Mathematics Packages
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ArrayInterface.jl125Designs for new Base array interface primitives, used widely through scientific machine learning (SciML) and other organizations
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StochasticDiffEq.jl200Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
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ODEFilters.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing
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ProbNumDiffEq.jl100Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing
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Bessels.jl66Bessel functions for real arguments and orders
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LibCEED.jl148CEED Library: Code for Efficient Extensible Discretizations
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DiffEqBase.jl243The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
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GemmKernels.jl55Flexible and performant GEMM kernels in Julia
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StateSpaceModels.jl235StateSpaceModels.jl is a Julia package for time-series analysis using state-space models.
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AlgebraicPetri.jl64Build Petri net models compositionally
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Ferrite.jl239Finite element toolbox for Julia
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Sobol.jl70Generation of Sobol low-discrepancy sequence (LDS) for the Julia language
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TaylorSeries.jl280Taylor polynomial expansions in one and several independent variables.
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FastChebInterp.jl46Fast multidimensional Chebyshev interpolation and regression in Julia
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AppleAccelerate.jl50Julia interface to the macOS Accelerate framework
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Manifolds.jl297Manifolds.jl provides a library of manifolds aiming for an easy-to-use and fast implementation.
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TaylorDiff.jl45Taylor-mode automatic differentiation for higher-order derivatives
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MutableArithmetics.jl45Interface for arithmetics on mutable types in Julia
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BitIntegers.jl43Fixed-width integers similar to builtin ones
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Rotations.jl145Julia implementations for different rotation parameterizations
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Hecke.jl169Computational algebraic number theory
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FourierTools.jl43Tools for working with Fourier space.
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FiniteDiff.jl202Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support
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IterativeSolvers.jl358Iterative algorithms for solving linear systems, eigensystems, and singular value problems
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MultivariatePolynomials.jl117Multivariate polynomials interface
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DynamicPolynomials.jl53Multivariate polynomials implementation of commutative and non-commutative variables
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Meshes.jl273Computational geometry and meshing algorithms in Julia
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StaticArrays.jl643Statically sized arrays for Julia
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CDDLib.jl35Cdd wrapper module for Julia. cdd is a library for polyhedra manipulation such as double description and Fourier-Motzkin elimination
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Elemental.jl69Julia interface to the Elemental linear algebra library.
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Indicators.jl205Financial market technical analysis & indicators in Julia
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Gridap.jl539Grid-based approximation of partial differential equations in Julia
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Interpolations.jl444Fast, continuous interpolation of discrete datasets in Julia
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BSplines.jl21A Julia package for working with B-splines
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BSplineKit.jl37A collection of B-spline tools in Julia
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Dierckx.jl142Julia package for 1-d and 2-d splines
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GraphIO.jl56Graph IO functionality for various formats.
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MappedArrays.jl76Lazy in-place transformations of arrays
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Krylov.jl265A Julia Basket of Hand-Picked Krylov Methods
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HYPRE.jl26Julia interface to hypre linear solvers (https://github.com/hypre-space/hypre)
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