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Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics by Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni - Paperback
543.39 AED

Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics by Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni - Paperback

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Category Type
Mathematics
ISBN
9783642433955
Author
Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni
Publisher
Springer
Description:

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 their 1988 book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of ...

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PRODUCT INFORMATION

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783642433955
    Languages
    English
    Item EAN
    2724437250972
    People
    Author
    Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni
    Category Type
    Mathematics
    ISBN
    9783642433955
    Languages
    English
    Item EAN
    2724437250972
    People
    Author
    Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni
    People
    Publisher
    Springer
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    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 their 1988

    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 their 1988 book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since then.

    This second new treatment, Evolution to Complex Geometries and Applications to Fluid Dynamics, provides an extensive overview of the essential algorithmic and theoretical aspects of spectral methods for complex geometries, in addition to detailed discussions of spectral algorithms for fluid dynamics in simple and complex geometries. Modern strategies for constructing spectral approximations in complex domains, such as spectral elements, mortar elements, and discontinuous Galerkin methods, as well as patching collocation, are introduced, analyzed, and demonstrated by means of numerous numerical examples. Representative simulations from continuum mechanics are also shown. Efficient domain decomposition preconditioners (of both Schwarz and Schur type) that are amenable to parallel implementation are surveyed. The discussion of spectral algorithms for fluid dynamics in single domains focuses on proven algorithms for the boundary-layer equations, linear and nonlinear stability analyses, incompressible Navier-Stokes problems, and both inviscid and viscous compressible flows. An overview of the modern approach to computing incompressible flows in general geometries using high-order, spectral discretizations is also provided.

    The recent companion book 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 essential concepts and formulas from this book are included in the current text for the reader s convenience.

    Product Features:
    • Category: Mathematics
    • Binding: Paperback
    • Language of Text: English
    • Author(s): Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni
    • Publisher: Springer
    • ISBN: 9783642433955
    • Number of Pages: 596
    • Dimensions: 9.21 x 6.14 x 1.27 inches
 

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