Computation and Asymptotics

Buch | Softcover
XV, 120 Seiten
2012 | 2012
Springer Berlin (Verlag)
978-3-642-25748-3 (ISBN)
64,99 inkl. MwSt
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.

Part I Theory: Introduction.-Computation.- Outline of Numerical Methods.- Asymptotics and Perturbation Theory.- Stiff Systems and Multiple Scales.-Part II Applications.- Example.- Satellite Attitude Prediction.- Attitude Control of Satellites.- Summary and Conclusions.- Part III Appendixes.- A: Gravity Gradient Torque.- B: Geomagnetic Torque.- C: Floquet s Theory.

Erscheint lt. Verlag 13.1.2012
Reihe/Serie SpringerBriefs in Applied Sciences and Technology
SpringerBriefs in Computational Mechanics
Zusatzinfo XV, 120 p. 37 illus.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 218 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Technik Fahrzeugbau / Schiffbau
Technik Maschinenbau
Schlagworte Aerospace system • asymptotic analysis • Asymptotology • Dynamic systems • Multiple Scale Theory • perturbation theory • Rapid computation • System Decomposition
ISBN-10 3-642-25748-8 / 3642257488
ISBN-13 978-3-642-25748-3 / 9783642257483
Zustand Neuware
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