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

Quantum Toolbox in Julia

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

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

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

Solvers for steady states in scientific machine learning (SciML)

A turbulence-convection single column model cloud parameterization.

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

DPFEHM: A Differentiable Subsurface Flow Simulator

Quantum dynamics simulation environment

Differentiable matrix factorizations using ImplicitDifferentiation.jl.

A scaffolding for building inviscid flow models

TrixiParticles.jl: Particle-based multiphysics simulations in Julia

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

Differential equations on manifolds

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

Unitary and Lindbladian evolution in Julia

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

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

Builds conductance based neural networks iteratively, from ion channels and synapses

Tools for the Simulation and Execution of Quantum Annealing Algorithms

Simulate quantum systems consisting of many spins interacting via dipole-dipole interaction

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A tool to solve optimal control problem

Flux reconstruction method for advection-diffusion type physics

Implementations of Infinitesimal Continuous Normalizing Flows Algorithms in Julia

Symbolic-Numeric Universal Differential Equations for Automating Scientific Machine Learning (SciML)

Astrodynamics with units! Provides common astrodynamics calculations, plotting, and iterative Halo, Kepler, and Lambert solvers.