Essential Perturbation Methods - C.Y. Wang

Essential Perturbation Methods

(Autor)

Buch | Softcover
XI, 150 Seiten
2024 | 2023
Springer International Publishing (Verlag)
978-3-031-26547-1 (ISBN)
74,89 inkl. MwSt

This book presents the modeling and scaling of physical problems, which result in normalized perturbation equations. This is followed by solving perturbation problems and evaluating the results.  The author refines perturbation methods into simple, understandable elements and avoids unnecessary theorems and proofs. In addition, the results are consolidated and interpreted, and the presented examples are succinct to illustrate the essential techniques. This book is ideal and beneficial for practicing scientists and engineers who need to understand and apply perturbation methods to difficult problems with applications in mathematics, engineering, and biology.  Discussions on new perspectives, simpler presentations on convergence, and the expansion of integrals are included.  


 


    

C.Y. Wang, Ph.D., is a Professor in the Department of Mathematics and Adjoint Professor in the Department of Mechanical Engineering at Michigan State University, East Lansing.  He received his B.S. from Taiwan University and Ph.D. from the Massachusetts Institute of Technology.  Dr. Wang has authored two book and approximately 550 journal articles. He has also served as a technical editor of Applied Mechanics Reviews. 

Nondimensionalization and scaling.- Asymptotic expansion.- Basic theory.- Eigenvalue problems.- Perturbation of integrals.- The phase plane.- Periodic and almost periodic solutions.- Singular perturbation and boundary layers.- Other singular problems.- Improving asymptotic series.- Examples in mechanics.

Erscheinungsdatum
Reihe/Serie Synthesis Lectures on Engineering, Science, and Technology
Zusatzinfo XI, 150 p. 65 illus., 8 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 168 x 240 mm
Themenwelt Naturwissenschaften Physik / Astronomie Angewandte Physik
Schlagworte asymptotic series • Biomathematics • boundary layers • Engineering Mathematics • Equations • Exponential Balance • Modeling Physical Problems • Perturbation Equations • Perturbation Methods • singular perturbation
ISBN-10 3-031-26547-5 / 3031265475
ISBN-13 978-3-031-26547-1 / 9783031265471
Zustand Neuware
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