Perturbation Methods in Fluid Mechanics
Author | : Milton Van Dyke |
Publisher | : |
Total Pages | : 252 |
Release | : 1964 |
Genre | : Fluid dynamics |
ISBN | : |
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Author | : Milton Van Dyke |
Publisher | : |
Total Pages | : 252 |
Release | : 1964 |
Genre | : Fluid dynamics |
ISBN | : |
Author | : Milton D. Van Kyke |
Publisher | : |
Total Pages | : 229 |
Release | : 1964 |
Genre | : Fluid dynamics |
ISBN | : |
Author | : Milton Van Dyke |
Publisher | : Parabolic Press, Incorporated |
Total Pages | : 296 |
Release | : 1975 |
Genre | : Science |
ISBN | : |
Author | : Milton D. Van Dyke |
Publisher | : |
Total Pages | : |
Release | : 1975 |
Genre | : Fluid mechanics |
ISBN | : |
Author | : Milton Van Dycke |
Publisher | : |
Total Pages | : 271 |
Release | : 1965 |
Genre | : |
ISBN | : |
Author | : Milton Van Dyke |
Publisher | : |
Total Pages | : 0 |
Release | : 1988 |
Genre | : |
ISBN | : |
Author | : Milton Van Dyke |
Publisher | : |
Total Pages | : 248 |
Release | : 1964 |
Genre | : Fluid dynamics |
ISBN | : |
Author | : AlanW. Bush |
Publisher | : Routledge |
Total Pages | : 320 |
Release | : 2018-05-04 |
Genre | : Mathematics |
ISBN | : 1351425366 |
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.
Author | : Robert E. O'Malley |
Publisher | : Springer |
Total Pages | : 263 |
Release | : 2014-11-19 |
Genre | : Mathematics |
ISBN | : 3319119249 |
This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status. While the approach of the text is sophisticated, the literature is accessible to a broad audience. A particularly valuable bonus are the historical remarks. These remarks are found throughout the manuscript. They demonstrate the growth of mathematical thinking on this topic by engineers and mathematicians. The book focuses on detailing how the various methods are to be applied. These are illustrated by a number and variety of examples. Readers are expected to have a working knowledge of elementary ordinary differential equations, including some familiarity with power series techniques, and of some advanced calculus. Dr. O'Malley has written a number of books on singular perturbations. This book has developed from many of his works in the field of perturbation theory.
Author | : Robert E. Jr. O'Malley |
Publisher | : Elsevier |
Total Pages | : 215 |
Release | : 2012-12-02 |
Genre | : Mathematics |
ISBN | : 0323162274 |
Introduction to Singular Perturbations provides an overview of the fundamental techniques for obtaining asymptomatic solutions to boundary value problems. This text explores singular perturbation techniques, which are among the basic tools of several applied scientists. This book is organized into eight chapters, wherein Chapter 1 discusses the method of matched asymptomatic expansions, which has been frequently applied to several physical problems involving singular perturbations. Chapter 2 considers the nonlinear initial value problem to illustrate the regular perturbation method, and Chapter 3 explains how to construct asymptotic solutions for general linear equations. Chapter 4 discusses scalar equations and nonlinear system, whereas Chapters 5 and 6 explain the contrasts for initial value problems where the outer expansion cannot be determined without obtaining the initial values of the boundary layer correction. Chapters 7 and 8 deal with boundary value problem that arises in the study of adiabatic tubular chemical flow reactors with axial diffusion. This monograph is a valuable resource for applied mathematicians, engineers, researchers, students, and readers whose interests span a variety of fields.