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NonlinearSolve.jl
PublicHigh-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.SciMLSensitivity.jl
PublicA 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, SDEs, DDEs, DAEs, etc.SciMLStructures.jl
PublicBaseModelica.jl
Public- Reservoir computing utilities for scientific machine learning (SciML)
- A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
- Fast and automatic structural identifiability software for ODE systems
- The Base interface of the SciML ecosystem
- 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.
ModelingToolkit.jl
PublicAn 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 automated transformations of differential equationsDiffEqBase.jl
PublicThe lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems- Symbolic-Numeric Neural DAEs and Universal Differential Equations for Automating Scientific Machine Learning (SciML)
CommonSolve.jl
PublicA common solve function for scientific machine learning (SciML) and beyondDiffEqDocs.jl
PublicDocumentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystemsciml.ai
PublicThe SciML Scientific Machine Learning Software Organization WebsiteDiffEqDevTools.jl
PublicBenchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)OrdinaryDiffEq.jl
PublicHigh performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)- A standard library of components to model the world and beyond
NeuralPDE.jl
PublicPhysics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulationDataDrivenDiffEq.jl
PublicData driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organizationCatalyst.jl
PublicChemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.SurrogatesBase.jl
PublicExponentialUtilities.jl
PublicFast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.DiffEqProblemLibrary.jl
PublicA library of premade problems for examples and testing differential equation solvers and other SciML scientific machine learning toolsBoundaryValueDiffEq.jl
PublicBoundary value problem (BVP) solvers for scientific machine learning (SciML)DataInterpolations.jl
PublicDelayDiffEq.jl
PublicDelay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.StochasticDiffEq.jl
PublicSolvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem