A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.

Julia implementation of associative containers that preserve insertion order

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SparseArrays.jl is a Julia stdlib

This is what I wish `Base.@enum` was.

Cunning tricks though the julia compiler internals

Simple, consistent interfaces for any codec.

Collective tools for metaprogramming on Julia Expr

`@pack!` and `@unpack` macros

Fixed point types for julia

TAR files: create, list, extract them in pure Julia

Basic color definitions and traits

Light-weight expression manipulation tools

🏩🏠🌆🏨🌇🏦

A simple shared suite of common derivative definitions

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Julia package for various special functions based on `log` and `exp`.

Missing value support for Julia

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.

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

Tool for building binary dependencies for Julia modules

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

Faster closure variable capture

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

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

Extra sorting algorithms extending Julia's sorting API

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

Fast complex polynomial root finder, with support for arbitrary precision calculations

Static types useful for dispatch and generated functions.

Zlib codecs for TranscodingStreams.jl.

Makes Julia's package extensions backwards compatible

Interface for arithmetics on mutable types in Julia

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

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