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

Definition of dynamical systems and integrators for DynamicalSystems.jl

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Trajectory Optimization for Robot Arms

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)

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

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

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

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

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

Quantum Toolbox in Julia

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

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

Solving difference equations with DifferenceEquations.jl and the SciML ecosystem.

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.

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

Simulation of simple controls problems in Julia

Quantum dynamics simulation environment

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.

Solvers for steady states in scientific machine learning (SciML)

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

A turbulence-convection single column model cloud parameterization.

A scaffolding for building inviscid flow models