Introduction to Perturbation Methods
โ Scribed by Mark H. Holmes (auth.)
- Book ID
- 127419601
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 3 MB
- Category
- Library
- City
- New York
- ISBN-13
- 9783540942030
No coin nor oath required. For personal study only.
โฆ Synopsis
This book is an introductory graduate text dealing with many of the perturbation methods currently used by applied mathematicians, scientists, and engineers. The author has based his book on a graduate course he has taught several times over the last ten years to students in applied mathematics, engineering sciences, and physics. The only prerequisite for the course is a background in differential equations. Each chapter begins with an introductory development involving ordinary differential equations. The book covers traditional topics, such as boundary layers and multiple scales. However, it also contains material arising from current research interest. This includes homogenization, slender body theory, symbolic computing, and discrete equations. One of the more important features of this book is contained in the exercises. Many are derived from problems of up- to-date research and are from a wide range of application areas.
โฆ Subjects
Analysis
๐ SIMILAR VOLUMES
This paper is an elementary introduction to the concepts of the homotopy perturbation method. Particular attention is paid to giving an intuitive grasp for the solution procedure throughout the paper.
Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity.This book int
Similarities, differences, advantages and limitations of perturbation techniques are pointed out concisely. The techniques are described by means of examples that consist mainly of algebraic and ordinary differential equations. Each chapter contains a number of exercises.
[by] Robert E. O'malley, Jr. Bibliography: P. 190-201.