Julia stochastic-differential-equations

Open-source Julia projects categorized as stochastic-differential-equations

Top 5 Julia stochastic-differential-equation Projects

stochastic-differential-equations
  1. DifferentialEquations.jl

    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

    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. DiffEqFlux.jl

    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

  5. DiffEqBase.jl

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

  6. StochasticDiffEq.jl

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

NOTE: The open source projects on this list are ordered by number of github stars. The number of mentions indicates repo mentiontions in the last 12 Months or since we started tracking (Dec 2020).

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Index

What are some of the best open-source stochastic-differential-equation projects in Julia? This list will help you:

# Project Stars
1 DifferentialEquations.jl 2,891
2 ModelingToolkit.jl 1,451
3 DiffEqFlux.jl 875
4 DiffEqBase.jl 320
5 StochasticDiffEq.jl 264

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