Kniha Hierarchical Matrices Mario Bebendorf

Hierarchical Matrices

A Means to Efficiently Solve Elliptic Boundary Value Problems

Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
3 654
Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2008
Stránek
296
EAN
9783540771463
ISBN
3540771468
Enbook ID
01569681
Hmotnost
533
Rozměry
155 x 235 x 20

Kompletní popis

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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