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209

1.4k

other

28

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 ...

Created 2018-02-27

6,565 commits to master branch, last one 17 hours ago

awesome-neural-ode Zymrael

151

1.3k

mit

55

A collection of resources regarding the interplay between differential equations, deep learning, dynamical systems, control and numerical methods.

ode ode-solver root-finding deep-learning implicit-models dynamical-systems dynamical-modeling hamiltonian-dynamics ordinary-differential-equations

Created 2019-07-14

117 commits to master branch, last one 2 months ago

NeuralPDE.jl SciML

200

995

other

36

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

2,721 commits to master branch, last one 2 days ago

mpmath mpmath

184

966

bsd-3-clause

43

Python library for arbitrary-precision floating-point arithmetic

python plotting floating-point multiprecision complex-numbers numerical-methods special-functions arbitrary-precision numerical-integration numerical-optimization ordinary-differential-equations

Created 2011-12-07

1,979 commits to master branch, last one 15 days ago

DiffEqFlux.jl SciML

157

871

mit

31

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

1,923 commits to master branch, last one 3 days ago

SciMLTutorials.jl SciML

127

720

other

24

Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.

r dae dde ode pde sde julia sciml python neural-ode hacktoberfest differentialequations differential-equations scientific-machine-learning neural-differential-equations partial-differential-equations ordinary-differential-equations stochastic-differential-equations

Created 2016-10-31

1,297 commits to master branch, last one about a year ago

OrdinaryDiffEq.jl SciML

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559

other

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High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning ...

ode julia sciml adaptive hacktoberfest event-handling high-performance differentialequations differential-equations scientific-machine-learning ordinary-differential-equations

Created 2016-10-22

9,315 commits to master branch, last one 21 hours ago

diffeqpy SciML

41

542

mit

21

Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization

dae dde ode sde sdes numba sciml differentialequations differential-equations scientific-machine-learning delay-differential-equations ordinary-differential-equations differential-algebraic-equations stochastic-differential-equations

Created 2018-04-21

212 commits to master branch, last one 19 hours ago

DiffEqBase.jl SciML

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other

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

dae dde ode pde sde sciml neural-ode hacktoberfest differentialequations differential-equations scientific-machine-learning delay-differential-equations neural-differential-equations partial-differential-equations ordinary-differential-equations differential-algebraic-equations stochastic-differential-equations

Created 2016-10-20

3,466 commits to master branch, last one 3 days ago

Sundials.jl SciML

78

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bsd-2-clause

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Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA) in a SciML scientific machine learning enabled manner

Created 2013-03-12

1,046 commits to master branch, last one 13 days ago

p4pdes bueler

71

184

mit

21

C and Python examples from my book on using PETSc and Firedrake to solve PDEs

c petsc krylov python advection firedrake multigrid newtons-method supercomputing fluid-mechanics preconditioning finite-difference parallel-computing scientific-computing finite-element-methods variational-inequality partial-differential-equations ordinary-differential-equations

Created 2014-09-21

2,460 commits to master branch, last one 2 months ago

diffeqr SciML

15

141

other

11

Solving differential equations in R using DifferentialEquations.jl and the SciML Scientific Machine Learning ecosystem

dae dde ode sde sciml differential-equations scientific-machine-learning delay-differential-equations ordinary-differential-equations differential-algebraic-equations stochastic-differential-equations

Created 2018-04-19

174 commits to master branch, last one 19 hours ago

SciMLBase.jl SciML

101

141

mit

12

The Base interface of the SciML ecosystem

dae dde ode sde julia sciml differentialequations scientific-machine-learning ordinary-differential-equations

Created 2021-01-26

2,616 commits to master branch, last one 21 hours ago

Numerical-Analysis-Python john-s-butler-dit

37

135

mit

4

Python notebooks for Numerical Analysis

colab runge-kutta numerical-analysis partial-differential-equations ordinary-differential-equations

Created 2019-08-22

207 commits to master branch, last one about a year ago

DiffEqBayes.jl SciML

29

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other

13

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 21 days ago

auto-07p auto-07p

48

121

unknown

22

AUTO is a publicly available software for continuation and bifurcation problems in ordinary differential equations originally written in 1980 and widely used in the dynamical systems community.

ode dynamical-systems ordinary-differential-equations

Created 2017-09-19

1,969 commits to master branch, last one 7 months ago

ModelingToolkitStandardLibrary.jl SciML

39

121

mit

11

A standard library of components to model the world and beyond

ode sde julia sciml acausal modelica blockmodels scientific-computing differential-equations scientific-machine-learrning ordinary-differential-equations

Created 2021-11-02

952 commits to main branch, last one 3 days ago

sunode pymc-devs

10

110

mit

20

Solve ODEs fast, with support for PyMC

pymc autodiff sundials ordinary-differential-equations

Created 2019-08-08

162 commits to master branch, last one 6 months ago

numerical-methods-fortran planelles20

20

97

gpl-2.0

7

Solving linear, nonlinear equations, ordinary differential equations, ... using numerical methods in fortran

ode sde fortran integral plot-fortran linear-equations numerical-methods nonlinear-equations quadrature-integration non-uniform-random-variate ordinary-differential-equations stochastic-differential-equations

Created 2017-01-19

93 commits to master branch, last one 3 years ago

pyodesys bjodah

7

93

bsd-2-clause

9

∫ Straightforward numerical integration of systems of ordinary differential equations

sympy code-generation numerical-codes initial-value-problem symbolic-manipulation ordinary-differential-equations

Created 2015-09-25

608 commits to master branch, last one 4 months ago

FasterNeuralDiffEq patrick-kidger

10

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apache-2.0

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Code for "'Hey, that's not an ODE:' Faster ODE Adjoints via Seminorms" (ICML 2021)

pytorch deep-learning machine-learning dynamical-systems numerical-methods numerical-analysis deep-neural-networks differential-equations neural-differential-equations ordinary-differential-equations controlled-differential-equations

Created 2020-08-13

23 commits to master branch, last one 3 years ago

deep_learning_for_dynamical_systems clegaard

19

79

unknown

6

This repository has no description...

pytorch deep-learning dynamical-systems numerical-simulation scientific-machine-learning partial-differential-equations ordinary-differential-equations physics-informed-neural-networks

Created 2021-08-17

26 commits to main branch, last one about a year ago

OptimalControl.jl control-toolbox

8

70

mit

3

Model and solve optimal control problems in Julia

julia geometry optimization control-systems optimal-control numerical-methods nonlinear-equations differential-geometry optimization-algorithms quantum-optimal-control differentiable-programming ordinary-differential-equations

Created 2022-09-25

1,034 commits to main branch, last one about a month ago

ode-solvers srenevey

27

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bsd-3-clause

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Numerical methods to solve ordinary differential equations in Rust.

odes ode-solver rust-crate ordinary-differential-equations

Created 2018-09-10

89 commits to main branch, last one 25 days ago

DiffEqParamEstim.jl SciML

34

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other

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Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions

dae dde ode sde estimation neural-ode scientfic-ml scientific-ai parameter-estimation differentialequations differential-equations ordinary-differential-equations differential-algebraic-equations stochastic-differential-equations

Created 2016-10-28

751 commits to master branch, last one 3 days ago

GlobalSensitivity.jl SciML

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mit

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Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia

gsa ode efast julia sciml julialang sobol-method morris-method julia-language sensitivity-analysis differential-equations global-sensitivity-analysis scientific-machine-learning ordinary-differential-equations

Created 2020-11-10

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

DiffEqPhysics.jl SciML

19

50

other

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A library for building differential equations arising from physical problems for physics-informed and scientific machine learning (SciML)

ode fast sciml hamiltonian differentialequations differential-equations scientific-machine-learning ordinary-differential-equations second-order-differential-equations

Created 2017-04-14

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

integrator woodward

0

33

mit

4

A numerical integrator written in Elixir for the solution of sets of non-stiff ordinary differential equations (ODEs).

nx odes elixir elixir-nx numerical ode-solver runge-kutta dormand-prince bogacki-shampine adaptive-stepsize runge-kutta-methods runge-kutta-adaptive-step-size ordinary-differential-equations

Created 2023-04-01

417 commits to main branch, last one a day ago