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Structure Preserving Machine Learning Models in Julia

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.

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

Quantum Toolbox in Julia

Julia package for automated Bayesian inference on a factor graph with reactive message passing

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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

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

DIVAnd performs an n-dimensional variational analysis of arbitrarily located observations

A Julia library of positivity-preserving time integration methods

A Julia package to represent semiseparable and almost banded matrices

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Julia Library for Interatomic Potentials

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.

Algebraic Multigrid in Julia

Parsers and processing for geoenergy data file formats in Julia.

Repository of best practices for deep learning in Julia, inspired by fastai

Simulation engine for Heta-based models

Julia package for function approximation

Various Kalman Filters: KF, UKF, AUKF and their Square root variant

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

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Backward-filtering forward-guiding with StochasticDiffEq.jl

A framework for simulating viscous incompressible flows about arbitrary body shapes.

A turbulence-convection single column model cloud parameterization.

Definition of dynamical systems and integrators for DynamicalSystems.jl

FMIImport.jl implements the import functionalities of the FMI-standard (fmi-standard.org) for the Julia programming language. FMIImport.jl provides the foundation for the Julia packages FMI.jl and FMIFlux.jl.