BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods, Carmelo Clavero; Jos? Luis Gracia; Francisco J. Li

Автор: Alan Hegarty; Natalia Kopteva; Eugene O`Riordan; M
Название: BAIL 2008 - Boundary and Interior Layers
ISBN: 3642006043 ISBN-13(EAN): 9783642006043
Издательство: Springer
Рейтинг:
Цена: 19564.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Contains a cross-section of the papers that are presented at the BAIL 2008 conference, which was held from 28 July to 1 August 2008 at the University of Limerick, Ireland. This book gives an overview of the research into many engineering and mathematical problems of a singularly perturbed character.

Автор: Temme Nico M
Название: Asymptotic Methods For Integrals
ISBN: 9814612154 ISBN-13(EAN): 9789814612159
Издательство: World Scientific Publishing
Рейтинг:
Цена: 31680.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals.

The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.