Hidden Bibliographic Details
| ISBN: | 9781107089853
1107089859
9780511753626
0511753624
9781107096134
1107096138
9781107101722
1107101727
9781107101722
9781107002586
1107002583
1139887246
9781139887243
1107104165
9781107104167
1107093066
9781107093065
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| Digital file characteristics: | data file
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| Notes: | Includes bibliographical references (pages 235-240) and index.
English.
Print version record.
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| Summary: | "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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| Other form: | Print version: Paris, R.B. (Richard Bruce), 1946- Hadamard Expansions and Hyperasymptotic Evaluation. Cambridge ; New York : Cambridge University Press, 2011, ©2011 9781107002586
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