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.

Efficient, Accurate, and Streamlined Training of Physics-Informed Neural Networks

Definition of dynamical systems and integrators for DynamicalSystems.jl

-

A hybrid AC/DC OPF package based on PowerModels.jl

A Julia package for solving nonlinear differential equations using the harmonic balance method.

Dense and Sparse Least Squares Optimization

The automatically differentiable and GPU-compatible toolkit for CMB analysis.

Trajectory Optimization for Robot Arms

Julia package towards classical molecular modeling of nanoporous materials

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

Finds relationships between the parameters of a mathematical model

C-code generation and an interface between ControlSystems.jl and SymPy.jl

A library for building differential equations arising from physical problems for physics-informed and scientific machine learning (SciML)

Julia versions of the CompEcon routines by Miranda and Fackler.

A CPU- and GPU-friendly package for solving ordinary differential equations

A fast and flexible Structural Equation Modelling Framework

Julia package containing utilities intended for Time Series analysis.

-

Measure the distance between two spectra/signals using optimal transport and related metrics

Geometric Numerical Integration in Julia

Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)

Tools to generate and study moment equations for any chemical reaction network using various moment closure approximations

-

Julia toolbox for underwater acoustic modeling

Boundary value problem (BVP) solvers for scientific machine learning (SciML)

Structure Preserving Machine Learning Models in Julia

Embedded finite element methods in Julia

Signal analysis toolbox for Julia

Gmsh generated meshes for Gridap

Julia package for ecosystem simulation

Methods for computational information geometry

A suite of tools for solving Nonlinear Schrodinger equations via higher-order algorithms and Darboux transformations.

A Petri net modeling framework for the Julia programming language

Julia package for finding traffic user equilibrium flow

SBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkit

Convenient way to handle simple graphs and digraphs

Robotics library written in the Julia programming language

High Quality Geophysical Analysis provides a general purpose Bayesian and deterministic inversion framework for various geophysical methods and spatially distributed / timeseries data

A PowerModels Extension for Security Constrained Optimization Problems