Computation and Asymptotics

Nonfiction, Science & Nature, Mathematics, Counting & Numeration, Technology, Engineering, Mechanical
Cover of the book Computation and Asymptotics by Rudrapatna V. Ramnath, Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Rudrapatna V. Ramnath ISBN: 9783642257490
Publisher: Springer Berlin Heidelberg Publication: January 11, 2012
Imprint: Springer Language: English
Author: Rudrapatna V. Ramnath
ISBN: 9783642257490
Publisher: Springer Berlin Heidelberg
Publication: January 11, 2012
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Berlin Heidelberg

Cover of the book Künstliche Photosynthese by Rudrapatna V. Ramnath
Cover of the book Performance Analysis and Optimization of Multi-Traffic on Communication Networks by Rudrapatna V. Ramnath
Cover of the book Nonsurgical Biliary Drainage by Rudrapatna V. Ramnath
Cover of the book Progress in Planar Optical Waveguides by Rudrapatna V. Ramnath
Cover of the book Global Gravity Field and Its Temporal Variations by Rudrapatna V. Ramnath
Cover of the book Death Receptors and Cognate Ligands in Cancer by Rudrapatna V. Ramnath
Cover of the book Prostate Cancer Prevention by Rudrapatna V. Ramnath
Cover of the book Transactions on Large-Scale Data- and Knowledge-Centered Systems XX by Rudrapatna V. Ramnath
Cover of the book From Atom Optics to Quantum Simulation by Rudrapatna V. Ramnath
Cover of the book Fundamentals of the Physics of Solids by Rudrapatna V. Ramnath
Cover of the book Empirische Ökonomie by Rudrapatna V. Ramnath
Cover of the book Untreue zum Nachteil der GmbH by Rudrapatna V. Ramnath
Cover of the book Circadian Clocks by Rudrapatna V. Ramnath
Cover of the book Innovation in der Nachhaltigkeitsforschung by Rudrapatna V. Ramnath
Cover of the book CSR und Wertecockpits by Rudrapatna V. Ramnath
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy