Choo-choo

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.

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.

Definition of dynamical systems and integrators for DynamicalSystems.jl

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

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Trajectory Optimization for Robot Arms

A few preconditioners for iterative solvers.

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

Finds relationships between the parameters of a mathematical model

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

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

Geometric Numerical Integration in Julia

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

A framework for composing and simulating multiphysics systems

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

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

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

Structure Preserving Machine Learning Models in Julia

Experimental framework for automatic differentiation finite-volume simulators

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

Methods for computational information geometry

A Petri net modeling framework for the Julia programming language

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

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

A Julia package for classical orthogonal polynomials and expansions

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

Total Variation Regularized Numerical Differentiation

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

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

Julia Bindings for Atomic Simulation Environment

A Julia repository for linear algebra with infinite matrices

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

Create parameter estimation problems for ODE models

Piecewise Deterministic Sampler library (Bouncy particle sampler, Zig Zag sampler, ...)

Find attractors (and their basins) of dynamical systems. Perform global continuation. Study global stability (a.k.a. non-local, or resilience). Also tipping points functionality.