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230

2.9k

other

56

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equation...

Created 2016-05-11

1,400 commits to master branch, last one a day ago

deepxde lululxvi

755

2.7k

lgpl-2.1

56

A library for scientific machine learning and physics-informed learning

jax pde pinn paddle pytorch deeponet operator tensorflow deep-learning neural-network multi-fidelity-data physics-informed-learning scientific-machine-learning

Created 2019-02-08

1,205 commits to master branch, last one 14 hours ago

SciMLBook SciML

335

1.9k

unknown

66

Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)

sciml neural-ode neural-sde parallelism gpu-computing lecture-notes neural-networks stiff-equations numerical-methods scientific-simulators differential-equations performance-engineering scientific-machine-learning

Created 2019-08-29

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

ModelingToolkit.jl SciML

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

6,439 commits to master branch, last one 20 hours ago

NeuralPDE.jl SciML

198

991

other

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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

2,712 commits to master branch, last one a day ago

DiffEqFlux.jl SciML

157

870

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

1,919 commits to master branch, last one a day ago

Optimization.jl SciML

83

725

mit

15

Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable inte...

julia sciml optimization hacktoberfest local-optimization convex-optimization global-optimization nonlinear-optimization automatic-differentiation mixed-integer-programming algorithmic-differentiation scientific-machine-learning derivative-free-optimization

Created 2020-05-06

2,095 commits to master branch, last one 2 days ago

SciMLTutorials.jl SciML

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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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555

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

9,221 commits to master branch, last one a day ago

diffeqpy SciML

39

541

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

202 commits to master branch, last one 27 days ago

Catalyst.jl SciML

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463

other

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Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

dsl ode sde julia sciml biology rate-laws simulation systems-biology reaction-network chemical-reactions gillespie-algorithm differential-equations systems-biology-simulation scientific-machine-learning

Created 2017-02-06

4,561 commits to master branch, last one 3 days ago

DataDrivenDiffEq.jl SciML

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407

mit

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Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization

ode julia sciml differential-equations scientific-machine-learning

Created 2019-10-04

1,064 commits to master branch, last one about a month ago

best-of-atomistic-machine-learning JuDFTteam

37

388

cc-by-sa-4.0

10

🏆 A ranked list of awesome atomistic machine learning projects ⚛️🧬💎.

ai4science awesome-list best-of-list drug-discovery condensed-matter surrogate-models quantum-chemistry molecular-dynamics materials-discovery electronic-structure scientific-computing materials-informatics interatomic-potentials computational-chemistry density-functional-theory atomistic-machine-learning scientific-machine-learning computational-materials-science

Created 2023-06-09

392 commits to main branch, last one 12 days ago

Surrogates.jl SciML

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335

other

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Surrogate modeling and optimization for scientific machine learning (SciML)

julia sciml surrogate surrogates optimization surrogate-models differential-equations automatic-differentiation high-performance-computing scientific-machine-learning surrogate-based-optimization

Created 2019-05-08

1,212 commits to master branch, last one 17 days ago

SciMLSensitivity.jl SciML

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A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, S...

dae dde ode sde sciml adjoint neural-ode neural-sde hacktoberfest backpropogation sensitivity-analysis differentialequations differential-equations scientific-machine-learning

Created 2016-11-02

3,414 commits to master branch, last one a day ago

DiffEqBase.jl SciML

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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

3,449 commits to master branch, last one 9 days ago

SciMLBenchmarks.jl SciML

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mit

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Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R

ai dae jax ode pde sde julia sciml matlab python pytorch benchmark neural-ode ai-for-science differentialequations differential-equations scientific-machine-learning nerual-differential-equations partial-differential-equations

Created 2016-10-31

3,031 commits to master branch, last one 17 days ago

18S096SciML mitmath

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306

unknown

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18.S096 - Applications of Scientific Machine Learning

sciml neural-ode lecture-notes neural-networks differential-equations scientific-machine-learning partial-differential-equations

Created 2020-01-05

21 commits to master branch, last one 2 years ago

ComponentArrays.jl jonniedie

35

291

mit

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Arrays with arbitrarily nested named components.

array julia arrays controls modeling neural-ode simulation named-tuples optimization control-systems neural-networks machine-learning dynamical-systems modeling-language simulation-modeling controls-and-dynamics differentialequations differential-equations scientific-machine-learning

Created 2020-04-10

497 commits to main branch, last one about a month ago

DiffEqGPU.jl SciML

29

285

mit

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GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem

dae dde gpu ode sde sciml neural-ode gpu-parallelism differentialequations differential-equations scientific-machine-learning neural-differential-equations

Created 2019-06-24

907 commits to master branch, last one 5 months ago

DiffEqOperators.jl SciML

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Linear operators for discretizations of differential equations and scientific machine learning (SciML)

fdm pde sde julia sciml neural-ode matrix-free differentialequations differential-equations finite-difference-method scientific-machine-learning neural-differential-equations partial-differential-equations stochastic-differential-equations

This repository has been archived (exclude archived)

Created 2017-05-16

1,482 commits to master branch, last one about a year ago

DiffEqDocs.jl SciML

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Documentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem

dae dde ode sde sciml neural-ode hacktoberfest differential-equations physics-informed-learning scientific-machine-learning

Created 2016-11-01

2,411 commits to master branch, last one 14 days ago

FluxNeuralOperators.jl SciML

41

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mit

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DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia

gnn pde julia deeponet operator deep-learning fourier-transform differential-equations fourier-neural-operator automatic-differentiation scientific-machine-learning partial-differential-equations

This repository has been archived (exclude archived)

Created 2021-05-19

440 commits to main branch, last one about a month ago

StochasticDiffEq.jl SciML

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Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

ito rde sde rode sode noise sciml random solvers adaptive stochastic stratonovich hacktoberfest stochastic-processes differentialequations differential-equations scientific-machine-learning random-differential-equations stochastic-differential-equations

Created 2016-10-22

2,321 commits to master branch, last one 2 days ago

LinearSolve.jl SciML

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LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

amg gpu julia sciml multigrid factorization newton-krylov krylov-methods linear-algebra linear-solvers preconditioners distributed-computing differential-equations scientific-machine-learning

Created 2021-07-02

1,487 commits to main branch, last one 2 days ago

NonlinearSolve.jl SciML

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mit

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High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

julia sciml bracketing equilibrium steady-state factorization newton-krylov newton-method sparse-matrix newton-raphson sparse-matrices nonlinear-equations differential-equations deep-equilibrium-models high-performance-computing scientific-machine-learning

Created 2020-08-30

1,981 commits to master branch, last one 18 hours ago

KoopmanLab Koopman-Laboratory

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gpl-3.0

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A library for Koopman Neural Operator with Pytorch.

koopman pytorch deep-learning neural-network neural-operator scientific-machine-learning

Created 2022-12-21

144 commits to main branch, last one about a month ago

Integrals.jl SciML

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mit

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A common interface for quadrature and numerical integration for the SciML scientific machine learning organization

julia sciml julialang quadrature integration julia-language numerical-integration automatic-differentiation differentiable-programming algorithmic-differentiation scientific-machine-learning

Created 2019-08-08

643 commits to master branch, last one 2 months ago

universal_differential_equations ChrisRackauckas

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219

mit

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Repository for the Universal Differential Equations for Scientific Machine Learning paper, describing a computational basis for high performance SciML

sciml neural-ode scientific-machine-learning universal-differential-equations

Created 2019-12-16

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

SciMLStyle SciML

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216

mit

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A style guide for stylish Julia developers

ode julia sciml style scientific-machine-learning

Created 2022-05-17

82 commits to main branch, last one 6 months ago