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Hierarchical Matrices 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Mario Bebendorf 作者

Springer

译者

2008-6-10 出版日期

312 页数

USD 129.00 价格

Paperback

丛书系列

9783540771463 图书编码

Hierarchical Matrices 在线电子书图书标签: 数学

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Hierarchical Matrices 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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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.

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