Hadamard expansions and hyperasymptotic evaluation : an extension of the method of steepest descents / / R.B. Paris.
"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...
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Superior document: | Encyclopedia of mathematics and its applications ; 141 |
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Year of Publication: | 2011 |
Language: | English |
Series: | Encyclopedia of mathematics and its applications ;
v. 141. |
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Physical Description: | viii, 243 p. :; ill. |
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(MiAaPQ)5001179122 (Au-PeEL)EBL1179122 (CaPaEBR)ebr10718044 (CaONFJC)MIL501984 (OCoLC)850149014 |
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Paris, R. B. Hadamard expansions and hyperasymptotic evaluation [electronic resource] : an extension of the method of steepest descents / R.B. Paris. Cambridge ; New York : Cambridge University Press, 2011. viii, 243 p. : ill. Encyclopedia of mathematics and its applications ; 141 Includes bibliographical references (p. 235-240) and index. 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. "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"-- Provided by publisher. Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. Integral equations Asymptotic theory. Asymptotic expansions. Electronic books. ProQuest (Firm) Encyclopedia of mathematics and its applications ; v. 141. https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=1179122 Click to View |
language |
English |
format |
Electronic eBook |
author |
Paris, R. B. |
spellingShingle |
Paris, R. B. Hadamard expansions and hyperasymptotic evaluation an extension of the method of steepest descents / Encyclopedia of mathematics and its applications ; 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. |
author_facet |
Paris, R. B. ProQuest (Firm) ProQuest (Firm) |
author_variant |
r b p rb rbp |
author2 |
ProQuest (Firm) |
author2_role |
TeilnehmendeR |
author_corporate |
ProQuest (Firm) |
author_sort |
Paris, R. B. |
title |
Hadamard expansions and hyperasymptotic evaluation an extension of the method of steepest descents / |
title_sub |
an extension of the method of steepest descents / |
title_full |
Hadamard expansions and hyperasymptotic evaluation [electronic resource] : an extension of the method of steepest descents / R.B. Paris. |
title_fullStr |
Hadamard expansions and hyperasymptotic evaluation [electronic resource] : an extension of the method of steepest descents / R.B. Paris. |
title_full_unstemmed |
Hadamard expansions and hyperasymptotic evaluation [electronic resource] : an extension of the method of steepest descents / R.B. Paris. |
title_auth |
Hadamard expansions and hyperasymptotic evaluation an extension of the method of steepest descents / |
title_new |
Hadamard expansions and hyperasymptotic evaluation |
title_sort |
hadamard expansions and hyperasymptotic evaluation an extension of the method of steepest descents / |
series |
Encyclopedia of mathematics and its applications ; |
series2 |
Encyclopedia of mathematics and its applications ; |
publisher |
Cambridge University Press, |
publishDate |
2011 |
physical |
viii, 243 p. : ill. |
contents |
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. |
isbn |
9781107101722 (electronic bk.) |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA431 |
callnumber-sort |
QA 3431 P287 42011 |
genre |
Electronic books. |
genre_facet |
Electronic books. |
url |
https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=1179122 |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515/.45 |
dewey-sort |
3515 245 |
dewey-raw |
515/.45 |
dewey-search |
515/.45 |
oclc_num |
850149014 |
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Encyclopedia of mathematics and its applications ; 141 |
hierarchy_sequence |
v. 141. |
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Hadamard expansions and hyperasymptotic evaluation an extension of the method of steepest descents / |
container_title |
Encyclopedia of mathematics and its applications ; 141 |
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