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

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

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.

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

Methods for computational information geometry

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

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.

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

Deprecated package (use instead Modia.jl)

General Relativistic Orbital Dynamics in Julia

A simulator for ecological dynamics written in Julia.

Julia package for multicellular modeling

From Semiconductor to TransistorLevel Modeling in Julia

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

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

Package for approximation of solutions to matrix differential equations or time-dependent matrices via dynamically evolving low rank decomposition.

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Julia implementation of the bond graph framework

Julia implementation of joint models combining longitudinal and survival endpoints

Control barrier functions (CBFs) in Julia.