000841206 000__ 02805cam\a2200397\a\4500
000841206 001__ 841206
000841206 005__ 20210515151807.0
000841206 006__ m\\\\\o\\d\\\\\\\\
000841206 007__ cr\cn\nnnunnun
000841206 008__ 101208s2011\\\\enkad\\\ob\\\\001\0\eng\d
000841206 010__ $$z  2010051563
000841206 020__ $$z9781107002586
000841206 020__ $$z9781107101722$$q(electronic book)
000841206 035__ $$a(MiAaPQ)EBC1179122
000841206 035__ $$a(Au-PeEL)EBL1179122
000841206 035__ $$a(CaPaEBR)ebr10718044
000841206 035__ $$a(CaONFJC)MIL501984
000841206 035__ $$a(OCoLC)850149014
000841206 040__ $$aMiAaPQ$$cMiAaPQ$$dMiAaPQ
000841206 050_4 $$aQA431$$b.P287 2011
000841206 08204 $$a515/.45$$222
000841206 1001_ $$aParis, R. B.
000841206 24510 $$aHadamard expansions and hyperasymptotic evaluation$$h[electronic resource] :$$ban extension of the method of steepest descents /$$cR.B. Paris.
000841206 260__ $$aCambridge ;$$aNew York :$$bCambridge University Press,$$c2011.
000841206 300__ $$aviii, 243 p. :$$bill.
000841206 4901_ $$aEncyclopedia of mathematics and its applications ;$$v141
000841206 504__ $$aIncludes bibliographical references (p. 235-240) and index.
000841206 5058_ $$aMachine generated contents note: Preface -- 1. Asymptotics of Laplace-type integrals -- 2. Hadamard expansion of Laplace integrals -- 3. Hadamard expansion of Laplace-type integrals -- 4. Applications -- Appendix A -- Appendix B -- Appendix C -- References -- Index.
000841206 506__ $$aAccess limited to authorized users.
000841206 520__ $$a"The author describes the recently developed theory of Hadamard expansions applied to the high-precision (hyperasymptotic) evaluation of Laplace and Laplace-type integrals. This brand new method builds on the well-known asymptotic method of steepest descents, of which the opening chapter gives a detailed account illustrated by a series of examples of increasing complexity. A discussion of uniformity problems associated with various coalescence phenomena, the Stokes phenomenon and hyperasymptotics of Laplace-type integrals follows. The remaining chapters deal with the Hadamard expansion of Laplace integrals, with and without saddle points. Problems of different types of saddle coalescence are also discussed. The text is illustrated with many numerical examples, which help the reader to understand the level of accuracy achievable. The author also considers applications to some important special functions. This book is ideal for graduate students and researchers working in asymptotics"--$$cProvided by publisher.
000841206 650_0 $$aIntegral equations$$xAsymptotic theory.
000841206 650_0 $$aAsymptotic expansions.
000841206 830_0 $$aEncyclopedia of mathematics and its applications ;$$vv. 141.
000841206 852__ $$bebk
000841206 85640 $$3ProQuest Ebook Central Academic Complete$$uhttps://univsouthin.idm.oclc.org/login?url=https://ebookcentral.proquest.com/lib/usiricelib-ebooks/detail.action?docID=1179122$$zOnline Access
000841206 909CO $$ooai:library.usi.edu:841206$$pGLOBAL_SET
000841206 980__ $$aEBOOK
000841206 980__ $$aBIB
000841206 982__ $$aEbook
000841206 983__ $$aOnline