Iterative algorithms for solving linear systems, eigensystems, and singular value problems

The 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.

The Arnoldi Method with Krylov-Schur restart, natively in Julia.

Nonlinear eigenvalue problems in Julia: Iterative methods and benchmarks

Julia interface to the Elemental linear algebra library.

Library for multidimensional numerical integration with four independent algorithms: Vegas, Suave, Divonne, and Cuhre.

Fast matrix multiplication and division for Toeplitz matrices in Julia

Julia package for tensors as multidimensional arrays, with functionalty within Tucker format, Kruskal (CP) format, Hierarchical Tucker format and Tensor Train format.

Rigorous function approximation using Taylor models in Julia

Julia extensions to provide high performance computational support

Simple and fast Julia implementation of Krylov subspace methods for linear systems.

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Julia's TetGen wrapper

Singular Value Decomposition for generic number types

Julia package for working with special matrix types.

Direct solution of large sparse systems of linear algebraic equations in pure Julia

A Julia package for working with B-splines

FEMBasis 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.

Math functions and functors for numerical computations

Math functions and functors for numerical computations

Incrementally compute an approximate truncated singular value decomposition

Julia package for a smallest enclosing sphere for points in arbitrary dimensions

Numerical shadow library for Julia language

Translations of "Templates for the Solution of Linear Systems: Building, Blocks for Iterative Methods" to Julia

Distributed Dense Linear Algebra for Julia

A Julia framework for accelerated re-compiled evaluation.

A Julia implementation of the RKF45 method for time integration

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