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1. DifferentialEquations.jl DifferentialEquations.jl Public

   Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equat…

   Julia 3k 244

2. ModelingToolkit.jl ModelingToolkit.jl Public

   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 a…

   Julia 1.6k 233

3. NeuralPDE.jl NeuralPDE.jl Public

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

   Julia 1.1k 225

4. DiffEqFlux.jl DiffEqFlux.jl Public

   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

   Julia 900 163

5. diffeqpy diffeqpy Public

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

   Python 582 48

6. diffeqr diffeqr Public

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

   R 147 16