Implementing Spectral Methods for Partial ...

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Sprache: Englisch

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Beschreibung

Approximating Functions, Derivatives and Integrals.- Spectral Approximation.- Algorithms for Periodic Functions.- Algorithms for Non-Periodic Functions.- Approximating Solutions of PDEs.- Survey of Spectral Approximations.- Spectral Approximation on the Square.- Transformation Methods from Square to Non-Square Geometries.- Spectral Methods in Non-Square Geometries.- Spectral Element Methods.- Erratum.- Erratum.

Über den Autor

David Kopriva is Professor of Mathematics at the Florida State University, where he has taught since 1985. He is an expert in the development, implementation and application of high order spectral multi-domain methods for time dependent problems. In 1986 he developed the first multi-domain spectral method for hyperbolic systems, which was applied to the Euler equations of gas dynamics.

Zusammenfassung

First book to cover multidomain spectral methods for the numerical solution of time-dependent 1D and 2D partial differential equations

Presented without too much abstract mathematics and minutae

Contains a set of basic examples as building blocks for solving complex PDEs in realistic geometries

With exercises and questions at the end of each chapter

Both an introduction for graduate students and a reference for computational scientists working on numerical solutions of PDEs

Includes supplementary material: [...]

Inhaltsverzeichnis

Details

Erscheinungsjahr:	2010
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Scientific Computation
Inhalt:	xviii 397 S.
ISBN-13:	9789048184842
ISBN-10:	9048184843
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Kopriva, David A.
Hersteller:	Springer Springer Netherland Scientific Computation
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 23 mm
Von/Mit:	David A. Kopriva
Erscheinungsdatum:	19.10.2010
Gewicht:	0,622 kg