SciML Open Source Scientific Machine Learning

Repositories

• OrdinaryDiffEq.jl

  High performance differential equation solvers for ordinary differential equations, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

  high-performance ode differential-equations ordinary-differential-equations adaptive differentialequations event-handling
  Julia 101 202 213 (15 issues need help) 28 Updated Apr 22, 2021

• DiffEqOperators.jl

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

  julia partial-differential-equations differential-equations fdm differentialequations sde pde
  Julia 50 159 45 (8 issues need help) 9 Updated Apr 22, 2021

• DiffEqSensitivity.jl

  A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, and more for ODEs, SDEs, DDEs, DAEs, etc.

  ode dde differentialequations sde dae sensitivity-analysis adjoint
  Julia 28 86 50 0 Updated Apr 22, 2021

• DiffEqFlux.jl

  Universal neural differential equations with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods

  neural-networks partial-differential-equations differential-equations ordinary-differential-equations differentialequations stochastic-differential-equations delay-differential-equations
  Julia MIT 97 500 55 (2 issues need help) 3 Updated Apr 22, 2021

• SciMLBenchmarks.jl

  Benchmarks for scientific machine learning (SciML) software and differential equation solvers

  benchmark ode dde partial-differential-equations differential-equations differentialequations sde
  HTML MIT 23 120 21 1 Updated Apr 22, 2021

• DiffEqBayes.jl

  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

  julia ode dde probabilistic-programming differential-equations stan ordinary-differential-equations
  Julia 21 94 5 5 Updated Apr 22, 2021

• ModelingToolkit.jl

  A 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

  computer-algebra julia ode symbolic dde differential-equations ordinary-differential-equations
  Julia 75 590 79 (11 issues need help) 9 Updated Apr 22, 2021

• Catalyst.jl

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

  biology dsl systems-biology ode reaction-network differential-equations sde
  Julia 32 170 28 3 Updated Apr 21, 2021

• DiffEqBase.jl

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

  ode dde partial-differential-equations differential-equations ordinary-differential-equations differentialequations sde
  Julia 69 109 48 14 Updated Apr 21, 2021

• SciMLBase.jl

  The Base interface of the SciML ecosystem
  Julia MIT 14 17 7 0 Updated Apr 21, 2021

• DifferentialEquations.jl

  Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components

  python r julia ode dde partial-differential-equations dynamical-systems
  Julia 146 1,730 112 (1 issue needs help) 0 Updated Apr 21, 2021

• DiffEqJump.jl

  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)

  ssa ode stochastic differential-equations sde gillespie jump-diffusion
  Julia 17 34 19 1 Updated Apr 20, 2021

• NeuralPDE.jl

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

  neural-network ode neural-networks partial-differential-equations differential-equations ordinary-differential-equations differentialequations
  Julia 72 310 43 (5 issues need help) 4 Updated Apr 20, 2021

• SciMLTutorials.jl

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

  python r julia ode dde partial-differential-equations differential-equations
  HTML 89 429 15 21 Updated Apr 20, 2021

• Surrogates.jl

  Surrogate modeling and optimization for scientific machine learning (SciML)

  high-performance-computing surrogate surrogate-models surrogate-based-optimization surrogates scientific-machine-learning sciml
  Julia 28 125 17 4 Updated Apr 19, 2021

• AutoOffload.jl

  Automatic GPU, TPU, FPGA, Xeon Phi, Multithreaded, Distributed, etc. offloading for scientific machine learning (SciML) and differential equations

  fpga gpu multiprocessing multithreading distributed differential-equations xeon-phi
  Julia MIT 2 22 5 1 Updated Apr 19, 2021

• CellMLToolkit.jl

  CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
  Julia 4 23 4 4 Updated Apr 18, 2021

• sciml.ai

  The SciML Scientific Machine Learning Software Organization Website

  machine-learning ode dde differential-equations sde dae franklin
  CSS MIT 20 26 2 0 Updated Apr 17, 2021

• RecursiveArrayTools.jl

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

  vector array recursion scientific-machine-learning sciml
  Julia 26 89 7 0 Updated Apr 17, 2021

• DataDrivenDiffEq.jl

  Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
  Julia MIT 22 165 34 (5 issues need help) 11 Updated Apr 17, 2021

• DelayDiffEq.jl

  Delay differential equation solvers for the SciML scientific machine learning ecosystem

  julia dde differential-equations adaptive differentialequations delay-differential-equations solvers
  Julia 15 27 11 0 Updated Apr 17, 2021

• DiffEqGPU.jl

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

  gpu ode dde differential-equations differentialequations sde dae
  Julia MIT 12 95 14 1 Updated Apr 12, 2021

• ExponentialUtilities.jl

  Utility functions for exponential integrators for the SciML scientific machine learning ecosystem

  high-performance julia exponential krylov krylov-methods krylov-subspace-methods scientific-machine-learning
  Julia 14 30 12 1 Updated Apr 12, 2021

• GalacticOptim.jl

  Local, global, and beyond optimization for scientific machine learning (SciML)

  optimization automatic-differentiation global-optimization algorithmic-differentiation scientific-machine-learning sciml local-optimization
  Julia MIT 20 165 21 2 Updated Apr 11, 2021

• NBodySimulator.jl

  A differentiable simulator for scientific machine learning (SciML) with N-body problems, including astrophysical and molecular dynamics

  automatic-differentiation molecular-dynamics molecular-dynamics-simulation geometric-algorithms algorithmic-differentiation differentiable-programming symbolic-integration
  Julia 13 81 6 2 Updated Apr 10, 2021

• AutoOptimize.jl

  Automatic optimization and parallelization for Scientific Machine Learning (SciML)

  gpu high-performance-computing surrogates scientific-machine-learning sciml
  Julia MIT 4 60 4 0 Updated Apr 10, 2021

• DiffEqUncertainty.jl

  Uncertainty quantification for scientific machine learning (SciML) and differential equations

  differential-equations differentialequations uncertainty-quantification uq scientific-machine-learning sciml
  Julia 14 40 19 2 Updated Apr 8, 2021

• RuntimeGeneratedFunctions.jl

  Functions generated at runtime without world-age issues or overhead
  Julia MIT 9 53 4 1 Updated Apr 6, 2021

• FEniCS.jl

  A scientific machine learning (SciML) wrapper for the FEniCS Finite Element library in the Julia programming language

  julia partial-differential-equations differential-equations differentialequations pde fenics scientific-machine-learning
  Julia 19 50 12 4 Updated Apr 5, 2021

• DASKR.jl

  Interface to DASKR, a differential algebraic system solver for the SciML scientific machine learning ecosystem

  differential-equations differentialequations dae differential-algebraic daskr differential-algebraic-equations scientific-machine-learning
  Julia 15 9 3 (1 issue needs help) 1 Updated Apr 4, 2021