Perturbation methods for engineers and scientists
著者
書誌事項
Perturbation methods for engineers and scientists
CRC Press, c1992
- : softcover
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注記
Bibliography: p. 300
Includes index
内容説明・目次
- 巻冊次
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ISBN 9780849386084
内容説明
Perturbation Methods for Engineers and Scientists examines the main techniques of perturbation expansions applied to both differential equations and integral expressions. It describes several fluid dynamics applications, including aerofoils, boundary layers in momentum heat, and mass transfer. In addition, it applies the multiple scale technique to the description of surface roughness effects in lubrication. The book's intuitive, rather than formal, approach enables these advanced techniques to be used by scientists and engineers as well as by students.
目次
Introduction to Perturbation Expansions
Asymptotics
Strained Co-ordinates
Multiple Scales
Boundary Layers
The Dominant Balance and WKB Methods
The Asymptotic Approximation of Integrals
References and Bibliography
- 巻冊次
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: softcover ISBN 9780849386145
内容説明
The subject of perturbation expansions is a powerful analytical technique which can be applied to problems which are too complex to have an exact solution, for example, calculating the drag of an aircraft in flight. These techniques can be used in place of complicated numerical solutions. This book provides an account of the main techniques of perturbation expansions applied to both differential equations and integral expressions. Features include a non-rigorous treatment of the subject at undergraduate level not available in any other current text; contains computer programs to enable the student to explore particular ideas and realistic case studies of industrial applications; a number of practical examples are included in the text to enhance understanding of points raised, particularly in the areas of mechanics and fluid mechanics; presents the main techniques of perturbation expansion at a level accessible to the undergraduate student.
目次
Preface, 1: Introduction to Perturbation Expansions, 2: Asymptotics, 3 Strained Coordinates, 4: Multiple Scales, 5: Boundary layers, 6: The Dominant Balance and WKB Methods, 7: The Asymptotic Approximation of Integrals, References, Bibliography, Index
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