Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Progress meter for long-running computations

Grid-based approximation of partial differential equations in Julia

Julia implementation of Data structures

HDF5-compatible file format in pure Julia

Fast, continuous interpolation of discrete datasets in Julia

A Julia package for evaluating distances (metrics) between vectors.

Types with default field values, keyword constructors and (un-)pack macros

High performance nearest neighbor data structures (KDTree and BallTree) and algorithms for Julia.

MPI wrappers for Julia

Special mathematical functions in Julia

Root finding functions for Julia

Julia solvers for systems of nonlinear equations and mixed complementarity problems

JSON parsing and printing

MacroTools provides a library of tools for working with Julia code and expressions.

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 package for Gaussian quadrature

Julia bindings to the FFTW library for fast Fourier transforms

Adaptive 1d numerical Gauss–Kronrod integration in Julia

AD-backend agnostic system defining custom forward and reverse mode rules. This is the light weight core to allow you to define rules for your functions in your packages, without depending on any particular AD system.

Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support

Main Package for IO, loading all different kind of files

A combinatorics library for Julia

Reduce time-to-first-execution of Julia code

Abstract julia interfaces for working with trees

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

Lazy code loading for Julia

BlockArrays for Julia

Julia package for lazily representing matrices filled with a single entry

Update immutable data

Julia macro for re-exporting one module from another

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Pure-Julia multidimensional h-adaptive integration

Julia package for writing VTK XML files

Compatibility across Julia versions

Project Preferences Package

A Julia package for representing banded matrices

A Julia framework for implementing FFTs

Line search methods for optimization and root-finding