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Hadamard Expansions and Hyperasymptotic Evaluation on Hardback by R.B. Paris
Hadamard Expansions and Hyperasymptotic Evaluation on Hardback by R.B. Paris
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Hadamard Expansions and Hyperasymptotic Evaluation

An Extension of the Method of Steepest Descents
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Description

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.

Author Biography:

R. B. Paris is a Reader in Mathematics in the Division of Complex Systems at the University of Abertay, Dundee.
Release date Australia
March 24th, 2011
Author
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises; 30 Tables, black and white; 70 Line drawings, unspecified
Pages
252
Dimensions
160x240x17
ISBN-13
9781107002586
Product ID
10076097

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