Hadamard Expansions and Hyperasymptotic Evaluation: An Extension of the Method of Steepest Descents (Encyclopedia of Mathematics and its Applications)

Paris, R. B.

ISBN 10: 1107002583 / ISBN 13: 9781107002586

Published by Cambridge University Press, 2011

About this Item

Like new unused condition hardcover with little wear.

Seller Inventory # 9999-9991622606

Bibliographic Details

• Title: Hadamard Expansions and Hyperasymptotic Evaluation: An Extension of the Method of Steepest Descents (Encyclopedia of Mathematics and its Applications)
• Publisher: Cambridge University Press
• Publication Date: 2011
• Language: English
• ISBN 10: 1107002583
• ISBN 13: 9781107002586
• Binding: Hardcover
• Condition: As New

About this title

Synopsis

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.

About the Author

R. B. Paris is a Reader in Mathematics in the Division of Complex Systems at the University of Abertay, Dundee.