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

Implementation of a Augmented Lagrangian method

Trajectory Optimization for Robot Arms

A few preconditioners for iterative solvers.

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

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

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)

Julia interface to the NOMAD blackbox optimization software

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

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

A framework for composing and simulating multiphysics systems

Neuroimaging (EEG, fMRI, pupil ...) regression analysis in Julia

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

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

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

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

Total Variation Regularized Numerical Differentiation

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

Julia Bindings for Atomic Simulation Environment

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

A Julia package for robust regressions using M-estimators and quantile regressions

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.

DPFEHM: A Differentiable Subsurface Flow Simulator

Differentiable matrix factorizations using ImplicitDifferentiation.jl.

Quantum dynamics simulation environment

Solvers for steady states in scientific machine learning (SciML)

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

Simulation of simple controls problems in Julia

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.