Description: Hierarchical Matrices : A Means to Efficiently Solve Elliptic Boundary Value Problems, Paperback by Bebendorf, Mario, ISBN 3540771468, ISBN-13 9783540771463, Brand New, Free shipping in the US Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, ., 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. Th 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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Book Title: Hierarchical Matrices : A Means to Efficiently Solve Elliptic Bou
Number of Pages: Xvi, 296 Pages
Publication Name: Hierarchical Matrices : a Means to Efficiently Solve Elliptic Boundary Value Problems
Language: English
Publisher: Springer Berlin / Heidelberg
Subject: Differential Equations / General, Numerical Analysis, Matrices, Differential Equations / Partial
Publication Year: 2008
Item Weight: 18.8 Oz
Type: Textbook
Author: Mario Bebendorf
Subject Area: Mathematics
Item Length: 9.3 in
Item Width: 6.1 in
Series: Lecture Notes in Computational Science and Engineering Ser.
Format: Trade Paperback
