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Top 7 Julia Pde Projects
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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.
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/
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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
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?
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NeuralPDE.jl
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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DiffEqBase.jl
The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
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Project mention: auto-07p VS BifurcationKit.jl - a user suggested alternative | libhunt.com/r/auto-07p | 2024-02-11
A Julia alternative with methods for automatic bifurcation diagrams. I can work for very large systems.
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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).
Julia Pde discussion
Julia Pde related posts
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Please help me make a case to implement Julia in enterprise
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Mathematically Modelling a PRV
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How do I force it to answer in a decimal format.
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Julia 1.7 has been released
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Why are NonlinearSolve.jl and DiffEqOperators.jl incompatible with the latest versions of ModelingToolkit and Symbolics!!!? Symbolics and ModelingToolkit are heavily downgraded when those packages are added.
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A note from our sponsor - SaaSHub
www.saashub.com | 23 Jan 2025
Index
What are some of the best open-source Pde projects in Julia? This list will help you:
| # | Project | Stars |
|---|---|---|
| 1 | DifferentialEquations.jl | 2,894 |
| 2 | ModelingToolkit.jl | 1,452 |
| 3 | NeuralPDE.jl | 1,022 |
| 4 | DiffEqBase.jl | 320 |
| 5 | BifurcationKit.jl | 318 |
| 6 | MethodOfLines.jl | 169 |
| 7 | JFVM.jl | 43 |
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