Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions

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.

Functions to compute omnidirectional landscape connectivity using circuit theory and the Omniscape algorithm.

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

A few preconditioners for iterative solvers.

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

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

Finds relationships between the parameters of a mathematical model

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

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

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

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

Quantum Algorithms for solving differential equations

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

Reachability analysis for closed-loop control systems in Julia

A toolbox meant for aircraft design analyses.

A toolbox meant for aircraft design analyses.

Computational graph representation of multiloop Feynman diagrams

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

A Petri net modeling framework for the Julia programming language

Methods for computational information geometry

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

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

Unified contact simulaton and collision detection