Spectral Methods : Fundamentals in Single Domains. 1st ed. 2006

種類:

電子ブック

責任表示:

by Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, Thomas A. Zang

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006

著者名:

• Canuto, Claudio.
• Hussaini, M. Yousuff.
• Quarteroni, Alfio.
• Zang, Thomas A.
• SpringerLink (Online service)

シリーズ名:

Scientific Computation ;

ISBN:

9783540307266 [3540307265]    

注記:

Polynomial Approximation -- Basic Approaches to Constructing Spectral Methods -- Algebraic Systems and Solution Techniques -- Polynomial Approximation Theory -- Theory of Stability and Convergence -- Analysis of Model Boundary-Value Problems -- Erratum.
Since the publication of "Spectral Methods in Fluid Dynamics", spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of the earlier book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since 1988. The initial treatment Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions. The first half of the book provides the algorithmic details of orthogonal expansions, transform methods, spectral discretization of differential equations plus their boundary conditions, and solution of the discretized equations by direct and iterative methods. The second half furnishes a co

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