David A. Kopriva

Implementing Spectral Methods for Partial Differential Equations (eBook, PDF)

Algorithms for Scientists and Engineers

• Format: PDF

Produktdetails

• Verlag: Springer Netherland
• Erscheinungstermin: 27. Mai 2009
• Englisch
• ISBN-13: 9789048122615
• Artikelnr.: 37410829

Autorenporträt

Inhaltsangabe

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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.

Rezensionen

From the reviews:
"This book focuses on the implementation aspects of spectral methods. ... serve as a textbook for graduate students and applied mathematics researchers who seek a practical way to implement spectral algorithms. The presentation is pedagogical, moving from algorithms that are easy to understand to ones that are more complex and involved. ... It is a very recommendable book for a graduate course on spectral methods, and covers more practical subjects that are not usually treated in detail in other monographs on spectral methods." (Javier de Frutos, Mathematical Reviews, Issue 2010 j)