SciML Open Source Scientific Machine Learning

Repositories

• 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 51 54 41 9 Updated Jul 26, 2020

• 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 28 123 13 2 Updated Jul 26, 2020

• 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 23 39 32 4 Updated Jul 26, 2020

• 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 68 298 36 (2 issues need help) 9 Updated Jul 26, 2020

• 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 57 224 10 2 Updated Jul 25, 2020

• 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 16 64 8 (1 issue needs help) 2 Updated Jul 25, 2020

• 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 129 76 6 0 Updated Jul 25, 2020

• sciml.ai

  The SciML Scientific Machine Learning Software Organization Website

  machine-learning ode dde differential-equations sde dae franklin
  CSS MIT 13 16 1 1 Updated Jul 25, 2020

• 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 14 23 20 0 Updated Jul 25, 2020

• ReservoirComputing.jl

  Reservoir computing utilities for scientific machine learning (SciML)

  machine-learning rnn differential-equations echo-state-networks reservoir-computing scientific-machine-learning sciml
  Julia MIT 2 27 2 0 Updated Jul 25, 2020

• 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 2 24 9 1 Updated Jul 25, 2020

• AutoOptimize.jl

  Automatic optimization and parallelization for Scientific Machine Learning (SciML)

  gpu high-performance-computing surrogates scientific-machine-learning sciml
  Julia MIT 1 19 3 0 Updated Jul 25, 2020

• 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 19 68 18 1 Updated Jul 25, 2020

• diffeqr

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

  ode dde differential-equations ordinary-differential-equations sde dae stochastic-differential-equations
  R 4 52 3 1 Updated Jul 25, 2020

• 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 21 94 18 1 Updated Jul 25, 2020

• 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 77 132 191 (13 issues need help) 20 Updated Jul 25, 2020

• 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 28 77 59 (3 issues need help) 4 Updated Jul 25, 2020

• 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 40 247 79 (1 issue needs help) 10 Updated Jul 25, 2020

• DiffEqCallbacks.jl

  A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

  callback ode dde differential-equations sde dae neural-ode
  Julia 19 18 9 1 Updated Jul 23, 2020

• 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 10 15 3 0 Updated Jul 22, 2020

• RebuildAction

  CI configs for content rebuilding
  JavaScript MIT 0 0 2 0 Updated Jul 21, 2020

• DiffEqUncertainty.jl

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

  differential-equations differentialequations uncertainty-quantification uq scientific-machine-learning sciml
  Julia 10 9 6 1 Updated Jul 21, 2020

• ArrayInterface.jl

  Designs for new Base array interface primitives, used widely through scientific machine learning (SciML) and other organizations

  interface primitives arrays base scientific-machine-learning sciml composibility
  Julia MIT 9 22 13 0 Updated Jul 21, 2020

• 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 34 82 48 6 Updated Jul 19, 2020

• DataDrivenDiffEq.jl

  Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
  Julia MIT 9 51 20 (3 issues need help) 13 Updated Jul 19, 2020

• 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 54 112 16 (1 issue needs help) 1 Updated Jul 19, 2020

• StochasticDelayDiffEq.jl

  Stochastic delay differential equations (SDDE) solvers for the SciML scientific machine learning ecosystem

  differential-equations scientific-machine-learning sciml sdde
  Julia MIT 1 10 3 6 Updated Jul 19, 2020

• GeometricIntegratorsDiffEq.jl

  Wrappers for GeometricIntegrators.jl into the SciML common interface for scientific machine learning (SciML)

  differential-equations geometric-algorithms scientific-machine-learning sciml geometricintegrators
  Julia 5 3 0 1 Updated Jul 19, 2020

• DelayDiffEq.jl

  Delay differential equation solvers for the SciML scientific machine learning ecosystem

  julia dde differential-equations adaptive differentialequations delay-differential-equations solvers
  Julia 13 16 9 0 Updated Jul 19, 2020

• 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 115 1,311 80 (1 issue needs help) 0 Updated Jul 19, 2020