Fast jacobian computation through sparsity exploitation and matrix coloring

Compiles Julia code to a standalone library (experimental)

Trixi.jl: Adaptive high-order numerical simulations of hyperbolic PDEs in Julia

Train and sample Restricted Boltzmann machines in Julia

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

Optimization Problems for Julia

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.

Reduced Basis Methods for Particle Systems

A package for Counterfactual Explanations and Algorithmic Recourse in Julia.

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

🌊 🦠 🌿 A fast and flexible modelling environment written in Julia for modelling the coupled interactions between ocean biogeochemistry, carbonate chemistry, and physics

Julia package for automated Bayesian inference on a factor graph with reactive message passing

Distributed High-Performance symbolic regression in Julia

A Control Systems Toolbox for Julia

A standard library of components to model the world and beyond

A julia package for representing and manipulating model semantics

Relational Algebra, now with more algebra!

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

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

Fast Dispersion Measure Transform implemented in Julia

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

Signal logging and scoping for DifferentialEquations.jl simulations.

Neural networks and neural operators for physics-informed machine learning

DNA Motif discovery that includes the discovery of flexible (long or gapped) motifs.

QuantumWalk.jl: Package for building algorithms based on quantum walks

Phylogenetic Estimation of Shifts in the Tempo of Origination

A Julia package for robust neural networks.

SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals

Julia package for the Napari multi-dimensional image viewer

Exploring the computational power of fermionic quantum systems. Ab initio computation and basis set optimization for electronic structure problems.

A Julia package to perform Bifurcation Analysis

Expression rewriting and simplification

A fast and modern CAS for a fast and modern language.

Reverse Mode Automatic Differentiation for Julia

An intuitive modeling interface for infinite-dimensional optimization problems.

ClimaAtmos.jl is a library for building atmospheric circulation models that is designed from the outset to leverage data assimilation and machine learning tools. We welcome contributions!

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations

Core functions for the Julia (2nd) edition of the text Fundamentals of Numerical Computation, by Driscoll and Braun.

Astrodynamics with units! Provides common astrodynamics calculations, plotting, and iterative Halo, Kepler, and Lambert solvers.

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.