000 03264nam a22004935i 4500
001 978-3-642-25749-0
003 DE-He213
005 20140220083306.0
007 cr nn 008mamaa
008 120110s2012 gw | s |||| 0|eng d
020 _a9783642257490
_9978-3-642-25749-0
024 7 _a10.1007/978-3-642-25749-0
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aSCI041000
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aRamnath, Rudrapatna V.
_eauthor.
245 1 0 _aComputation and Asymptotics
_h[electronic resource] /
_cby Rudrapatna V. Ramnath.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2012.
300 _aXV, 120p. 37 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Applied Sciences and Technology,
_x2191-530X
505 0 _aRole of Computation -- Outline of Numerical -- Methods -- Asymptotics and Perturbation Theory -- Asymptotology and System Decomposition -- Multiple Scales in Computation -- Examples and Applications.
520 _aThis 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 _aEngineering.
650 0 _aComputer science
_xMathematics.
650 0 _aMechanics, applied.
650 0 _aAstronautics.
650 1 4 _aEngineering.
650 2 4 _aTheoretical and Applied Mechanics.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aAerospace Technology and Astronautics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642257483
830 0 _aSpringerBriefs in Applied Sciences and Technology,
_x2191-530X
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-25749-0
912 _aZDB-2-ENG
999 _c102479
_d102479