Top 13 Julia Ode Projects

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1. DifferentialEquations.jl

   1 7 2,894 6.9 Julia

   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.

   

   Project mention: Modelica | news.ycombinator.com | 2024-12-16

   Another up-and-coming solution is Julia's simulation ecosystem [1]. It is powered by the commercial organization behind the Julia programming language, which has received DARPA funding [2] to build out these tools. This ecosystem unifies researchers in numerical methods [3], scalable compute, and domain experts in modeling engineering systems (electrical, mechanical, etc.) I believe this is where simulation is headed.

   [1] https://juliahub.com/products/juliasim

   [2] https://news.ycombinator.com/item?id=26425659

   [3] https://docs.sciml.ai/DiffEqDocs/stable/

2. SaaSHub

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3. ModelingToolkit.jl

   2 16 1,452 9.9 Julia

   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

   

   Project mention: Modelica | news.ycombinator.com | 2024-12-16

   JuliaSim looks interesting! From my understanding, it's 100% proprietary/commercial, but built on top of the open source https://github.com/SciML/ModelingToolkit.jl?

4. NeuralPDE.jl

   3 10 1,022 9.5 Julia

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

   

5. OrdinaryDiffEq.jl

   4 3 573 10.0 Julia

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

   

6. Latexify.jl

   5 2 568 7.9 Julia

   Convert julia objects to LaTeX equations, arrays or other environments.

   

7. Catalyst.jl

   6 2 468 9.9 Julia

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

   

8. DataDrivenDiffEq.jl

   7 3 409 7.2 Julia

   Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization

   

9. SciMLSensitivity.jl

   8 2 333 9.6 Julia

   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.

   

10. DiffEqBase.jl

    9 1 320 9.3 Julia

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

    

11. DiffEqGPU.jl

    10 2 284 4.3 Julia

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

    

12. SciMLStyle

    11 2 217 4.2 Julia

    A style guide for stylish Julia developers

    

13. ModelingToolkitStandardLibrary.jl

    12 2 127 9.4 Julia

    A standard library of components to model the world and beyond

    

14. DiffEqDevTools.jl

    13 3 48 7.3 Julia

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

    

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• A note from our sponsor - SaaSHub
  www.saashub.com | 23 Jan 2025

  SaaSHub helps you find the best software and product alternatives Learn more →

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