عنوان

Hadamard Expansions and Hyperasymptotic Evaluation :

شابک

1107002583 (hardback)

شابک

9781107002586 (hardback)

شماره

dltt

عنوان اصلي

Hadamard Expansions and Hyperasymptotic Evaluation :

نام عام مواد

[Book]

ساير اطلاعات عنواني

An Extension of the Method of Steepest Descents /

نام نخستين پديدآور

R.B. Paris

محل نشرو پخش و غیره

New York :

نام ناشر، پخش کننده و غيره

Cambridge University Press,

تاریخ نشرو بخش و غیره

2011, ©2011

نام خاص و کميت اثر

viii, 243 pages :

ساير جزييات

illustrations ;

ابعاد

24 cm

عنوان فروست

Encyclopedia of Mathematics And Its Applications ;

مشخصه جلد

141

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Machine generated contents note: Preface; 1. Asymptotics of Laplace-type integrals; 2. Hadamard expansion of Laplace integrals; 3. Hadamard expansion of Laplace-type integrals; 4. Applications; Appendix A; Appendix B; Appendix C; References; Index

بدون عنوان

8

متن يادداشت

"The author describes the recently developed theory of Hadamard expansions applied to the high-precision (hyperasymptotic) evaluation of Laplace and Laplace-type integrals. This brand new method builds on the well-known asymptotic method of steepest descents, of which the opening chapter gives a detailed account illustrated by a series of examples of increasing complexity. A discussion of uniformity problems associated with various coalescence phenomena, the Stokes phenomenon and hyperasymptotics of Laplace-type integrals follows. The remaining chapters deal with the Hadamard expansion of Laplace integrals, with and without saddle points. Problems of different types of saddle coalescence are also discussed. The text is illustrated with many numerical examples, which help the reader to understand the level of accuracy achievable. The author also considers applications to some important special functions. This book is ideal for graduate students and researchers working in asymptotics"--

موضوع مستند نشده

Asymptotic expansions

موضوع مستند نشده

Integral equations-- Asymptotic theory

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Paris, R. B.

تاريخ عمليات

20110606114119.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y