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

Julia toolkit for open quantum system simulation.

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

Implementation of the Deep Q-learning algorithm to solve MDPs

Simulation and visualization of articulated rigid body systems in Julia

A simple tool for simulating trapped ion systems

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

Fast uncertainty quantification for scientific machine learning (SciML) and differential equations

Fast uncertainty quantification for scientific machine learning (SciML) and differential equations

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

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

Julia library for the string interpolation of HTML and SVG

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

-

A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.

An open source model predictive control package for Julia.

Rigorous function approximation using Taylor models in 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

Easy scientific machine learning (SciML) parameter estimation with pre-built loss functions

Choo-choo

Functions useful when using Pluto in teaching.

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.

Aggregating all the docs

A Power Flow Solver for GPUs in Julia

Symbolic planners for problems and domains specified in PDDL.

Compile away dynamic dispatch on Val-typed arguments via value-splitting.

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

Definition of dynamical systems and integrators for DynamicalSystems.jl

Tropical tensor network for spin glasses

Trajectory Optimization for Robot Arms

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