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Numerik Linearer Gleichungssysteme: Eine Einführung in Moderne Verfahren. Mit Matlab(r)-Implementierungen Von C. Vömel by Andreas Meister

Numerik Linearer Gleichungssysteme: Eine Einführung in Moderne Verfahren. Mit Matlab(r)-Implementierungen Von C. Vömel

by Andreas Meister
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Book cover type: Paperback
  • ISBN13: 9783658071998
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Publication Date:
  • Pages: 276
  • Original Price: USD 39.99
  • Language: German
  • Edition: 5., Uberarb. Au
  • Item Weight: 468 grams
  • BISAC Subject(s): Algebra / Linear

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.

Prof. Dr. Andreas Meister ist Professor für Angewandte Mathematik an der Universität Kassel.

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