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Numerik Linearer Gleichungssysteme: Eine Einführung in Moderne Verfahren. Mit Matlab(r)-Implementierungen Von C. Vömel
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ISBN10: 3658071990
ISBN13: 9783658071998
Publisher: Springer Spektrum
Published: Nov 21 2014
Pages: 276
Weight: 1.03
Height: 0.61 Width: 6.61 Depth: 9.45
Language: German
ISBN13: 9783658071998
Publisher: Springer Spektrum
Published: Nov 21 2014
Pages: 276
Weight: 1.03
Height: 0.61 Width: 6.61 Depth: 9.45
Language: German
Das Ziel dieses Buches ist eine umfassende Einführung in die Lösung gro er Gleichungssysteme. Neben direkten Algorithmen wird von den Splitting-Methoden über Mehrgitterverfahren bis hin zu den aktuellen Krylov-Unterraum-Verfahren (CG, GMRES, BiCGSTAB etc.) eine gro e Bandbreite klassischer und moderner Gleichungssystemlöser vorgestellt und deren Wirkung sowohl mathematisch als auch in praktischen Anwendungen diskutiert. Desweiteren werden ausführlich Präkonditionierungsmethoden zur Beschleunigung bestehender Verfahren beschrieben.
Das Buch enthält alle benötigten Grundlagen, so dass es auch zum Selbststudium sehr gut geeignet ist. Die gewählte Darstellung der hergeleiteten Algorithmen lässt zudem eine direkte Umsetzung in eine beliebige Programmiersprache zu. Für gängige Krylov-Methoden sind ausführliche MATLAB(R)-Implementierungen im Anhang aufgeführt. Lösungen und weitere Materialien werden online bereitgestellt.
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