Base library providing vectorization-tools (ie, SIMD) that other libraries are built off of.

Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.

A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

Multivariate polynomials implementation of commutative and non-commutative variables

Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.

Scratch spaces for all your persistent mutable data needs

A Julia package for representing block-banded matrices and banded-block-banded matrices

Robust and optimal design and analysis of linear control systems

Faster closure variable capture

Ask the CPU for cache sizes, SIMD feature support, a running hypervisor, and more.

A Julia package for describing array layouts and more general fast linear algebra

Extra sorting algorithms extending Julia's sorting API

Julia math built-ins which return NaN and accumulator functions which ignore NaN

Static types useful for dispatch and generated functions.

Makes Julia's package extensions backwards compatible

Zlib codecs for TranscodingStreams.jl.

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Interface for arithmetics on mutable types in Julia

A performant, 100% native-julia SHA1, SHA2, and SHA3 implementation

Bijection datatype for Julia.

Calculating contour curves for 2D scalar fields in Julia

This package contains a macro for converting expressions to use muladd calls and fused-multiply-add (FMA) operations for high-performance in the SciML scientific machine learning ecosystem

SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia

Wrapper around mbedtls

The Hungarian(Kuhn-Munkres) algorithm for Julia

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Repository for automatic differentiation backend types

Positive-definite "approximations" to matrices

Common interface for symbolic terms, allowing symbolic libraries with different underlying structures to interact and convert

Direct solution of large sparse systems of linear algebraic equations in pure Julia

Naïve combined subexpression elimination in Julia

A Julia package to provide C and Python-like formatting support

Treat colors as if they are n-vectors for the purposes of arithmetic

A package which provides an API for querying differentiation results at multiple orders simultaneously

Generic helper algorithms for building plotting components

Julia Package for the FFMPEG builder binaries

Primitives for construction of objects

Functions to transform text into unicode symbols, e.g. latex --> unicode

A data-focused namespace for packages to share functions

Julia wrapper for libcurl