SpringerBriefs in Computational Mechanics

Computation and Asymptotics

Authors: Ramnath, Rudrapatna V.

  • Presents high efficiency computational methods using asymptotic analyses
  • Demonstrates a novel approach to make use of the different time constants
  • Includes applications to aerospace systems
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  • ISBN 978-3-642-25749-0
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About this book

This book addresses the task of computation from the standpoint of asymptotic analysis and multiple scales that may be inherent in the system dynamics being studied. This is in contrast to the usual methods of numerical analysis and computation. The technical literature is replete with numerical methods such as Runge-Kutta approach and its variations, finite element methods, and so on. However, not much attention has been given to asymptotic methods for computation, although such approaches have been widely applied with great success in the analysis of dynamic systems. The presence of different scales in a dynamic phenomenon enable us to make judicious use of them in developing computational approaches which are highly efficient. Many such applications have been developed in such areas as astrodynamics, fluid mechanics and so on. This book presents a novel approach to make use of the different time constants inherent in the system to develop rapid computational methods. First, the fundamental notions of asymptotic analysis are presented with classical examples. Next, the novel systematic and rigorous approaches of system decomposition and reduced order models are presented. Next, the technique of multiple scales is discussed. Finally application to rapid computation of several aerospace systems is discussed, demonstrating the high efficiency of such methods.

Table of contents (9 chapters)

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-642-25749-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-642-25748-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Computation and Asymptotics
Authors
Series Title
SpringerBriefs in Computational Mechanics
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
The Author(s)
eBook ISBN
978-3-642-25749-0
DOI
10.1007/978-3-642-25749-0
Softcover ISBN
978-3-642-25748-3
Series ISSN
2191-5342
Edition Number
1
Number of Pages
XV, 120
Number of Illustrations and Tables
37 b/w illustrations
Topics