Gridap.jl
FourierFlows.jl
Gridap.jl | FourierFlows.jl | |
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2 | - | |
716 | 206 | |
0.8% | -0.5% | |
9.5 | 7.0 | |
6 days ago | about 1 month ago | |
Julia | Julia | |
MIT License | MIT License |
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Gridap.jl
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Best free/open source CAS ?
Another I've been working on learning is Julia, which aims to use a syntax very similar to how you'd write it mathematically, and I like being able to include units in calculations using the unitful.jl package, and there are FEM packages available like Gridap.
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[Research] Input Arbitrary PDE -> Output Approximate Solution
PINN methods are absurdly slow (DeepXDE is about 10,000x slower than an ODE solver for example, while using implicit parallelism vs serial ODE solver) but they are flexible. So ModelingToolkit.jl has alternative options, like DiffEqOperators.jl takes the same specification and generates ODESystem and NonlinearSystem problems via finite difference discretizations (known as "method of lines"). There's a (pseudo-)spectral part of the interface coming relatively soon as well, with GridAP.jl integration for FEM coming soon. So this is made to be a universal arbitrary PDE -> approximate solution interface which is generic to the method and solving process.
FourierFlows.jl
We haven't tracked posts mentioning FourierFlows.jl yet.
Tracking mentions began in Dec 2020.
What are some alternatives?
dolfinx - Next generation FEniCS problem solving environment
DiffEqOperators.jl - Linear operators for discretizations of differential equations and scientific machine learning (SciML)
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.
ApproxFun.jl - Julia package for function approximation
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
NeuralPDE.jl - Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
Krotov.jl - Julia implementation of Krotov's method for quantum optimal control
julia - The Julia Programming Language