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Catalyst.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.NeuralPDE.jl
PublicPhysics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation- An 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 equations
- Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.
FiniteVolumeMethod.jl
PublicSolver for two-dimensional conservation equations using the finite volume method in Julia.- SciML-Bench Benchmarks for Scientific Machine Learning (SciML), Physics-Informed Machine Learning (PIML), and Scientific AI Performance
SciMLBase.jl
PublicThe Base interface of the SciML ecosystemDataInterpolations.jl
PublicReservoirComputing.jl
PublicReservoir computing utilities for scientific machine learning (SciML)DiffEqBase.jl
PublicThe lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problemsSciMLBenchmarks.jl
PublicScientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R- A standard library of components to model the world and beyond
SBMLToolkit.jl
PublicSBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkitOrdinaryDiffEq.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)BoundaryValueDiffEq.jl
PublicBoundary value problem (BVP) solvers for scientific machine learning (SciML)MethodOfLines.jl
PublicAutomatic Finite Difference PDE solving with Julia SciML- A general interface for symbolic indexing of SciML objects used in conjunction with Domain-Specific Languages
NeuralLyapunov.jl
PublicDiffEqDevTools.jl
PublicBenchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)- A 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.
SurrogatesBase.jl
PublicOptimizationBase.jl
PublicLineSearch.jl
Public- Surrogate modeling and optimization for scientific machine learning (SciML)
SciMLDocs
PublicGlobal documentation for the Julia SciML Scientific Machine Learning OrganizationQuasiMonteCarlo.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
SciMLOperators.jl
PublicSciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia