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

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.

An open source model predictive control package for Julia.

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

Atomic graph models for molecules and crystals in Julia

Choo-choo

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.

Robust and optimal design and analysis of linear control systems

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

Trajectory Optimization for Robot Arms

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

C-code generation and an interface between ControlSystems.jl and SymPy.jl

Finds relationships between the parameters of a mathematical model

A library for building differential equations arising from physical problems for physics-informed and scientific machine learning (SciML)

Measure the distance between two spectra/signals using optimal transport and related metrics

A CPU- and GPU-friendly package for solving ordinary differential equations

Tools to generate and study moment equations for any chemical reaction network using various moment closure approximations

Methods for computational information geometry

A Petri net modeling framework for the Julia programming language

SBML differential equation and chemical reaction model (Gillespie simulations) for Julia's SciML ModelingToolkit

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

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

DPFEHM: A Differentiable Subsurface Flow Simulator

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.

Solvers for steady states in scientific machine learning (SciML)

Simulation of simple controls problems in Julia

TrixiParticles.jl: Particle-based multiphysics simulations in Julia

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

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

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