Package for dynamical modeling of power grids

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

A framework for simulating viscous incompressible flows about arbitrary body shapes.

A helper tool for visualizing and editing a ModelingToolkit.jl system connections

A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

Pure Julia Implementation of Geometrically Exact Beam Theory

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.

ClimaAtmos.jl is a library for building atmospheric circulation models that is designed from the outset to leverage data assimilation and machine learning tools. We welcome contributions!

High level functions for analyzing the output of simulations

A simple domain-specific language (DSL) for defining differential equations for use in scientific machine learning (SciML) and other applications

A julia package for representing and manipulating model semantics

Modeling and Simulation of 3D systems

A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations

The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

Clique recycling non-Gaussian (multi-modal) factor graph solver; also see Caesar.jl.

Julia toolkit for open quantum system simulation.

Simulation and visualization of articulated rigid body systems in Julia

A Julia package for Deep Backwards Stochastic Differential Equation (Deep BSDE) and Feynman-Kac methods to solve high-dimensional PDEs without the curse of dimensionality

A simple tool for simulating trapped ion systems

Generalized mean-field equations in open quantum systems

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

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

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

Robot Motion Estimate: Tools, Variables, and Factors for SLAM in robotics; also see Caesar.jl.

An open source model predictive control package for Julia.

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Atomic graph models for molecules and crystals in Julia

CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.

Choo-choo

Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.

A Power Flow Solver for GPUs in Julia

Robust and optimal design and analysis of linear control systems

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.

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

Definition of dynamical systems and integrators for DynamicalSystems.jl

Trajectory Optimization for Robot Arms

Finds relationships between the parameters of a mathematical model

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