SciML Open Source Scientific Machine Learning

Repositories

• 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 16 39 21 2 Updated Jul 11, 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 20 95 8 2 Updated Jul 11, 2021

• DataDrivenDiffEq.jl

  Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
  Julia MIT 25 189 32 (5 issues need help) 1 Updated Jul 11, 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 88 663 113 (9 issues need help) 12 Updated Jul 11, 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 79 367 49 (6 issues need help) 5 Updated Jul 11, 2021

• SBMLToolkit.jl

  SBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkit

  systems-biology ode differential-equations chemical-reaction-networks sbml gillespie-algorithm quantitative-systems-pharmacology
  Julia MIT 0 3 0 0 Updated Jul 11, 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 29 100 49 1 Updated Jul 10, 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 58 175 55 (7 issues need help) 8 Updated Jul 10, 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 32 185 35 5 Updated Jul 9, 2021

• SciMLBase.jl

  The Base interface of the SciML ecosystem
  Julia MIT 18 22 14 1 Updated Jul 8, 2021

• MinimallyDisruptiveCurves.jl

  Finds relationships between the parameters of a mathematical model
  Julia MIT 0 17 0 0 Updated Jul 8, 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 30 103 6 0 Updated Jul 8, 2021

• LinearSolve.jl
  Julia MIT 0 3 1 0 Updated Jul 8, 2021

• 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 109 236 219 (15 issues need help) 28 Updated Jul 8, 2021

• DiffEqDocs.jl

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

  ode dde differential-equations sde dae neural-ode scientific-machine-learning
  TeX 175 132 12 0 Updated Jul 8, 2021

• DiffEqPhysics.jl

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

  fast ode differential-equations ordinary-differential-equations differentialequations hamiltonian second-order-differential-equations
  Julia 16 43 7 1 Updated Jul 8, 2021

• SciMLTutorialsOutput
  HTML 0 6 0 0 Updated Jul 8, 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
  CSS 96 479 14 5 Updated Jul 7, 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 13 106 15 3 Updated Jul 7, 2021

• SciMLBenchmarks.jl

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

  benchmark ode dde partial-differential-equations differential-equations differentialequations sde
  Julia MIT 26 134 19 3 Updated Jul 6, 2021

• LabelledArrays.jl

  Arrays which also have a label for each element for easy scientific machine learning (SciML)

  arrays scientific-machine-learning sciml
  Julia 10 66 12 1 Updated Jul 5, 2021

• DiffEqNoiseProcess.jl

  A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

  sde stochastic-processes brownian-motion wiener-process noise-processes scientific-machine-learning neural-sde
  Julia 18 33 7 0 Updated Jul 5, 2021

• CellMLToolkit.jl

  CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
  Julia 5 30 6 4 Updated Jul 5, 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 149 1,818 114 (1 issue needs help) 0 Updated Jul 5, 2021

• StochasticDiffEq.jl

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

  random stochastic noise differential-equations adaptive differentialequations sde
  Julia 37 138 76 (2 issues need help) 7 Updated Jul 5, 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 69 126 47 17 Updated Jul 4, 2021

• sciml.ai

  The SciML Scientific Machine Learning Software Organization Website

  machine-learning ode dde differential-equations sde dae franklin
  CSS MIT 20 28 2 0 Updated Jul 2, 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 26 194 24 1 Updated Jul 2, 2021

• Sundials.jl

  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

  julia clang ode ida differential-equations ordinary-differential-equations differentialequations
  Julia BSD-2-Clause 62 130 31 (1 issue needs help) 2 Updated Jun 30, 2021

• GlobalSensitivity.jl
  Julia MIT 5 12 12 0 Updated Jun 30, 2021