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)

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

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

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)

Experimental framework for automatic differentiation finite-volume simulators

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

Methods for computational information geometry

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

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

Detect and track blobs in video

Total Variation Regularized Numerical Differentiation

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

Quantum Toolbox in Julia

Julia Bindings for Atomic Simulation Environment

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

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

Create parameter estimation problems for ODE models

A time domain electrical energy grid modeling and simulation tool with a focus on the control of power electronics converters

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.

Trajectory simulations for point particles in Ocean, Atmosphere, etc flow fields

Quantum dynamics simulation environment

Solvers for steady states in scientific machine learning (SciML)

DPFEHM: A Differentiable Subsurface Flow Simulator

A full stack simulator of quantum hardware, from the low-level analog physics to high-level network dynamics. Includes discrete event simulator, symbolic representation for quantum object, and works with many backend simulators.

Simulation of simple controls problems in Julia

A turbulence-convection single column model cloud parameterization.

TrixiParticles.jl: Particle-based multiphysics simulations in Julia

A scaffolding for building inviscid flow models

Differential equations on manifolds

A unified interface for simulations of the Bio-Energetic model on food webs

A library of systems of partial differential equations, as defined with ModelingToolkit.jl in Julia

ParameterEstimation.jl is a Julia package for estimating parameters and initial conditions of ODE models given measurement data.

Unitary and Lindbladian evolution in Julia

A component library based on ModelingToolkit

Julia Catalyst.jl importers for various reaction network file formats like BioNetGen and stoichiometry matrices

Stochastic delay differential equations (SDDE) solvers for the SciML scientific machine learning ecosystem