Książka Hierarchical Matrices Mario Bebendorf

Hierarchical Matrices

A Means to Efficiently Solve Elliptic Boundary Value Problems

Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
677.29
Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2008
strony
296
EAN
9783540771463
ISBN
3540771468
Enbook ID
01569681
Waga
533
Wymiary
155 x 235 x 20

Pełny opis

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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