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.

YaoLang: The next DSL for Yao and quantum programs.

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

Solvers for steady states in scientific machine learning (SciML)

Simulation of simple controls problems in Julia

A turbulence-convection single column model cloud parameterization.

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

Composable contracts, models, and functions that allow for modeling of both simple and complex financial instruments

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.

DPFEHM: A Differentiable Subsurface Flow Simulator

Quantum dynamics simulation environment

A scaffolding for building inviscid flow models

Computer algebra tools for symbolic manipulations in quantum mechanics and quantum information

A differentiable simulator for robotic systems.

Collective tools for Julia SSA IR.

TrixiParticles.jl: Particle-based multiphysics simulations in Julia

Octofitter is a Julia package for performing Bayesian inference against direct images of exoplanets, relative astrometry, and astrometric acceleration of the host star.

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

A Julia package for constrained trajectory optimization using direct methods.

Quantum Optimal Control with Direct Collocation

Unitary and Lindbladian evolution in Julia

Learning state-space targets in dynamical systems

A component library based on ModelingToolkit

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

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

Differential equation problem specifications and scientific machine learning for common financial models

ClimaCoupler: bringing atmosphere, land, and ocean together

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

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

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Tools for the Simulation and Execution of Quantum Annealing Algorithms

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Julia MathML parser

A tool to solve optimal control problem

Implicit Runge-Kutta Gauss-Legendre 16th order (Julia)

Signal logging and scoping for DifferentialEquations.jl simulations.