Mathematics Packages

ArrayInterface.jl125Designs for new Base array interface primitives, used widely through scientific machine learning (SciML) and other organizations

StochasticDiffEq.jl200Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

ProbNumDiffEq.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

ODEFilters.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

Bessels.jl66Bessel functions for real arguments and orders

LibCEED.jl148CEED Library: Code for Efficient Extensible Discretizations

DiffEqBase.jl243The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

GemmKernels.jl55Flexible and performant GEMM kernels in Julia

StateSpaceModels.jl235StateSpaceModels.jl is a Julia package for timeseries analysis using statespace models.

AlgebraicPetri.jl64Build Petri net models compositionally

Ferrite.jl239Finite element toolbox for Julia

Sobol.jl70Generation of Sobol lowdiscrepancy sequence (LDS) for the Julia language

TaylorSeries.jl280Taylor polynomial expansions in one and several independent variables.

FastChebInterp.jl46Fast multidimensional Chebyshev interpolation and regression in Julia

AppleAccelerate.jl50Julia interface to the macOS Accelerate framework

Manifolds.jl297Manifolds.jl provides a library of manifolds aiming for an easytouse and fast implementation.

TaylorDiff.jl45Taylormode automatic differentiation for higherorder derivatives

MutableArithmetics.jl45Interface for arithmetics on mutable types in Julia

BitIntegers.jl43Fixedwidth integers similar to builtin ones

Rotations.jl145Julia implementations for different rotation parameterizations

Hecke.jl169Computational algebraic number theory

FourierTools.jl43Tools for working with Fourier space.

FiniteDiff.jl202Fast nonallocating calculations of gradients, Jacobians, and Hessians with sparsity support

IterativeSolvers.jl358Iterative algorithms for solving linear systems, eigensystems, and singular value problems

MultivariatePolynomials.jl117Multivariate polynomials interface

DynamicPolynomials.jl53Multivariate polynomials implementation of commutative and noncommutative variables

Meshes.jl273Computational geometry and meshing algorithms in Julia

StaticArrays.jl643Statically sized arrays for Julia

CDDLib.jl35Cdd wrapper module for Julia. cdd is a library for polyhedra manipulation such as double description and FourierMotzkin elimination

Elemental.jl69Julia interface to the Elemental linear algebra library.

Indicators.jl205Financial market technical analysis & indicators in Julia

Gridap.jl539Gridbased approximation of partial differential equations in Julia

Interpolations.jl444Fast, continuous interpolation of discrete datasets in Julia

BSplines.jl21A Julia package for working with Bsplines

BSplineKit.jl37A collection of Bspline tools in Julia

Dierckx.jl142Julia package for 1d and 2d splines

GraphIO.jl56Graph IO functionality for various formats.

MappedArrays.jl76Lazy inplace transformations of arrays

Krylov.jl265A Julia Basket of HandPicked Krylov Methods

HYPRE.jl26Julia interface to hypre linear solvers (https://github.com/hyprespace/hypre)
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