Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components

An optimized graphs package for the Julia programming language

Forward Mode Automatic Differentiation for Julia

Award winning software library for nonlinear dynamics

Statically sized arrays for Julia

Julia package for function approximation

⟨Leibniz-Grassmann-Clifford⟩ differential geometric algebra / multivector simplicial complex

Fast, continuous interpolation of discrete datasets in Julia

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.

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Iterative algorithms for solving linear systems, eigensystems, and singular value problems

Efficient transducers for Julia

Filter design, periodograms, window functions, and other digital signal processing functionality

Julia package for tensor contractions and related operations

Calculus functions in Julia

Working with graphs in Julia

Julia solvers for systems of nonlinear equations and mixed complementarity problems

Symbolic parser generator for Julia language expressions using REDUCE algebra term rewriter

XGBoost Julia Package

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.

A julia package for Taylor polynomial expansions in one and several independent variables.

Julia package for Gaussian quadrature

Julia package for Gaussian quadrature

A Julia package for defining and working with linear maps, also known as linear transformations or linear operators acting on vectors. The only requirement for a LinearMap is that it can act on a vector (by multiplication) efficiently.

Julia interface to SymPy via PyCall

Language for symbolic mathematics

Lazy arrays and linear algebra in Julia

:rocket: Julia package for fast orthogonal polynomial transforms :snowboarder:

Efficient implementation of struct arrays in Julia

Julia wrappers of SymEngine

Performant arrays where each dimension can have a named axis with values

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

Root finding functions for Julia

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A Julia Basket of Hand-Picked Krylov Methods

Julia port of L.J.P. van der Maaten and G.E. Hintons T-SNE visualisation technique.

Fortran-like arrays with arbitrary, zero or negative starting indices.

A Julia framework for delayed expression evaluation

A JuMP-based Nonlinear Integer Program Solver

Intel MKL linear algebra backend for Julia