Computation and Asymptotics (Record no. 102479)

000 -LEADER
fixed length control field 03264nam a22004935i 4500
001 - CONTROL NUMBER
control field 978-3-642-25749-0
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220083306.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120110s2012 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642257490
-- 978-3-642-25749-0
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-642-25749-0
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number TA349-359
072 #7 - SUBJECT CATEGORY CODE
Subject category code TGMD
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code TEC009070
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI041000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 620.1
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Ramnath, Rudrapatna V.
Relator term author.
245 10 - TITLE STATEMENT
Title Computation and Asymptotics
Medium [electronic resource] /
Statement of responsibility, etc by Rudrapatna V. Ramnath.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 2012.
300 ## - PHYSICAL DESCRIPTION
Extent XV, 120p. 37 illus.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# - SERIES STATEMENT
Series statement 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computer science
General subdivision Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mechanics, applied.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Astronautics.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Engineering.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Theoretical and Applied Mechanics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computational Mathematics and Numerical Analysis.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
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
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title SpringerBriefs in Applied Sciences and Technology,
-- 2191-530X
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-642-25749-0
912 ## -
-- ZDB-2-ENG

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