Equation-based modeling and simulations in Julia

Unitary and Lindbladian evolution in Julia

Julia package for tensor contractions and related operations

Julia AMPL Models Conforming to NLPModels.jl

Linear Operators for Julia

Fast image quilting simulation solver for the GeoStats.jl framework

XGBoost Julia Package

A Julia package for numerical computation in quantum information theory

Rigorous floating-point calculations with interval arithmetic in Julia

Julia's CUTEst Interface

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The JuliaFEM software library is a framework that allows for the distributed processing of large Finite Element Models across clusters of computers using simple programming models. It is designed to scale up from single servers to thousands of machines, each offering local computation and storage.

Data Structures for Optimization Models

Koç University deep learning framework.

A workbench for Quantum Chemistry and Quantum Physics in Julia

Programs modeled after "Numerical Methods for Engineers" by D.V. Griffiths and I.M. Smith

Entropic Cone approximation and optimization

The automatically differentiable and GPU-compatible toolkit for CMB analysis.

Tools for developing nonlinear optimization solvers.

Implementation of SDDP (Stochastic Dual Dynamic Programming) using the StructJuMP modeling interface

Relax! Flux is the ML library that doesn't make you tensor

Calculate rigorously the feasible region for a set of real-valued inequalities with Julia

Julia support for native CUDA programming

Julia port of the Python autograd package.

Julia wrapper of the PROPACK sparse SVD library

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

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.

Common interface bindings for the MATLAB ODE solvers via MATLAB.jl for the SciML Scientific Machine Learning ecosystem

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Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software

Nonlinear Least Squares problems

A framework to implement iterative algorithms

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

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

Modeling and simulation of multidomain engineering systems

Stochastic Dual Dynamic Programming in Julia

Julia Package for reading and writing MPI Files

Julia package for performing MPI measurements