Mathematics Packages

TaylorModels.jl36Rigorous function approximation using Taylor models in Julia

MKLSparse.jl29Make available to Julia the sparse functionality in MKL

BandedMatrices.jl91A Julia package for representing banded matrices

DifferentialEquations.jl1769Multilanguage suite for highperformance solvers of differential equations and scientific machine learning (SciML) components

Mimi.jl38Integrated Assessment Modeling Framework

FunctionalCollections.jl94Functional and persistent data structures for Julia

ChainRulesCore.jl89It 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)

Interpolations.jl279Fast, continuous interpolation of discrete datasets in Julia

Krylov.jl115A Julia Basket of HandPicked Krylov Methods

Measurements.jl278Error propagation calculator and library for physical measurements. It supports real and complex numbers with uncertainty, arbitrary precision calculations, operations with arrays, and numerical integration.

Meshes.jl81Computational geometry and meshing algorithms in Julia

Juniper.jl105A JuMPbased Nonlinear Integer Program Solver

Hecke.jl99Computational algebraic number theory

OffsetArrays.jl110Fortranlike arrays with arbitrary, zero or negative starting indices.

Tullio.jl267⅀

CategoricalArrays.jl79Arrays for working with categorical data (both nominal and ordinal)

DynamicalSystems.jl414Award winning software library for nonlinear dynamics

UnumX.jl39Unum arithmetic in Julia

StaticArrays.jl407Statically sized arrays for Julia

Rotations.jl78Julia implementations for different rotation parameterisations

ShiftedArrays.jl33Lazy shifted arrays for data analysis in Julia

Calculus.jl206Calculus functions in Julia

Showoff.jl3Nicely format an array of n things for tables and plots

Reduce.jl187Symbolic parser generator for Julia language expressions using REDUCE algebra term rewriter

RollingFunctions.jl36Roll a window over data; apply a function over the window.

Transducers.jl246Efficient transducers for Julia

IterativeSolvers.jl246Iterative algorithms for solving linear systems, eigensystems, and singular value problems

NFFT.jl34Julia implementation of the Nonequidistant Fast Fourier Transform (NFFT)

Roots.jl128Root finding functions for Julia

MatrixDepot.jl47An Extensible Test Matrix Collection for Julia

RecursiveArrayTools.jl92Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

KNITRO.jl44Julia interface to the Artelys Knitro solver

ArrayInterface.jl49Designs for new Base array interface primitives, used widely through scientific machine learning (SciML) and other organizations

LazyArrays.jl159Lazy arrays and linear algebra in Julia

EndpointRanges.jl14Julia package for doing arithmetic on endpoints in array indexing

SingularIntegralEquations.jl37Julia package for solving singular integral equations

ForwardDiff.jl496Forward Mode Automatic Differentiation for Julia

DecFP.jl35Julia IEEE decimal floatingpoint via the Intel decimalfloat library

Sundials.jl128Julia 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

LightGraphs.jl646An optimized graphs package for the Julia programming language
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