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions

ODE system solver made simple. For IVPs (initial value problems).

Wrappers for the SciPy differential equation solvers for the SciML Scientific Machine Learning organization

Public repository for the proposal “Physics-Informed Machine Learning Simulator for Wildfire Propagation” - MLJC University of Turin - ProjectX2020 Competition (UofT AI)

A collection of functionality around rooted trees to generate order conditions for Runge-Kutta methods in Julia for differential equations and scientific machine learning (SciML)

Benchmarks for scientific machine learning (SciML) software and differential equation solvers

Fortran Object-Oriented Differential-equations Integration Environment, FOODIE

GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem

C++ library for ODE integration via Taylor's method and LLVM

Open-source, graph-based Python code generator and analysis toolbox for dynamical systems (pre-implemented and custom models). Most pre-implemented models belong to the family of neural population models.

R package for statistical inference using partially observed Markov processes

Latent Differential Equations models in Julia.

Visualize curve shortening flow in your browser.

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

SBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkit

EPDE - partial differential equations discovery framework

Differential equations on manifolds

Computational Methods for Numerical Analysis

PyDEns is a framework for solving Ordinary and Partial Differential Equations (ODEs & PDEs) using neural networks

Reachability analysis for closed-loop control systems

Repository for B0M36SPJ

Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)

Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices

Helicopter Scientific Machine Learning (SciML) Challenge Problem

Boundary value problem (BVP) solvers for scientific machine learning (SciML)

Universal modeling and simulation of fluid dynamics upon machine learning

A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

Brain Dynamics Programming in Python

Numerical methods implementation in Python.

Bulirsch-Stoer integration of systems of ordinary differential equations in JavaScript

Artifitial Neural Networks for Solving Ordinary and Partial Differential Equations, in this case, Schrodinger's Equation for One Particle in a 1-Dimentional Box

Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA) in a SciML scientific machine learning enabled manner

CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.

Solving differential equations in R using DifferentialEquations.jl and the SciML Scientific Machine Learning ecosystem

Python library for ODE integration via Taylor's method and LLVM

A simple but powerful C++ DAE (Differential Algebraic Equation) solver

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

High-performance simulations of the Porous Electrode Theory for Li-ion batteries

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

Fortran Library for numerical INTegration of differential equations

A brian2 extension to simulate spiking neural networks on GPUs

Computational Neuroscience Crash Course (CNCC 2019)

library of numerical methods using Armadillo

Backend for DiffEqOnline, a webapp for scientific machine learning (SciML)

Piecewise Deterministic Markov Processes in Julia

Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia