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Numerik linearer Gleichungssysteme

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Brand
Springer Nature
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N/A
Part Number
0
GTIN
9783658071998
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New
Product Description

Das Ziel dieses Buches ist eine umfassende Einfhrung in die Lsung groer Gleichungssysteme. Neben direkten Algorithmen wird von den Splitting-Methoden ber Mehrgitterverfahren bis hin zu den aktuellen Krylov-Unterraum-Verfahren (CG, GMRES, BiCGSTAB etc.) eine groe Bandbreite klassischer und moderner Gleichungssystemlser vorgestellt und deren Wirkung sowohl mathematisch als auch in praktischen Anwendungen diskutiert. Desweiteren werden ausfhrlich Prkonditionierungsmethoden zur Beschleunigung bestehender Verfahren beschrieben. Das Buch enthlt alle bentigten Grundlagen, so dass es auch zum Selbststudium sehr gut geeignet ist. Die gewhlte Darstellung der hergeleiteten Algorithmen lsst zudem eine direkte Umsetzung in eine beliebige Programmiersprache zu. Fr gngige Krylov-Methoden sind ausfhrliche MATLAB-Implementierungen im Anhang aufgefhrt. Lsungen und weitere Materialien werden online bereitgestellt.

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