LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

Fast jacobian computation through sparsity exploitation and matrix coloring

Simple chains

Multi-threaded BLAS-like library that provides pure Julia matrix multiplication

High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

Scalable symbolic-numeric set computations in Julia

A Julia interface to the Gurobi Optimizer

Graph Neural Networks in Julia

A library of data interpolation and smoothing functions

Stan.jl illustrates the usage of the 'single method' packages, e.g. StanSample, StanOptimize, etc.

Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA) in a SciML scientific machine learning enabled manner

Reservoir computing utilities for scientific machine learning (SciML)

Research package for automatic differentiation of programs containing discrete randomness.

A Bayesian Analysis Toolkit in Julia

Clapeyron provides a framework for the development and use of fluid-thermodynamic models, including SAFT, cubic, activity, multi-parameter, and COSMO-SAC.

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

Branch-and-Price-and-Cut in Julia

LowRankModels.jl is a julia package for modeling and fitting generalized low rank models.

Computing reachable states of dynamical systems in Julia

This library uses the LaTeX package pgfplots to produce plots.

Tools for the exploration of chaos and nonlinear dynamics

Robust robotic localization and mapping, together with NavAbility(TM). Reach out to info@wherewhen.ai for help.

A package for binary and continuous, single and multi-material, truss and continuum, 2D and 3D topology optimization on unstructured meshes using automatic differentiation in Julia.

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

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

A JuMP-based Nonlinear Integer Program Solver

Clarabel.jl: Interior-point solver for convex conic optimisation problems in Julia.

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

Polyhedral Computation Interface

Efficient computations with symmetric and non-symmetric tensors with support for automatic differentiation.

Enabling StaticCompiler.jl-based compilation of (some) Julia code to standalone native binaries by avoiding GC allocations and llvmcall-ing all the things!

Julia hybrid constraint programming solver enhanced by a reinforcement learning driven search.

Implementations of the models from the Statistical Rethinking book with Turing.jl

Causal, Higher-Order, Probabilistic Programming

Automatic Finite Difference PDE solving with Julia SciML

A Julia package for statistical inference, data manipulation and visualization of phylogenetic networks

Interior-point solver in pure Julia

A Platform for Scalable Modeling and Optimization

A Julia interface to the Ipopt nonlinear solver

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