Scientific Computation

Spectral Methods in Fluid Dynamics

Authors: Canuto, C., Hussaini, M.Y., Quarteroni, A.M., Zang, Th.A.,.J.

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About this Textbook

This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as examples of the methods have been methods and later in great detail after the specifics covered. This book pays special attention to those algorithmic details which are essential to successful implementation of spectral methods. The focus is on algorithms for fluid dynamical problems in transition, turbulence, and aero­ dynamics. This book does not address specific applications in meteorology, partly because of the lack of experience of the authors in this field and partly because of the coverage provided by Haltiner and Williams (1980). The success of spectral methods in practical computations has led to an increasing interest in their theoretical aspects, especially since the mid-1970s. Although the theory does not yet cover the complete spectrum of applications, the analytical techniques which have been developed in recent years have facilitated the examination of an increasing number of problems of practical interest. In this book we present a unified theory of the mathematical analysis of spectral methods and apply it to many of the algorithms in current use.

Table of contents (13 chapters)

  • Introduction

    Canuto, Claudio (et al.)

    Pages 1-30

  • Spectral Approximation

    Canuto, Claudio (et al.)

    Pages 31-75

  • Fundamentals of Spectral Methods for PDEs

    Canuto, Claudio (et al.)

    Pages 76-93

  • Temporal Discretization

    Canuto, Claudio (et al.)

    Pages 94-123

  • Solution Techniques for Implicit Spectral Equations

    Canuto, Claudio (et al.)

    Pages 124-182

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-84108-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-3-540-52205-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Spectral Methods in Fluid Dynamics
Authors
Series Title
Scientific Computation
Copyright
1988
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-84108-8
DOI
10.1007/978-3-642-84108-8
Softcover ISBN
978-3-540-52205-8
Series ISSN
1434-8322
Edition Number
1
Number of Pages
XVI, 568
Number of Illustrations and Tables
6 b/w illustrations
Topics