عنوان

Perturbation Methods in Applied Mathematics

شابک

9781441928122

شابک

9781475742138

شماره

dltt

عنوان اصلي

Perturbation Methods in Applied Mathematics

نام عام مواد

[Book]

نام نخستين پديدآور

by J. Kevorkian, J. D. Cole.

محل نشرو پخش و غیره

New York, NY :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

1981.

عنوان فروست

Applied Mathematical Sciences,

مشخصه جلد

34

شاپا ي ISSN فروست

0066-5452 ;

متن يادداشت

1 Introduction -- 2 Limit Process Expansions Applied to Ordinary Differential Equations -- 3 Multiple-Variable Expansion Procedures -- 4 Applications to Partial Differential Equations -- 5 Examples from Fluid Mechanics -- Author Index.

بدون عنوان

0

متن يادداشت

This book is a revised and updated version, including a substantial portion of new material, of J. D. Cole's text Perturbation Methods in Applied Mathe matics, Ginn-Blaisdell, 1968. We present the material at a level which assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate level course on the subject. The applied mathematician, attempting to understand or solve a physical problem, very often uses a perturbation procedure. In doing this, he usually draws on a backlog of experience gained from the solution of similar examples rather than on some general theory of perturbations. The aim of this book is to survey these perturbation methods, especially in connection with differ ential equations, in order to illustrate certain general features common to many examples. The basic ideas, however, are also applicable to integral equations, integrodifferential equations, and even to_difference equations. In essence, a perturbation procedure consists of constructing the solution for a problem involving a small parameter B, either in the differential equation or the boundary conditions or both, when the solution for the limiting case B = 0 is known. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of B.

شماره استاندارد بين المللي کتاب و موسيقي

9781441928122

عنوان

Springer eBooks

موضوع مستند نشده

Global analysis (Mathematics).

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Numerical analysis.

مستند نام اشخاص تاييد نشده

Kevorkian, J.

مستند نام اشخاص تاييد نشده

Cole, J. D.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307160800.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y