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.

Differentiable trajectory optimization in Julia.

Robust and optimal design and analysis of linear control systems

Definition of dynamical systems and integrators for DynamicalSystems.jl

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

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

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Trajectory Optimization for Robot Arms

Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia

Frequency domain, multi-tone harmonic balance, simulation of scattering parameters and noise in nonlinear circuits containing Josephson junctions.

A few preconditioners for iterative solvers.

Finds relationships between the parameters of a mathematical model

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

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)

Relational Algebra, now with more algebra!

A fast and flexible Structural Equation Modelling Framework

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

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

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

Quantum Algorithms for solving differential equations

Reachability analysis for closed-loop control systems in Julia

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

A toolbox meant for aircraft design analyses.

A toolbox meant for aircraft design analyses.

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

A Julia package for constrained iterative LQR (iLQR)

Experimental framework for automatic differentiation finite-volume simulators

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

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

Unified contact simulaton and collision detection

Common functions in actuarial and financial routines

Comparing performance and results of mcmc options using Julia

Examples of how to use the modeling capabilities developed under the Scalable Integrated Infrastructure Planning Initiative at NREL.

Detect and track blobs in video