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Other titles in the Springerbriefs in Applied Sciences and Technology series:

Springerbriefs in Applied Sciences and Technology / Springer #5: Computation and Asymptotics

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Synopses & Reviews

Publisher Comments:

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

Role of Computation.- Outline of Numerical.- Methods.- Asymptotics and Perturbation Theory.- Asymptotology and System Decomposition.- Multiple Scales in Computation.- Examples and Applications.

Product Details

ISBN:
9783642257483
Author:
Ramnath, Rudrapatna V.
Publisher:
Springer
Subject:
Engineering - Mechanical
Subject:
Aerospace system
Subject:
Asymptotic analysis
Subject:
Asymptotology
Subject:
Dynamic Systems
Subject:
Multiple Scale Theory
Subject:
Perturbation theory
Subject:
Rapid computation
Subject:
System Decomposition
Subject:
Theoretical and Applied Mechanics
Subject:
Computational Mathematics and Numerical Analysis
Subject:
Aerospace Technology and Astronautics
Subject:
Science Reference-Technology
Copyright:
Edition Description:
2012
Series:
SpringerBriefs in Applied Sciences and Technology / SpringerBriefs in Computational Mechanics
Series Volume:
5
Publication Date:
20120129
Binding:
TRADE PAPER
Language:
English
Pages:
135
Dimensions:
235 x 155 mm

Related Subjects

Engineering » Mechanical Engineering » General
Reference » Science Reference » Technology
Science and Mathematics » Biology » Genetics
Science and Mathematics » Mathematics » Basics
Transportation » Aviation » General

Springerbriefs in Applied Sciences and Technology / Springer #5: Computation and Asymptotics New Trade Paper
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