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

Import, process and interpret geophysical data sets to be used in numerical models.

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.

Robust and optimal design and analysis of linear control systems

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.

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

Definition of dynamical systems and integrators for DynamicalSystems.jl

Trajectory Optimization for Robot Arms

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)

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

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

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

Useful functions for Black–Scholes Model in the Julia Language

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

Define material parameters, perform non-dimensionalization and provide computational routines for material parameters in geodynamic simulations

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

Methods for computational information geometry

A Petri net modeling framework for the Julia programming language

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

Astronomical time keeping in 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

Quantum Toolbox in Julia

JuliaCon 2021 Hackathon

An efficient Julia framwork for Hierarchical Equations of Motion (HEOM) in open quantum systems

An interface for accelerated simulation of high-dimensional collisionless and electrostatic plasmas.

High-level model-order reduction to automate the acceleration of large-scale simulations

Create parameter estimation problems for ODE models

Time stepping for Gridap

Solves stiff differential algebraic equations (DAE) using variable stepsize backwards finite difference formula (BDF) in the SciML scientific machine learning organization

Tools for solving and displaying Keplerian orbits for exoplanets.