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Numerik partieller Differentialgleichungen: Eine anwendungsorientierte Einfuhrung

Numerik partieller Differentialgleichungen: Eine anwendungsorientierte Einfuhrung (Paperback)

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Dieses Lehrbuch bietet eine Einfuhrung in Diskretisierungsmethoden fur partielle Differentialgleichungen. Im Mittelpunkt steht das Finite-Element-Verfahren, aber es werden auch Finite-Differenzen- und Finite-Volumen-Verfahren behandelt. Basierend auf einer mathematisch prazisen Darstellung von Verfahren und ihrer Theorie spannt der Text den Rahmen bis hin zur Finite-Element-Implementierung. Dies beinhaltet eine Einfuhrung in moderne Entwicklungen wie Multilevel- oder adaptive Verfahren. Das Spektrum der behandelten Differentialgleichungen reicht von linearen elliptischen Randwertaufgaben bis zu - auch konvektionsdominierten - nichtlinearen parabolischen Problemen. Diese werden jeweils durch Modelle aus einem spezifischen Anwendungsgebiet illustriert. Das Lehrbuch entspricht im Umfang etwa einer einsemestrigen Veranstaltung mit Erganzungen und wendet sich an Studierende der Mathematik und der Ingenieur- oder Naturwissenschaften nach dem Vordiplom.

Science & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equations Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 26/04/2000 ISBN-13: 9783540662310  Details: Type: Paperback Format: Books
Availability: To Order. Estimated despatch in 1-3 weeks.  

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