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Titlebook: Computation and Asymptotics; Rudrapatna V. Ramnath Book 2012 The Author(s) 2012 Aerospace system.Asymptotic analysis.Asymptotology.Dynamic

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书目名称Computation and Asymptotics
编辑Rudrapatna V. Ramnath
视频videohttp://file.papertrans.cn/233/232041/232041.mp4
概述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.Includes s
丛书名称SpringerBriefs in Applied Sciences and Technology
图书封面Titlebook: Computation and Asymptotics;  Rudrapatna V. Ramnath Book 2012 The Author(s) 2012 Aerospace system.Asymptotic analysis.Asymptotology.Dynamic
描述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, t
出版日期Book 2012
关键词Aerospace system; Asymptotic analysis; Asymptotology; Dynamic Systems; Multiple Scale Theory; Perturbatio
版次1
doihttps://doi.org/10.1007/978-3-642-25749-0
isbn_softcover978-3-642-25748-3
isbn_ebook978-3-642-25749-0Series ISSN 2191-530X Series E-ISSN 2191-5318
issn_series 2191-530X
copyrightThe Author(s) 2012
The information of publication is updating

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Ein mehrdimensionales Burnout-Modells are usually in the form of nonlinear or nonautonomous differential equations. Even simpler models such as linear time-invariant (LTI) systems, in certain situations present difficulties. This is the case, for instance, when the system has widely separated eigenvalues, or equivalently, a mixture of
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Asymptotics and Perturbations are usually in the form of nonlinear or nonautonomous differential equations. Even simpler models such as linear time-invariant (LTI) systems, in certain situations present difficulties. This is the case, for instance, when the system has widely separated eigenvalues, or equivalently, a mixture of
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Introductionpproaches required in the simulation and computation of the dynamics of engineering systems. For this purpose, we will consider a novel look at utilizing a class of classical methods of asymptotic analysis.
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Computation and engineeringsystems. Applied analysts and designers of complex systems rely heavily on numerical solutions to the mathematical models representing a given physical system under study. This leads to the task of computation, which must be accurate and efficient.
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