Mathematical functions related to statistics.

A Julia frontend, written 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.

Adaptive 1d numerical Gauss–Kronrod integration in Julia

A combinatorics library for Julia

Krylov methods for linear problems, eigenvalues, singular values and matrix functions

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

Fast jacobian computation through sparsity exploitation and matrix coloring

Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

Main Package for IO, loading all different kind of files

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

Lazy code loading for Julia

Convenient input and display of LaTeX equation strings for the Julia language

Color manipulation utilities for Julia

Abstract julia interfaces for working with trees

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.

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

The cheapest threads you can find!

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

Update deeply nested immutable structs.

Colorschemes, colormaps, gradients, and palettes

Interpreter for Julia code

Julia package for lazily representing matrices filled with a single entry

Simple Traits for Julia

An enhancement to julia piping syntax

Julia macro for re-exporting one module from another

A Julia package for representing banded matrices

Compatibility across Julia versions

Reduce time-to-first-execution of Julia code

A Julia package to provide Python-like formatting support

Colored and styled strings for terminals.

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

Composable Loggers for the Julia Logging StdLib

Multivariate polynomials interface

Posix-compliant file name pattern matching

Themes for the Julia plotting package Plots.jl

It's editing-time, do you know where your methods are?

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

Julia wrapper for the LLVM C API

Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)