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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 equations- A standard library of components to model the world and beyond
- CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.
- High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.
- Mathematical 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.
- Tools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codes
OptimizationBase.jl
PublicSciMLStructures.jl
Public- Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.
- Implementation of the finite volume method in 1D.
- Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
- A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications
- Symbolic-Numeric Universal Differential Equations for Automating Scientific Machine Learning (SciML)
CommonSolve.jl
PublicA common solve function for scientific machine learning (SciML) and beyondNeuralLyapunov.jl
Public- Solvers for steady states in scientific machine learning (SciML)
ADTypes.jl
PublicSciMLBenchmarks.jl
PublicScientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R- SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals
SciMLBase.jl
PublicThe Base interface of the SciML ecosystemMethodOfLines.jl
PublicAutomatic Finite Difference PDE solving with Julia SciML- Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices
SurrogatesBase.jl
PublicSciMLBook
PublicParallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)MathML.jl
Public- The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
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.