Rigorous function approximation using Taylor models in Julia

Make available to Julia the sparse functionality in MKL

A Julia package for representing banded matrices

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

Integrated Assessment Modeling Framework

Functional and persistent data structures for Julia

It is like recipes but for AD! (Full functionality is in ChainRules.jl but this a light weight dependency just to define sensitivities for your functions in your packages)

Fast, continuous interpolation of discrete datasets in Julia

A Julia Basket of Hand-Picked Krylov Methods

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.

Computational geometry and meshing algorithms in Julia

A JuMP-based Nonlinear Integer Program Solver

Computational algebraic number theory

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

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Arrays for working with categorical data (both nominal and ordinal)

Award winning software library for nonlinear dynamics

Unum arithmetic in Julia

Statically sized arrays for Julia

Julia implementations for different rotation parameterisations

Lazy shifted arrays for data analysis in Julia

Calculus functions in Julia

Nicely format an array of n things for tables and plots

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

Roll a window over data; apply a function over the window.

Efficient transducers for Julia

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

Julia implementation of the Non-equidistant Fast Fourier Transform (NFFT)

Root finding functions for Julia

An Extensible Test Matrix Collection for Julia

Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

Julia interface to the Artelys Knitro solver

Designs for new Base array interface primitives, used widely through scientific machine learning (SciML) and other organizations

Lazy arrays and linear algebra in Julia

Julia package for doing arithmetic on endpoints in array indexing

Julia package for solving singular integral equations

Forward Mode Automatic Differentiation for Julia

Julia IEEE decimal floating-point via the Intel decimal-float library

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

An optimized graphs package for the Julia programming language