Introduction To Perturbation Methods


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Introduction to Perturbation Methods


Introduction to Perturbation Methods

Author: Mark H. Holmes

language: en

Publisher: Springer Science & Business Media

Release Date: 2012-12-05


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This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas. One hundred new pages added including new material on transcedentally small terms, Kummer's function, weakly coupled oscillators and wave interactions.

Introduction to Perturbation Methods


Introduction to Perturbation Methods

Author: Mark H. Holmes

language: en

Publisher: Springer Science & Business Media

Release Date: 1998-06-19


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This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.

Introduction to Perturbation Techniques


Introduction to Perturbation Techniques

Author: Ali H. Nayfeh

language: en

Publisher: John Wiley & Sons

Release Date: 2011-04-08


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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.