Introduction to Asymptotic Methods

Informationen zum Autor Gao! David Y. ; Krysko! Vadim A. Klappentext Introduction to Asymptotic Methods introduces mathematical methods of perturbation theory and reviews methods of singular perturbations within the scope of the applications of differential equations. Emphasizing fundamental elements of the mathematical modeling process! this book provides comprehensive coverage of asymptotic approaches! regular and singular perturbations! one-dimensional non-stationary non-linear waves! Pad approximations! oscillators with negative Duffing type stiffness! and differential equations with discontinuous nonlinearities. It also offers a method of construction for canonical variables transformation in parametric form along with a number of examples and applications. Zusammenfassung Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, this book reviews important methods of singular perturbations. Inhaltsverzeichnis Elements of Mathematical Modeling. Expansion of Functions and Mathematical Methods. Regular and Singular Perturbations. Wave-impact Processes. Padé Approximations. Averaging of Ribbed Plates. Chaos Foresight. Continuous Approximation of Discontinuous Systems. Nonlinear Dynamics of a Swinging Oscillator.

Product details

• Authors: Jan Awrejcewicz, David Y. Gao, David Y. Krysko Gao, David Yang Gao, David Yang Awrejcewicz Gao, Vadim A. Krysko, Krysko Vadim A.
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 03.05.2006
• EAN: 9781584886778
• ISBN: 978-1-58488-677-8
• No. of pages: 272
• Series: Modern Mechanics and Mathematics; Modern Mechanics and Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Mathematical Analysis, Calculus & mathematical analysis, Calculus and mathematical analysis, QF;B C;Fg;M8;B C R;C T89;Swinging