Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.

Solve and estimate Dynamic Stochastic General Equilibrium models (including the New York Fed DSGE)

Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.

Modeling and simulation of multidomain engineering systems

Implementations of the models from the Statistical Rethinking book with Turing.jl

Causal.jl - A modeling and simulation framework adopting causal modeling approach.

Core functions for the Julia (2nd) edition of the text Fundamentals of Numerical Computation, by Driscoll and Braun.

FMI.jl is a free-to-use software library for the Julia programming language which integrates FMI (fmi-standard.org): load or create, parameterize, differentiate and simulate FMUs seamlessly inside the Julia programming language!

OrbitalTrajectories.jl is a modern orbital trajectory design, optimisation, and analysis library for Julia, providing methods and tools for designing spacecraft orbits and transfers via high-performance simulations of astrodynamical models.

High level functions for analyzing the output of simulations

Modeling and Simulation of 3D systems

The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

Global glacier model using Universal Differential Equations for climate-glacier interactions

High-performance simulations of the Porous Electrode Theory for Li-ion batteries

An open-source framework written in Julia for global integrated assessment models.

Atomic graph models for molecules and crystals in Julia

FMIFlux.jl is a free-to-use software library for the Julia programming language, which offers the ability to place FMUs (fmi-standard.org) everywhere inside of your ML topologies and still keep the resulting model trainable with a standard (or custom) FluxML training process.

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

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

Create parameter estimation problems for ODE models

Time stepping for Gridap

DPFEHM: A Differentiable Subsurface Flow Simulator

Simulation of simple controls problems in Julia

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

Tools for the Simulation and Execution of Quantum Annealing Algorithms

A tool to solve optimal control problem

Piecewise Deterministic Markov Processes in Julia

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

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

Deprecated package (use instead Modia.jl)

Deprecated package (use instead Modia.jl)

Population and community dynamics on spatial graphs, in julia. (formerly EcoDynamics.jl)

General Relativistic Orbital Dynamics in Julia

From Semiconductor to TransistorLevel Modeling in Julia

A simulator for ecological dynamics written in Julia.

Julia package for multicellular modeling

A Julia package that implements a category of reaction (transportation) network-type dynamical systems.

Simulators for kite power systems

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Integrating Neural Ordinary Differential Equations, the Method of Lines, and Graph Neural Networks