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005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310143349.0 |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783642257490 |
|
978-3-642-25749-0 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
620.1 |
Edition number |
23 |
264 #1 - |
-- |
Berlin, Heidelberg : |
-- |
Springer Berlin Heidelberg, |
-- |
2012. |
912 ## - |
-- |
ZDB-2-ENG |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Ramnath, Rudrapatna V. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Computation and Asymptotics |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Rudrapatna V. Ramnath. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XV, 120p. 37 illus. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
SpringerBriefs in Applied Sciences and Technology, |
International Standard Serial Number |
2191-530X |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Role of Computation -- Outline of Numerical -- Methods -- Asymptotics and Perturbation Theory -- Asymptotology and System Decomposition -- Multiple Scales in Computation -- Examples and Applications. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Engineering. |
|
Topical term or geographic name as entry element |
Computer science |
General subdivision |
Mathematics. |
|
Topical term or geographic name as entry element |
Mechanics, applied. |
|
Topical term or geographic name as entry element |
Astronautics. |
|
Topical term or geographic name as entry element |
Engineering. |
|
Topical term or geographic name as entry element |
Theoretical and Applied Mechanics. |
|
Topical term or geographic name as entry element |
Computational Mathematics and Numerical Analysis. |
|
Topical term or geographic name as entry element |
Aerospace Technology and Astronautics. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9783642257483 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-25749-0 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |