Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods

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

A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

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A differentiable physics engine for robotics

WebGL-based 3D visualizer in Julia

CEED Library: Code for Efficient Extensible Discretizations

Causal, Higher-Order, Probabilistic Programming

Differentiable collision detection for polytopes, capsules, cylinders, cones, spheres, and polygons.

A development environment for robust and global optimization

Fast contact-implicit model predictive control for robotic systems that make and break contact with their environments.

What if your code allocated less? Remember what memory we needed last time and use it again every time after

Estimate the absolute performance of a piece of Julia code

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.

The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms

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

Simulation and visualization of articulated rigid body systems in Julia

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

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Atomic graph models for molecules and crystals in Julia

Automatic detection of sparsity in pure Julia functions for sparsity-enabled scientific machine learning (SciML)

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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Trajectory Optimization for Robot Arms

A cassette-based debugger | The Other Debugger

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3D Visualization of mechanisms and URDFs using MeshCat.jl and RigidBodyDynamics.jl

Unified contact simulaton and collision detection

A Julia package for UI development

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

A differentiable simulator for robotic systems.

Simple function tracing for Julia

A set of tools to quickly generate and visualize autonomous driving scenarios for Algames.jl.

Lens.jl is a simple Julia library to inspect the runtime behaviour of your programs, with minimal interference to the program itself.

Implementations of Infinitesimal Continuous Normalizing Flows Algorithms in Julia

A basic mocking module

Maintainable type inference

General Relativistic Orbital Dynamics in Julia