1. Ordinarydiffeq.jlHigh performance differential equation solvers for ordinary differential equations, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
2. Catalyst.jlChemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software
3. Galacticoptim.jlLocal, global, and beyond optimization for scientific machine learning (SciML)
4. Diffeqoperators.jlLinear operators for discretizations of differential equations and scientific machine learning (SciML)
5. Datadrivendiffeq.jlData driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
6. Differentialequations.jlMulti-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components
7. Stochasticdiffeq.jlSolvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
8. Surrogates.jlSurrogate modeling and optimization for scientific machine learning (SciML)
9. Diffeqdocs.jlDocumentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem
10. Diffeqbase.jlThe lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
11. Ode.jlAssorted basic Ordinary Differential Equation solvers for scientific machine learning (SciML)
12. Diffeqjump.jlBuild 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)
13. Autooffload.jlAutomatic GPU, TPU, FPGA, Xeon Phi, Multithreaded, Distributed, etc. offloading for scientific machine learning (SciML) and differential equations
14. Modelingtoolkit.jlA 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
15. Diffeqflux.jlUniversal 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
16. Scimltutorials.jlTutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
17. Neuralpde.jlPhysics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
18. DiffeqpySolving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization
19. sciml.aiThe SciML Scientific Machine Learning Software Organization Website
22. SciPyDiffEq.jlWrappers for the SciPy differential equation solvers for the SciML Scientific Machine Learning organization
23. PoissonRandom.jlFast Poisson Random Numbers in pure Julia for scientific machine learning (SciML)
24. Quadrature.jlA common interface for quadrature and numerical integration for the SciML scientific machine learning organization
25. RootedTrees.jlA collection of functionality around rooted trees to generate order conditions for Runge-Kutta methods in Julia for differential equations and scientific machine learning (SciML)
26. SciMLBenchmarks.jlBenchmarks for scientific machine learning (SciML) software and differential equation solvers
27. DiffEqNoiseProcess.jlA library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)
28. DiffEqGPU.jlGPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem
31. DiffEqPhysics.jlA library for building differential equations arising from physical problems for physics-informed and scientific machine learning (SciML)
32. DiffEqSensitivity.jlA 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.
33. SBMLToolkit.jlSBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkit
34. QuasiMonteCarlo.jlLightweight and easy generation of quasi-Monte Carlo sequences with a ton of different methods on one API for easy parameter exploration in scientific machine learning (SciML)
35. MuladdMacro.jlThis package contains a macro for converting expressions to use muladd calls and fused-multiply-add (FMA) operations for high-performance in the SciML scientific machine learning ecosystem
37. AutoOptimize.jlAutomatic optimization and parallelization for Scientific Machine Learning (SciML)
38. DiffEqDevTools.jlBenchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)
42. DiffEqCallbacks.jlA library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers
43. Sundials.jlJulia 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
44. CellMLToolkit.jlCellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
45. diffeqrSolving differential equations in R using DifferentialEquations.jl and the SciML Scientific Machine Learning ecosystem
46. DiffEqUncertainty.jlFast uncertainty quantification for scientific machine learning (SciML) and differential equations
47. MultiScaleArrays.jlA framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations