Ebook > Sciences > Math > Aslak Tveito & Ragnar Winther: Einführung in partielle Differentialgleichungen (PDF)

Aslak Tveito & Ragnar Winther
Einführung in partielle Differentialgleichungen
Ein numerischer Zugang

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Cover of Aslak Tveito & Ragnar Winther: Einführung in partielle Differentialgleichungen (PDF)

In diesem Buch werden die Grundlagen partieller Differentialgleichungen sowie mit der Untersuchung numerischer Methoden für diese partiellen Differentialgleichungen in Zusammenhang stehende wichtige Überlegungen vorgestellt. Standardthemen wie Trennung der Variablen, Fourier Analysis, Maximumprinzipien und Energieabschätzungen werden behandelt. Numerische Verfahren werden parallel zur klassischen Theorie vorgestellt. Die Eigenschaften von Differentialgleichungen werden anhand numerischer Experimente veranschaulicht, und die Theorie der finiten Differentialapproximationen wird entwickelt. Numerische Verfahren werden eingeführt, um die Bedeutung des Rechnens bei partiellen Differentialgleichungen zu zeigen und die starke Interaktion zwischen mathematischer Theorie und der Entwicklung numerischer Verfahren zu illustrieren. Besonderer Wert wurde im gesamten Buch auf eine möglichst gleichgewichtige Darstellung der analytischen und der numerischen Verfahren gelegt.

€25.96

Language German ● Format PDF ● ISBN 9783642562273 ● Translator H.P. Kiani ● Publisher Springer Berlin Heidelberg ● Published 2013 ● Downloadable 3 times ● Currency EUR ● ID 6379771 ● Copy protection Adobe DRM

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