Astrodynamics with units! Provides common astrodynamics calculations, plotting, and iterative Halo, Kepler, and Lambert solvers.

Astrodynamics with units! Provides common astrodynamics calculations, plotting, and iterative Halo, Kepler, and Lambert solvers.

Control barrier functions (CBFs) in Julia.

Importers for the BaseModelica standard into the Julia ModelingToolkit ecosystem

-

Backend for Lux.jl

Fast 3D frame structural analysis

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

Darcy flow and reservoir simulator based on Jutul.jl

Experimental framework for automatic differentiation finite-volume simulators

An open source model predictive control package for Julia.

Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.

Structure-preserving numerical methods for dispersive shallow water models

Ecosystem of numerical methods for microbial kinetics data analysis, from preprocessing to result interpretation.

Quantum Toolbox in Julia

Neuroimaging (EEG, fMRI, pupil ...) regression analysis in Julia

-

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.

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.

Generalized mean-field equations in open quantum systems

A solver for nonlinear programming

Symbolic-Numeric Universal Differential Equations for Automating Scientific Machine Learning (SciML)

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

Computing reachable states of dynamical systems in Julia

A Julia library of positivity-preserving time integration methods

FMIFlux.jl is a free-to-use software library for the Julia programming language, which offers the ability to place FMUs (fmi-standard.org) everywhere inside of your ML topologies and still keep the resulting model trainable with a standard (or custom) FluxML training process.

FMI.jl is a free-to-use software library for the Julia programming language which integrates FMI (fmi-standard.org): load or create, parameterize, differentiate and simulate FMUs seamlessly inside the Julia programming language!

A simulator for ecological dynamics written in Julia.

High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

Parsers and processing for geoenergy data file formats in Julia.

-

Simulation engine for Heta-based models

Julia Package for reading and writing MPI Files

Orbital dynamics and waveforms for binary black-hole systems, in the post-Newtonian approximation

A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

Implicit Layer Machine Learning via Deep Equilibrium Networks, O(1) backpropagation with accelerated convergence.

Linear periodic time-varying systems tools in Julia

-

Backward-filtering forward-guiding with StochasticDiffEq.jl