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The Top 23 Differential Equations Open Source Projects

Open source projects categorized as Differential Equations
Categories > Differential Equations
Differentialequations.jl ⭐ 2,689
Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.
most recent commit 3 months ago
Gosl ⭐ 1,791
Linear algebra, eigenvalues, FFT, Bessel, elliptic, orthogonal polys, geometry, NURBS, numerical quadrature, 3D transfinite interpolation, random numbers, Mersenne twister, probability distributions, optimisation, differential equations.
dependent packages 1total releases 24most recent commit 3 months ago
Scimlbook ⭐ 1,722
Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)
most recent commit 4 months ago
Torchsde ⭐ 1,357
Differentiable SDE solvers with GPU support and efficient sensitivity analysis.
dependent packages 10total releases 2most recent commit 7 months agopypi torchsde} Downloads
Modelingtoolkit.jl ⭐ 1,292
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
most recent commit 3 months ago
Diffrax ⭐ 1,131
Numerical differential equation solvers in JAX. Autodifferentiable and GPU-capable. https://docs.kidger.site/diffrax/
dependent packages 9total releases 16most recent commit 3 months agopypi diffrax} Downloads
Neuralpde.jl ⭐ 864
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
most recent commit 3 months ago
Brian2 ⭐ 838
Brian is a free, open source simulator for spiking neural networks.
dependent packages 19total releases 46most recent commit 4 months agopypi Brian2} Downloads
Diffeqflux.jl ⭐ 810
Universal neural differential equations with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods
most recent commit 3 months ago
Scimltutorials.jl ⭐ 698
Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
most recent commit 8 months ago
Neurodiffeq ⭐ 576
A library for solving differential equations using neural networks based on PyTorch, used by multiple research groups around the world, including at Harvard IACS.
total releases 18most recent commit 3 months ago
Ordinarydiffeq.jl ⭐ 479
High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
most recent commit 3 months ago
Diffeqpy ⭐ 456
Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization
dependent packages 2total releases 12most recent commit 4 months agopypi diffeqpy} Downloads
Brainpy ⭐ 438
Brain Dynamics Programming in Python
dependent packages 2total releases 56most recent commit 3 months agopypi brainpy} Downloads
Catalyst.jl ⭐ 402
Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.
most recent commit 3 months ago
Datadrivendiffeq.jl ⭐ 393
Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
most recent commit 3 months ago
Torchcde ⭐ 361
Differentiable controlled differential equation solvers for PyTorch with GPU support and memory-efficient adjoint backpropagation.
dependent packages 2total releases 4most recent commit 9 months agopypi torchcde} Downloads
Neuralcde ⭐ 352
Code for "Neural Controlled Differential Equations for Irregular Time Series" (Neurips 2020 Spotlight)
most recent commit 3 years ago
Wavetorch ⭐ 348
🌊 Numerically solving and backpropagating through the wave equation
total releases 2most recent commit 4 years ago
Vsl ⭐ 311
V library to develop Artificial Intelligence and High-Performance Scientific Computations
most recent commit 4 months ago
Surrogates.jl ⭐ 302
Surrogate modeling and optimization for scientific machine learning (SciML)
most recent commit 3 months ago
Scimlsensitivity.jl ⭐ 291
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.
most recent commit 3 months ago
Diffeqbase.jl ⭐ 282
The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
most recent commit 3 months ago
The 10 Most Depended On Differential Equations Open Source Projects
Brian2 ⭐ 838
Brian is a free, open source simulator for spiking neural networks.
dependent packages 19total releases 46latest release July 07, 2023most recent commit 4 months agopypi Brian2} Downloads
Scikit Fmm ⭐ 232
scikit-fmm is a Python extension module which implements the fast marching method.
dependent packages 15total releases 20latest release August 15, 2022most recent commit 4 months agopypi scikit-fmm} Downloads
Torchsde ⭐ 1,357
Differentiable SDE solvers with GPU support and efficient sensitivity analysis.
dependent packages 10total releases 2latest release September 26, 2023most recent commit 7 months agopypi torchsde} Downloads
Diffrax ⭐ 1,131
Numerical differential equation solvers in JAX. Autodifferentiable and GPU-capable. https://docs.kidger.site/diffrax/
dependent packages 9total releases 16latest release August 03, 2023most recent commit 3 months agopypi diffrax} Downloads
Pomp ⭐ 103
R package for statistical inference using partially observed Markov processes
dependent packages 8total releases 110latest release July 15, 2023most recent commit 3 months ago
Odex Js ⭐ 39
Bulirsch-Stoer integration of systems of ordinary differential equations in JavaScript
dependent packages 7total releases 19latest release April 04, 2023most recent commit 7 years agonpm odex} Downloads
Amici ⭐ 105
Advanced Multilanguage Interface to CVODES and IDAS
dependent packages 7total releases 105latest release November 21, 2023most recent commit 2 days agopypi amici} Downloads
Heyoka ⭐ 185
C++ library for ODE integration via Taylor's method and LLVM
dependent packages 5total releases 21latest release September 18, 2022most recent commit 3 months ago
Phaser ⭐ 10
Development version of phaseR, an R package for phase plane analysis of one- and two-dimensional autonomous ODE systems
dependent packages 3total releases 4latest release October 12, 2019most recent commit 2 years ago
Torchcde ⭐ 361
Differentiable controlled differential equation solvers for PyTorch with GPU support and memory-efficient adjoint backpropagation.
dependent packages 2total releases 4latest release October 17, 2021most recent commit 9 months agopypi torchcde} Downloads
The 10 Latest Releases In Differential Equations Open Source Projects
Diffeqpy ⭐ 456
Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization
dependent packages 2total releases 12latest release December 10, 2023most recent commit 4 months agopypi diffeqpy} Downloads
Brainpy ⭐ 438
Brain Dynamics Programming in Python
dependent packages 2total releases 56latest release December 10, 2023most recent commit 3 months agopypi brainpy} Downloads
Heyoka.py ⭐ 57
Python library for ODE integration via Taylor's method and LLVM
dependent packages 1total releases 7latest release November 29, 2023most recent commit 3 months agopypi heyoka} Downloads
Amici ⭐ 105
Advanced Multilanguage Interface to CVODES and IDAS
dependent packages 7total releases 105latest release November 21, 2023most recent commit 2 days agopypi amici} Downloads
Pina ⭐ 195
Physics-Informed Neural networks for Advanced modeling
total releases 8latest release November 17, 2023most recent commit 3 months ago
Torchsde ⭐ 1,357
Differentiable SDE solvers with GPU support and efficient sensitivity analysis.
dependent packages 10total releases 2latest release September 26, 2023most recent commit 7 months agopypi torchsde} Downloads
Diffrax ⭐ 1,131
Numerical differential equation solvers in JAX. Autodifferentiable and GPU-capable. https://docs.kidger.site/diffrax/
dependent packages 9total releases 16latest release August 03, 2023most recent commit 3 months agopypi diffrax} Downloads
Pomp ⭐ 103
R package for statistical inference using partially observed Markov processes
dependent packages 8total releases 110latest release July 15, 2023most recent commit 3 months ago
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