The Julia Programming Language

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equat…

Modeling language for Mathematical Optimization (linear, mixed-integer, conic, semidefinite, nonlinear)

A Julia package for probability distributions and associated functions.

Extensible, Efficient Quantum Algorithm Design for Humans.

Statically sized arrays for Julia

Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable i…

The slow descent into madness

A framework for applied category theory in the Julia language

Generalized linear models in Julia

High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learni…

A Julia package for disciplined convex programming

Compiles Julia code to a standalone library (experimental)

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

A data structure for mathematical optimization problems

Manifolds.jl provides a library of manifolds aiming for an easy-to-use and fast implementation.

🏔️Optimization on Riemannian Manifolds in Julia

Root finding functions for Julia

Makes Julia reason with equations. General purpose metaprogramming, symbolic computation and algebraic equational reasoning library for the Julia programming language: E-Graphs & equality saturatio…

Taylor polynomial expansions in one and several independent variables.

Library for validated numerics using interval arithmetic

This repo demonstrates generating 3D surface meshes from input images

Implementation of normalising flows and constrained random variable transformations

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

A Julia package for solving systems of polynomials via homotopy continuation.

Solid state detector field and charge drift simulation in Julia

Random Integrators for many-body quantum systems