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223

2.8k

other

58

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

1,384 commits to master branch, last one about a month ago

deepxde lululxvi

712

2.5k

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

1,182 commits to master branch, last one 14 hours ago

SciMLBook SciML

330

1.8k

unknown

67

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

352 commits to master branch, last one 2 months ago

ModelingToolkit.jl SciML

196

1.4k

other

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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

5,590 commits to master branch, last one 12 hours ago

NeuralPDE.jl SciML

196

923

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

2,465 commits to master branch, last one 2 days ago

DiffEqFlux.jl SciML

151

847

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

1,867 commits to master branch, last one 11 days ago

SciMLTutorials.jl SciML

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other

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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 9 months ago

Optimization.jl SciML

75

688

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

1,882 commits to master branch, last one 2 days ago

OrdinaryDiffEq.jl SciML

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519

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

7,623 commits to master branch, last one 9 hours ago

diffeqpy SciML

39

507

mit

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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

199 commits to master branch, last one 3 months ago

Catalyst.jl SciML

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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

3,924 commits to master branch, last one 10 days ago

DataDrivenDiffEq.jl SciML

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402

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

1,042 commits to master branch, last one 20 days ago

Surrogates.jl SciML

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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

1,187 commits to master branch, last one 10 days ago

SciMLSensitivity.jl SciML

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other

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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

3,131 commits to master branch, last one 13 days ago

18S096SciML mitmath

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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

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

3,311 commits to master branch, last one 8 days ago

SciMLBenchmarks.jl SciML

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300

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

2,773 commits to master branch, last one 2 days 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

ComponentArrays.jl jonniedie

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281

mit

3

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

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

DiffEqGPU.jl SciML

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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 about a month ago

best-of-atomistic-machine-learning JuDFTteam

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cc-by-sa-4.0

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🏆 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

283 commits to main branch, last one a day 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

2,359 commits to master branch, last one 15 hours ago

NeuralOperators.jl SciML

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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

Created 2021-05-19

439 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

2,256 commits to master branch, last one 2 months 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

1,409 commits to main branch, last one 13 days ago

universal_differential_equations ChrisRackauckas

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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

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

1,262 commits to master branch, last one 12 days 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

636 commits to master branch, last one 20 days ago

RecursiveArrayTools.jl SciML

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other

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Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

array sciml vector recursion scientific-machine-learning

Created 2016-10-30

1,123 commits to master branch, last one 12 days ago

Sundials.jl SciML

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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

1,025 commits to master branch, last one about a month ago