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- The Base interface of the SciML ecosystem
- High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.
ADTypes.jl
PublicCommonSolve.jl
PublicA common solve function for scientific machine learning (SciML) and beyondSciMLBenchmarksOutput
PublicSciML-Bench Benchmarks for Scientific Machine Learning (SciML), Physics-Informed Machine Learning (PIML), and Scientific AI PerformanceSciMLBenchmarks.jl
PublicScientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R- Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
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 equationsOrdinaryDiffEq.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 simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
DiffEqGPU.jl
PublicGPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystemOptimizationBase.jl
PublicDiffEqBase.jl
PublicThe lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problemsGlobalSensitivity.jl
PublicRobust, Fast, and Parallel Global Sensitivity Analysis (GSA) in JuliaDiffEqDocs.jl
PublicDocumentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystemDataInterpolations.jl
PublicCatalyst.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.diffeqpy
PublicSolving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organizationOptimization.jl
PublicMathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.sciml.ai
PublicThe SciML Scientific Machine Learning Software Organization WebsiteDiffEqParamEstim.jl
PublicEasy scientific machine learning (SciML) parameter estimation with pre-built loss functionsDiffEqNoiseProcess.jl
PublicA library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)- Fast and automatic structural identifiability software for ODE systems
SBMLToolkit.jl
PublicSBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkitBoundaryValueDiffEq.jl
PublicBoundary value problem (BVP) solvers for scientific machine learning (SciML)QuasiMonteCarlo.jl
PublicLightweight 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)- Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices
ReservoirComputing.jl
PublicReservoir computing utilities for scientific machine learning (SciML)