Hierarchical Matrices pdf epub mobi txt 电子书下载 2024

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Mario Bebendorf

Springer

2008-6-10

312

USD 129.00

Paperback

9783540771463

图书标签: 数学

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发表于2024-11-08

Hierarchical Matrices epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Hierarchical Matrices pdf epub mobi txt 电子书下载 2024

图书描述

Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be exploited to setup approximate preconditioners in an efficient and convenient way. Besides the algorithmic aspects of hierarchical matrices, the main aim of this book is to present their theoretical background. The book contains the existing approximation theory for elliptic problems including partial differential operators with nonsmooth coefficients. Furthermore, it presents in full detail the adaptive cross approximation method for the efficient treatment of integral operators with non-local kernel functions. The theory is supported by many numerical experiments from real applications.

Hierarchical Matrices 下载 mobi epub pdf txt 电子书