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

🌊 Julia software for fast, friendly, flexible, ocean-flavored fluid dynamics on CPUs and GPUs

Extensible, Efficient Quantum Algorithm Design for Humans.

Award winning software library for nonlinear dynamics and nonlinear timeseries analysis

Agent-based modeling framework in Julia

Fast and simple fluid simulator in Julia

Library for the numerical simulation of closed as well as open quantum systems.

Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia

A Julia library for efficient tensor computations and tensor network calculations

Error propagation calculator and library for physical measurements. It supports real and complex numbers with uncertainty, arbitrary precision calculations, operations with arrays, and numerical integration.

Density-functional toolkit

Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization

A Julia/JuMP Package for Power Network Optimization

Modeling and simulation of multidomain engineering systems

Automatic Differentiation Library for Computational and Mathematical Engineering

DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia

Propagation of distributions by Monte-Carlo sampling: Real number types with uncertainty represented by samples.

Tools for building fast, hackable, pseudospectral partial differential equation solvers on periodic domains

Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method

Tools for the exploration of chaos and nonlinear dynamics

Package for the quantum computation and quantum simulation based on the neutral-atom architecture.

Julia package to run Dynamic Power System simulations. Part of the Scalable Integrated Infrastructure Planning Initiative at the National Renewable Energy Lab.

Fast, general-purpose interactive applications for complex systems

Fast, general-purpose interactive applications for complex systems

Geophysical fluid dynamics pseudospectral solvers with Julia and FourierFlows.jl.

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

Package for Simulation, Tomography and Analysis of Quantum Computers

ACME.jl - Analog Circuit Modeling and Emulation for Julia

A native Julia code for lattice QCD with dynamical fermions in 4 dimension.

A differentiable simulator for scientific machine learning (SciML) with N-body problems, including astrophysical and molecular dynamics

A Julia package dedicated to simulating quantum many-body systems using Matrix Product States (MPS)

Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.

Equation-based modeling and simulations in Julia

A standard library of components to model the world and beyond

Koma is a Pulseq-compatible framework to efficiently simulate Magnetic Resonance Imaging (MRI) acquisitions. The main focus of this package is to simulate general scenarios that could arise in pulse sequence development.

Koma is a Pulseq-compatible framework to efficiently simulate Magnetic Resonance Imaging (MRI) acquisitions. The main focus of this package is to simulate general scenarios that could arise in pulse sequence development.

Julia package for the construction of quantum lattice systems.

An easy-to-use, modular, extendable and absurdly fast Julia package for dynamical billiards in two dimensions.

MATLAB-based solver package of Maxwell's equations by the FDFD method

Prediction of timeseries using methods of nonlinear dynamics and timeseries analysis