Central Library

Normal view MARC view ISBD view

Essential Perturbation Methods [electronic resource] / by C.Y. Wang.

By: Wang, C.Y [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Synthesis Lectures on Engineering, Science, and Technology: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2023Edition: 1st ed. 2023.Description: XI, 150 p. 65 illus., 8 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783031265457.Subject(s): Biophysics | Biological control systems | Mathematics | Mathematical analysis | Engineering mathematics | Mechanical engineering | Homeostasis, Perturbations, and Biological Networks | Applications of Mathematics | Analysis | Engineering Mathematics | Mechanical EngineeringAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 571.4 Online resources: Click here to access online
Contents:
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.
In: Springer Nature eBookSummary: 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. In addition, this book: Refines perturbation methods into simple, understandable elements for practicing scientists and engineers; Models and scales physical problems resulting in normalized perturbation equations; Contains practical and necessary tools for using and applying perturbation methods.
    average rating: 0.0 (0 votes)
No physical items for this record

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.

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. In addition, this book: Refines perturbation methods into simple, understandable elements for practicing scientists and engineers; Models and scales physical problems resulting in normalized perturbation equations; Contains practical and necessary tools for using and applying perturbation methods.

There are no comments for this item.

Log in to your account to post a comment.