Numerical Linear Algebra Packages
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RungeKuttaFehlberg.jl0A Julia implementation of the RKF45 method for time integration
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RK4.jl0-
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Accelereval.jl1A Julia framework for accelerated re-compiled evaluation.
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ParallelLinalg.jl1Distributed Dense Linear Algebra for Julia
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NumericalShadow.jl3Numerical shadow library for Julia language
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IterativeLinearSolvers.jl3Translations of "Templates for the Solution of Linear Systems: Building, Blocks for Iterative Methods" to Julia
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MiniBall.jl4Julia package for a smallest enclosing sphere for points in arbitrary dimensions
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IncrementalSVD.jl8Incrementally compute an approximate truncated singular value decomposition
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NumericFuns.jl13Math functions and functors for numerical computations
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NumericFunctors.jl13Math functions and functors for numerical computations
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FEMBasis.jl14FEMBasis contains interpolation routines for finite element function spaces. Given ansatz and coordinates of domain, shape functions are calculated symbolically in a very general way to get efficient code. Shape functions can also be given directly and in that case partial derivatives are calculated automatically.
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BSplines.jl26A Julia package for working with B-splines
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Sparspak.jl37Direct solution of large sparse systems of linear algebraic equations in pure Julia
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SpecialMatrices.jl39Julia package for working with special matrix types.
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GenericSVD.jl41Singular Value Decomposition for generic number types
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TetGen.jl42Julia's TetGen wrapper
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RandomizedPreconditioners.jl44-
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KrylovMethods.jl45Simple and fast Julia implementation of Krylov subspace methods for linear systems.
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NumericExtensions.jl57Julia extensions to provide high performance computational support
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TaylorModels.jl63Rigorous function approximation using Taylor models in Julia
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TensorToolbox.jl64Julia package for tensors as multidimensional arrays, with functionalty within Tucker format, Kruskal (CP) format, Hierarchical Tucker format and Tensor Train format.
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ToeplitzMatrices.jl66Fast matrix multiplication and division for Toeplitz matrices in Julia
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Cuba.jl75Library for multidimensional numerical integration with four independent algorithms: Vegas, Suave, Divonne, and Cuhre.
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Elemental.jl78Julia interface to the Elemental linear algebra library.
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NonlinearEigenproblems.jl92Nonlinear eigenvalue problems in Julia: Iterative methods and benchmarks
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ArnoldiMethod.jl96The Arnoldi Method with Krylov-Schur restart, natively in Julia.
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JuliaFEM.jl250The JuliaFEM software library is a framework that allows for the distributed processing of large Finite Element Models across clusters of computers using simple programming models. It is designed to scale up from single servers to thousands of machines, each offering local computation and storage.
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IterativeSolvers.jl401Iterative algorithms for solving linear systems, eigensystems, and singular value problems
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