Hadamard Expansions and Hyperasymptotic

Hadamard Expansions and Hyperasymptotic
Pris
Pris
589,- 589,-
E-Bok
Format E-Bok
Kopisperre Teknisk DRM
Filformat PDF
Utgivelsesår 2011
Forlag Cambridge University Press
Språk Engelsk
ISBN 9781107109650
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E-Bok Nedlastbar Engelsk

Om Hadamard Expansions and Hyperasymptotic

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.


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