This book combines practical aspects of implementation with theoretical analysis of finite difference schemes and partial differences schemes. There is a thorough discussion of the concepts of convergence, consistency, and stability for time-dependent equations. The von Neumann analysis of stability is developed rigorously using the methods of Fourier analysis. Fourier analysis is used throughout the text, providing a unified treatment of the basic concepts and results. A complete proof of the Lax-Richtmyer theorem for equations with constant coefficients is included.
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This book combines practical aspects of implementation with theoretical analysis of finite difference schemes and partial differences schemes. There is a thorough discussion of the concepts of convergence, consistency, and stability for time-dependent equations. The von Neumann analysis of stability is developed rigorously using the methods of Fourier analysis. Fourier analysis is used throughout the text, providing a unified treatment of the basic concepts and results. A complete proof of the Lax-Richtmyer theorem for equations with constant coefficients is included.
This text combines practical aspects of implementation with theoretical analysis of finite difference schemes and partial differences schemes. It offers a discussion of the concepts of convergence, consistency and stability for time-dependent equations. The author rigorously develops the von Neumann analysis of stability using the methods of Fourier analysis throughout the text to provide a unified treatment of the basic concepts and results. A complete proof of the Lax-Richtmyer theorem for equations with constant coefficients is included.
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385 S. mit Abbildungen, 0412072211 Sprache: Englisch Gewicht in Gramm: 750 Groß 8°, Original-Pappband (Hardcover), Bibliotheks-Exemplar (ordungsgemäß entwidmet), Stempel auf Titel, insgesamt gutes und innen sauberes Exemplar, (= Library copy in good condition), Bestandsnummer des Verkäufers 60062
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Hardcover. Zustand: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 1.4. Bestandsnummer des Verkäufers G0412072211I3N00
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