书目名称 | Computation and Asymptotics |
编辑 | Rudrapatna V. Ramnath |
视频video | http://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 |  |
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 |
doi | https://doi.org/10.1007/978-3-642-25749-0 |
isbn_softcover | 978-3-642-25748-3 |
isbn_ebook | 978-3-642-25749-0Series ISSN 2191-530X Series E-ISSN 2191-5318 |
issn_series | 2191-530X |
copyright | The Author(s) 2012 |