SciML Package Index

This page is the complete inventory of non-archived repositories in the SciML GitHub organization, plus a few archived docs sites that are still published (DiffEqDevDocs, SciMLTutorialsOutput, DiffEqOperators). Every package has a place here. Packages with their own Documenter site appear in the top navigation bar of docs.sciml.ai. Some solver packages (OrdinaryDiffEq, Sundials, …) ship their API pages inside DiffEqDocs; that is the intended home for those docs rather than a second copy in the navigation bar.

Placement	Meaning
dropdown	Top navigation (independent docs)
embedded	Embedded in another docs site
overview	Overview pages (no independent docs site yet)
extra	Learning resources / language bindings
infra	Not a user-facing package

Advanced Solver APIs

Package	Where	Summary
BoundaryValueDiffEq.jl	Navigation → Advanced Solver APIs	Boundary-value problem solvers.
DiffEqGPU.jl	Navigation → Advanced Solver APIs	GPU ensemble acceleration for DiffEq.
IRKGaussLegendre.jl	Navigation → Advanced Solver APIs	16th-order implicit RK Gauss–Legendre.
MATLABDiffEq.jl	Navigation → Advanced Solver APIs	MATLAB ODE solver wrappers on the SciML interface.
OrdinaryDiffEq.jl	Navigation → Advanced Solver APIs	High-performance ODE/DAE solvers; API also embedded in DiffEqDocs.
OrdinaryDiffEqOperatorSplitting.jl	Navigation → Advanced Solver APIs	Operator-splitting solvers for split ODE/DAE formulations.
QuantumNLDiffEq.jl	Navigation → Advanced Solver APIs	Differential quantum circuits for nonlinear DEs.
SteadyStateDiffEq.jl	Navigation → Advanced Solver APIs	Steady-state solvers for DiffEq; API also in DiffEqDocs.

Array Libraries

Package	Where	Summary
ComponentArrays.jl	Navigation → Array Libraries	Arrays with arbitrarily nested named components.
LabelledArrays.jl	Navigation → Array Libraries	Named elements on arrays without overhead.
MultiScaleArrays.jl	Navigation → Array Libraries	Multiscale array types that compose with equation solvers.
RecursiveArrayTools.jl	Navigation → Array Libraries	Nested arrays compatible with SciML solvers.

Developer Documentation

Package	Where	Summary
ColPrac	Navigation → Developer Documentation	Collaborative practices for community packages.
DiffEqDevDocs.jl	Navigation → Developer Documentation	DiffEq developer documentation (archived repo, still published).
OrgMaintenanceScripts.jl	Navigation → Developer Documentation	Scripts for maintaining a large GitHub organization.
SciMLStyle	Navigation → Developer Documentation	SciML Julia style guide.

Equation Solvers

Package	Where	Summary
Corleone.jl	Navigation → Equation Solvers	Optimal control with SciML.
DiffEqDocs.jl	Navigation → Equation Solvers	DifferentialEquations.jl documentation (umbrella for the DiffEq solvers).
DifferenceEquations.jl	Navigation → Equation Solvers	Deterministic and stochastic difference equations and state-space likelihoods.
Evolutionary.jl	Navigation → Equation Solvers	Evolutionary and genetic algorithms.
Integrals.jl	Navigation → Equation Solvers	Unified interface for quadrature.
JumpProcesses.jl	Navigation → Equation Solvers	Jump processes, Gillespie SSAs, and jump-diffusions.
LinearSolve.jl	Navigation → Equation Solvers	Unified interface for linear solvers.
LineSearch.jl	Navigation → Equation Solvers	Unified line-search interface.
NeuralLinearSolve.jl	Navigation → Equation Solvers	CNN that picks UMFPACK/KLU/Pardiso for a sparse matrix.
NonlinearSolve.jl	Navigation → Equation Solvers	Unified interface for nonlinear solvers and bracketing.
Optimization.jl	Navigation → Equation Solvers	Unified interface for mathematical optimization.

Extra Resources

Package	Where	Summary
ModelingToolkitCourse	Navigation → Extra Resources	ModelingToolkit course notes.
SciMLBenchmarksOutput	Navigation → Extra Resources	Rendered SciML benchmarks site.
SciMLTutorialsOutput	Navigation → Extra Resources	Rendered extended tutorials (archived repo, still published).
SciMLWorkshop.jl	Navigation → Extra Resources	Workshop materials for SciML training.

Function Approximation

Package	Where	Summary
ReservoirComputing.jl	Navigation → Function Approximation	Reservoir computing.
Surrogates.jl	Navigation → Function Approximation	Surrogate modeling and optimization.

High-Level Interfaces

Package	Where	Summary
ADTypes.jl	Navigation → High-Level Interfaces	Automatic-differentiation backend types.
CommonSolve.jl	Navigation → High-Level Interfaces	Shared `solve` / `init` / `solve!` definition.
SciMLBase.jl	Navigation → High-Level Interfaces	Core SciML problem/algorithm/solution interfaces.
SciMLIterators.jl	Navigation → High-Level Interfaces	Iterators over SciML solutions and integrators.
SciMLLogging.jl	Navigation → High-Level Interfaces	Verbosity and logging for SciML solvers.
SciMLOperators.jl	Navigation → High-Level Interfaces	Matrix-free linear and affine operators.
SciMLStructures.jl	Navigation → High-Level Interfaces	Queryable structure interface for user data and parameters.
Static.jl	Navigation → High-Level Interfaces	Statically parameterized types for compile-time computation.
SurrogatesBase.jl	Navigation → High-Level Interfaces	API for deterministic and stochastic surrogates.
SymbolicIndexingInterface.jl	Navigation → High-Level Interfaces	Symbolic indexing of SciML objects.

Implicit Layer Deep Learning

Package	Where	Summary
DeepEquilibriumNetworks.jl	Navigation → Implicit Layer Deep Learning	Deep equilibrium networks.
DiffEqFlux.jl	Navigation → Implicit Layer Deep Learning	Prebuilt implicit deep-learning architectures (Neural ODEs, …).
NeuralLyapunov.jl	Navigation → Implicit Layer Deep Learning	Search for neural Lyapunov functions.

Inverse Problems / Estimation

Package	Where	Summary
CurveFit.jl	Navigation → Inverse Problems / Estimation	Least-squares and curve fitting on the CommonSolve interface.
DiffEqBayes.jl	Navigation → Inverse Problems / Estimation	Simplified Bayesian estimation of DiffEq parameters.
DiffEqParamEstim.jl	Navigation → Inverse Problems / Estimation	Simplified parameter-estimation loss functions.
SciMLSensitivity.jl	Navigation → Inverse Problems / Estimation	Local sensitivity, adjoints, and AD of solvers.

Model Libraries and Importers

Package	Where	Summary
AudioPlugins.jl	Navigation → Model Libraries and Importers	Headless hosting of CLAP and LV2 audio plugins behind a C ABI.
BaseModelica.jl	Navigation → Model Libraries and Importers	Base Modelica importer for ModelingToolkit.
CellMLToolkit.jl	Navigation → Model Libraries and Importers	CellML importer for ModelingToolkit.
DiffEqCallbacks.jl	Navigation → Model Libraries and Importers	Premade callbacks for hybrid differential-equation models.
DiffEqFinancial.jl	Navigation → Model Libraries and Importers	Financial models (Heston, Black–Scholes, …) on DifferentialEquations.
DiffEqPhysics.jl	Navigation → Model Libraries and Importers	Hamiltonian and physics-based DiffEq problem constructors.
FiniteStateProjection.jl	Navigation → Model Libraries and Importers	Finite-state projection of chemical master equations.
MathML.jl	Navigation → Model Libraries and Importers	MathML parser into Symbolics expressions.
ModelingToolkitNeuralNets.jl	Navigation → Model Libraries and Importers	Neural-network blocks for universal differential equations in MTK.
ModelingToolkitStandardLibrary.jl	Navigation → Model Libraries and Importers	Standard component library for ModelingToolkit.
PubChem.jl	Navigation → Model Libraries and Importers	PubChem metadata attached to Catalyst species.
Pyomo.jl	Navigation → Model Libraries and Importers	Pyomo interface via Symbolics.jl.
ReactionNetworkImporters.jl	Navigation → Model Libraries and Importers	BioNetGen and stoichiometry-matrix importers.
SBMLToolkit.jl	Navigation → Model Libraries and Importers	SBML importer for Catalyst and ModelingToolkit.

Modeling Languages

Package	Where	Summary
Catalyst.jl	Navigation → Modeling Languages	Chemical reaction networks and systems biology.
ModelingToolkit.jl	Navigation → Modeling Languages	Acausal symbolic modeling.
MomentClosure.jl	Navigation → Modeling Languages	Moment-closure equations for chemical master equations and SDEs.
NBodySimulator.jl	Navigation → Modeling Languages	N-body, astrophysical, and molecular dynamics.
ParameterizedFunctions.jl	Navigation → Modeling Languages	Simple DSL for defining differential equations.
ProcessSimulator.jl	Navigation → Modeling Languages	Process simulation on ModelingToolkit.

Numerical Utilities

Package	Where	Summary
BipartiteGraphs.jl	Navigation → Numerical Utilities	Bipartite graph types and utilities.
ConcreteStructs.jl	Navigation → Numerical Utilities	Macros for concrete struct field types.
DataInterpolations.jl	Navigation → Numerical Utilities	1D interpolation and smoothing.
DataInterpolationsND.jl	Navigation → Numerical Utilities	N-dimensional interpolation on hyperrectangles.
DiffEqNoiseProcess.jl	Navigation → Numerical Utilities	Noise processes for SDEs and related solvers.
EllipsisNotation.jl	Navigation → Numerical Utilities	`..` ellipsis indexing.
ExponentialUtilities.jl	Navigation → Numerical Utilities	Matrix exponentials, KIOPS, expmv, φ-functions.
FastAlmostBandedMatrices.jl	Navigation → Numerical Utilities	Almost-banded matrices (used by BoundaryValueDiffEq).
FastBroadcast.jl	Navigation → Numerical Utilities	`@..` broadcast that compiles to tight loops.
FindFirstFunctions.jl	Navigation → Numerical Utilities	Faster specialized `findfirst`.
FunctionWrappersWrappers.jl	Navigation → Numerical Utilities	Double FunctionWrappers layer used in solver internals.
LHLFactorization.jl	Navigation → Numerical Utilities	Hessenberg reduction for families of shifted linear systems.
LightweightStats.jl	Navigation → Numerical Utilities	Basic statistics with minimal dependencies.
MuladdMacro.jl	Navigation → Numerical Utilities	`@muladd` fused multiply-add rewriting.
PoissonRandom.jl	Navigation → Numerical Utilities	Fast Poisson random numbers.
PreallocationTools.jl	Navigation → Numerical Utilities	Caches compatible with automatic differentiation.
PureGebal.jl	Navigation → Numerical Utilities	Pure-Julia LAPACK xGEBAL-style matrix balancing.
PureKLU.jl	Navigation → Numerical Utilities	Pure-Julia KLU sparse LU, no SuiteSparse_jll.
PureUMFPACK.jl	Navigation → Numerical Utilities	Pure-Julia UMFPACK-style sparse LU.
QuasiMonteCarlo.jl	Navigation → Numerical Utilities	Quasi-Monte Carlo sequences.
RespecializeParams.jl	Navigation → Numerical Utilities	Type-stable opaque parameter containers for solvers.
RootedTrees.jl	Navigation → Numerical Utilities	Rooted trees and Runge–Kutta order conditions.
RuntimeGeneratedFunctions.jl	Navigation → Numerical Utilities	Runtime-generated functions without world-age issues.
SparseBandedMatrices.jl	Navigation → Numerical Utilities	Sparse banded matrices.

PDE Solvers

Package	Where	Summary
DiffEqOperators.jl	Navigation → PDE Solvers	Archived FDM operator library; prefer MethodOfLines.
FEniCS.jl	Navigation → PDE Solvers	FEniCS finite-element wrappers.
FiniteVolumeMethod.jl	Navigation → PDE Solvers	2D finite-volume method for conservation laws.
FiniteVolumeMethod1D.jl	Navigation → PDE Solvers	1D finite-volume method.
HighDimPDE.jl	Navigation → PDE Solvers	High-dimensional PDE solvers (Deep BSDE, Feynman–Kac).
MethodOfLines.jl	Navigation → PDE Solvers	Automated finite-difference discretization of PDESystem.
NeuralOperators.jl	Navigation → PDE Solvers	Fourier neural operators, DeepONets, and related operator learning.
NeuralPDE.jl	Navigation → PDE Solvers	Physics-informed neural network PDE solvers.

Parameter Analysis

Package	Where	Summary
CatalystNetworkAnalysis.jl	Navigation → Parameter Analysis	Network-analysis algorithms on Catalyst reaction networks.
EasyModelAnalysis.jl	Navigation → Parameter Analysis	High-level queries on simulation output.
GlobalSensitivity.jl	Navigation → Parameter Analysis	Global sensitivity analysis (Sobol, Morris, eFAST, …).
MinimallyDisruptiveCurves.jl	Navigation → Parameter Analysis	Curves in parameter space that leave the solution nearly unchanged.
StructuralIdentifiability.jl	Navigation → Parameter Analysis	Structural identifiability of ODE models.

Symbolic Learning

Package	Where	Summary
DataDrivenDiffEq.jl	Navigation → Symbolic Learning	Data-driven dynamical systems and equation discovery.
SymbolicNumericIntegration.jl	Navigation → Symbolic Learning	Symbolic-numeric integration.

Symbolic Tools

Package	Where	Summary
FunctionProperties.jl	Navigation → Symbolic Tools	Detects function properties (branches, etc.) for compiler/AD optimizations.
ModelOrderReduction.jl	Navigation → Symbolic Tools	Automated model-order reduction on ModelingToolkit systems.
SymbolicAnalysis.jl	Navigation → Symbolic Tools	Disciplined-programming property propagation for optimization.
SymbolicLimits.jl	Navigation → Symbolic Tools	Symbolic limits and zero-equivalence of log-exp functions.

Uncertainty Quantification

Package	Where	Summary
OptimalUncertaintyQuantification.jl	Navigation → Uncertainty Quantification	Bounds on expectations without a fully specified input distribution.
PolyChaos.jl	Navigation → Uncertainty Quantification	Polynomial chaos expansions.
SciMLExpectations.jl	Navigation → Uncertainty Quantification	Fast expectations of equation solutions.

Embedded in another docs site

Equation Solvers

Package	Where	Summary
DASKR.jl	DiffEqDocs	DASKR DAE solver wrapper.
DASSL.jl	DiffEqDocs	DASSL BDF DAE solver.
deSolveDiffEq.jl	DiffEqDocs	R deSolve wrappers on the SciML interface.
DifferentialEquations.jl	DiffEqDocs	Umbrella DiffEq package; documented as DiffEqDocs.
GeometricIntegratorsDiffEq.jl	DiffEqDocs	GeometricIntegrators.jl wrappers on the SciML interface.
ODEInterfaceDiffEq.jl	DiffEqDocs	Hairer Fortran ODEInterface wrappers.
SciPyDiffEq.jl	DiffEqDocs	SciPy ODE wrappers on the SciML interface.
SimpleBoundaryValueDiffEq.jl	DiffEqDocs	Minimal BVP solvers.
SimpleDiffEq.jl	DiffEqDocs	Minimal no-cruft ODE solvers.
Sundials.jl	DiffEqDocs	CVODE, ARKODE, IDA, and KINSOL wrappers.

Overview pages (no independent docs site yet)

Developer Documentation

Package	Where	Summary
SciMLTesting.jl	Overview pages	Shared GROUP-based test harness for SciML packages.

Equation Solvers

Package	Where	Summary
BlackBoxOptim.jl	Overview pages	Derivative-free global/black-box optimization (OptimizationBBO).
ComplementaritySolve.jl	Overview pages	Complementarity problems with ChainRules-compatible gradients.
ParallelParticleSwarms.jl	Overview pages	GPU-accelerated particle-swarm optimization.

Function Approximation

Package	Where	Summary
YOLOWeights.jl	Overview pages	Pinned, checksummed Ultralytics YOLO ONNX weights.

High-Level Interfaces

Package	Where	Summary
SciMLPublic.jl	Overview pages	`@public` backport of Julia 1.11's `public` keyword.

Model Libraries and Importers

Package	Where	Summary
CasADi.jl	Overview pages	CasADi interface via PythonCall (fork of ichatzinikolaidis/CasADi.jl).
DiffEqProblemLibrary.jl	Overview pages	Premade DiffEq problems for examples and testing.
PubChemReactions.jl	Overview pages	Reaction-network generation from PubChem data.
SBMLToolkitTestSuite.jl	Overview pages	Runner for the SBML Test Suite against SBMLToolkit.

Numerical Utilities

Package	Where	Summary
BinaryHeaps.jl	Overview pages	Invalidation-free binary heaps extracted from DataStructures.jl.
CommonWorldInvalidations.jl	Overview pages	Pre-invalidates common MethodError paths to cut latency.
FastPower.jl	Overview pages	Faster, slightly less accurate floating-point power.
MaybeInplace.jl	Overview pages	Bang-bang macros that pick in-place vs out-of-place by array mutability.
ResettableStacks.jl	Overview pages	Stacks with `reset!` that avoid GC in solver internals.
SimpleNorm.jl	Overview pages	`norm` without a LinearAlgebra/BLAS dependency.
SparseColumnPivotedQR.jl	Overview pages	Rank-revealing column-pivoted Householder QR for SparseMatrixCSR.
SparseMatrixIdentification.jl	Overview pages	Sparse matrix structure identification.
SparseWithDenseRowColMatrices.jl	Overview pages	Sparse plus dense row/column matrices with Sherman–Morrison–Woodbury.
SpecializingFactorizations.jl	Overview pages	Type-stable detection of dense-matrix structure with specialized factorizations.
TupleLU.jl	Overview pages	LU factorization on tuple-based small matrices.

PDE Solvers

Package	Where	Summary
PDEBase.jl	Overview pages	Shared types and interface for ModelingToolkit PDE discretizers.
PDESystemLibrary.jl	Overview pages	Library of ModelingToolkit PDESystem examples.

Plots and Visualization

Package	Where	Summary
DimensionalPlotRecipes.jl	Overview pages	Plot recipes for high-dimensional numbers and reductions.

Symbolic Learning

Package	Where	Summary
DataCollocations.jl	Overview pages	Non-parametric collocation for smoothing timeseries and estimating derivatives.

Learning resources / language bindings

Extra Resources

Package	Where	Summary
2025-JuliaCon-DifferentialEquations-Workshop	Learning resources	JuliaCon 2025 DifferentialEquations workshop.
CatalystPLOSCOMPBIO_2023	Learning resources	Companion notebooks for the 2023 Catalyst PLOS Comp Bio paper.
GeiloInverseProblemWorkshop	Learning resources	Geilo inverse-problems workshop notes.
JuliaModelingWorkshop	Learning resources	High-performance scientific modeling workshop.
ModelingToolkitWorkshop_JuliaCon2024	Learning resources	JuliaCon 2024 ModelingToolkit workshop materials.
ScientificModelingCheatsheet	Learning resources	MATLAB / Python / Julia scientific-modeling cheatsheet.
SciMLBenchmarks.jl	Learning resources	Benchmark sources; rendered output is SciMLBenchmarksOutput.
SciMLBook	Learning resources	Parallel Computing and Scientific Machine Learning lecture notes (MIT 18.337).

Language Bindings

Package	Where	Summary
diffeqpy	Learning resources	Python bindings for DifferentialEquations.jl.
diffeqr	Learning resources	R bindings for DifferentialEquations.jl.
juliatorch	Learning resources	Wrap Julia functions as PyTorch autograd functions.

Not a user-facing package

Infrastructure

Package	Where	Summary
.github	Not documented as a package	Organization-wide GitHub Actions and metadata.
PropertyModels.jl	Not documented as a package	Empty placeholder repository.
sciml.ai	Not documented as a package	Organization website.
SciMLAssets	Not documented as a package	Shared website/assets.
SciMLDocs	Not documented as a package	This documentation aggregator (Home in the nav).