SciML Open Source Scientific Machine Learning
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StochasticDiffEq.jl
PublicSolvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystemDiffEqNoiseProcess.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)- A common interface for quadrature and numerical integration for the SciML scientific machine learning organization
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)DiffEqGPU.jl
PublicGPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystemPreallocationTools.jl
PublicTools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codesDiffEqBase.jl
PublicThe lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problemsLinearSolve.jl
PublicLinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.- The Base interface of the 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 equationsDiffEqFinancial.jl
PublicDifferential equation problem specifications and scientific machine learning for common financial modelsNonlinearSolve.jl
PublicHigh-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.CommonSolve.jl
PublicA common solve function for scientific machine learning (SciML) and beyondBridgeDiffEq.jl
PublicA thin wrapper over Bridge.jl for the SciML scientific machine learning common interface, enabling new methods for neural stochastic differential equations (neural SDEs)DASKR.jl
PublicInterface to DASKR, a differential algebraic system solver for the SciML scientific machine learning ecosystemDASSL.jl
PublicSolves stiff differential algebraic equations (DAE) using variable stepsize backwards finite difference formula (BDF) in 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.Sundials.jl
PublicJulia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA) in a SciML scientific machine learning enabled mannerOrgMaintenanceScripts.jl
PublicSciMLPublic.jl
Public- Fast and automatic structural identifiability software for ODE systems
ODEInterfaceDiffEq.jl
PublicDiffEqProblemLibrary.jl
PublicA library of premade problems for examples and testing differential equation solvers and other SciML scientific machine learning toolsDiffEqBayes.jl
PublicExtension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learningSciMLStructures.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.DataInterpolations.jl
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