Hadamard expansions and hyperasymptotic evaluation : an extension of the method of steepest descents

＜図書＞
Hadamard expansions and hyperasymptotic evaluation : an extension of the method of steepest descents

責任表示	R.B. Paris
シリーズ	Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; 141
データ種別	図書
出版情報	Cambridge [England] : Cambridge University Press , 2011
本文言語	英語
大きさ	viii, 243 p. : ill. ; 24 cm
概要	The author describes the recently developed theory of Hadamard expansions applied to the high-precision (hyperasymptotic) evaluation of Laplace and Laplace-type integrals. This new method builds on th... 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.続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6877966

状態	巻次	所蔵場所	請求記号	刷年	文庫名称	資料番号	コメント	予約・取寄	複写申込	自動書庫
		理系図3F 数理独自	PARI/10/3	2011		033212011000078		予約・取寄			予約・取寄

一般注記	Includes bibliographical references (p. 235-240) and index
著者標目	*Paris, R. B.
件　名	LCSH:Integral equations -- Asymptotic theory 全ての件名で検索 LCSH:Asymptotic expansions FREE:MATHEMATICS / Algebra / Abstract bisacsh
分　類	LCC:QA431 DC22:515/.45
書誌ID	1001446574
ISBN	9781107002586
NCID	BB05403184
巻冊次	ISBN:9781107002586
登録日	2011.04.26
更新日	2011.04.26