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

ode pde pinn sciml scientific-ai scientific-ml neural-network neural-networks machine-learning differentialequations differential-equations scientific-machine-learning neural-differential-equations partial-differential-equations ordinary-differential-equations

Created 2017-03-14

2,727 commits to master branch, last one 6 days ago

DiffEqFlux.jl SciML

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mit

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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

pinn stiff-ode neural-dde neural-ode neural-pde neural-sde neural-sdes scientific-ai scientific-ml neural-networks differentialequations differential-equations neural-jump-diffusions physics-informed-learning scientific-machine-learning delay-differential-equations neural-differential-equations partial-differential-equations ordinary-differential-equations stochastic-differential-equations

Created 2018-12-26

1,927 commits to master branch, last one 6 days ago

MethodOfLines.jl SciML

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mit

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Automatic Finite Difference PDE solving with Julia SciML

pde julia sciml scientific-ml parallel-computing symbolic-computation finite-difference-method high-performance-computing partial-differential-equations

Created 2021-12-13

1,208 commits to master branch, last one about a month ago

JumpProcesses.jl SciML

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Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)

ode sde ssa sciml gillespie neural-ode stochastic scientific-ai scientific-ml jump-diffusion differential-equations stochastic-jump-equations scientific-machine-learning hybrid-differential-equation neural-differential-equations

Created 2017-02-04

1,556 commits to master branch, last one about a month ago

DiffEqBayes.jl SciML

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Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning

dae dde ode sde stan julia sciml neural-ode scientific-ai scientific-ml bayesian-inference differential-equations probabilistic-programming scientific-machine-learning neural-differential-equations ordinary-differential-equations stochastic-differential-equations

Created 2017-07-24

800 commits to master branch, last one about a month ago

MultiScaleArrays.jl SciML

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A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations

dae dde ode sde julia sciml models multiscale neural-ode scientific-ai scientific-ml differentialequations differential-equations automatic-differentiation scientific-machine-learning hybrid-differential-equations neural-differential-equations

Created 2016-10-20

308 commits to master branch, last one 25 days ago