SciML Open Source Scientific Machine Learning
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NeuralLyapunov.jl
PublicHighDimPDE.jl
PublicA Julia package for Deep Backwards Stochastic Differential Equation (Deep BSDE) and Feynman-Kac methods to solve high-dimensional PDEs without the curse of dime…DiffEqDocs.jl
PublicDocumentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem- High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov suppo…
BoundaryValueDiffEq.jl
PublicBoundary value problem (BVP) solvers for scientific machine learning (SciML)PreallocationTools.jl
PublicTools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codes- A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimiz…
DiffEqGPU.jl
PublicGPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystemCorleone.jl
PublicOptimal Control meets Scientific Machine LearningOrdinaryDiffEq.jl
PublicHigh performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neura…- Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open so…
RecursiveArrayTools.jl
Public- Symbolic-Numeric Neural DAEs and Universal Differential Equations for Automating Scientific Machine Learning (SciML)
ModelingToolkit.jl
PublicAn acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics fo…LinearSolve.jl
PublicLinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and…ExponentialUtilities.jl
PublicFast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. …- Interpolation of arbitrarily high dimensional array data
- Implicit Layer Machine Learning via Deep Equilibrium Networks, O(1) backpropagation with accelerated convergence.
MethodOfLines.jl
PublicAutomatic Finite Difference PDE solving with Julia SciMLComplementaritySolve.jl
PublicNeuralOperators.jl
PublicDiffEqNoiseProcess.jl
PublicA library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learn…NeuralPDE.jl
PublicPhysics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulationReservoirComputing.jl
PublicReservoir computing utilities for scientific machine learning (SciML)DiffEqFlux.jl
PublicPre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-i…CommonSolve.jl
PublicA common solve function for scientific machine learning (SciML) and beyondFiniteVolumeMethod1D.jl
PublicImplementation of the finite volume method in 1D.JumpProcesses.jl
PublicBuild and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and…SciMLBenchmarks.jl
PublicScientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R