Julia partial-differential-equations

Open-source Julia projects categorized as partial-differential-equations
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Topics: Julia neural-differential-equations differential-equations scientific-machine-learning Sciml
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Top 8 Julia partial-differential-equation Projects

  • 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.

  • NeuralPDE.jl

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

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  • 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

  • Gridap.jl

    Grid-based approximation of partial differential equations in Julia

  • ApproxFun.jl

    Julia package for function approximation

  • DiffEqBase.jl

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

  • FourierFlows.jl

    Tools for building fast, hackable, pseudospectral partial differential equation solvers on periodic domains

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  • MethodOfLines.jl

    Automatic Finite Difference PDE solving with Julia SciML

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 partial-differential-equation projects in Julia? This list will help you:

Project Stars
1 DifferentialEquations.jl 2,777
2 NeuralPDE.jl 914
3 DiffEqFlux.jl 843
4 Gridap.jl 645
5 ApproxFun.jl 524
6 DiffEqBase.jl 299
7 FourierFlows.jl 201
8 MethodOfLines.jl 151

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