| 000 | 02556nam a22003738i 4500 | ||
|---|---|---|---|
| 001 | CR9780511753626 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160236.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 100422s2011||||enk o ||1 0|eng|d | ||
| 020 | _a9780511753626 (ebook) | ||
| 020 | _z9781107002586 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA431 _b.P287 2011 |
| 082 | 0 | 0 |
_a515/.45 _222 |
| 100 | 1 |
_aParis, R. B., _eauthor. |
|
| 245 | 1 | 0 |
_aHadamard Expansions and Hyperasymptotic Evaluation : _ban Extension of the Method of Steepest Descents / _cR.B. Paris. |
| 246 | 3 | _aHadamard Expansions & Hyperasymptotic Evaluation | |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2011. |
|
| 300 |
_a1 online resource (viii, 243 pages) : _bdigital, PDF file(s). |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 1 |
_aEncyclopedia of mathematics and its applications ; _vvolume 141 |
|
| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _aPreface; 1. Asymptotics of Laplace-type integrals; 2. Hadamard expansion of Laplace integrals; 3. Hadamard expansion of Laplace-type integrals; 4. Applications. | |
| 520 | _aThe 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. | ||
| 650 | 0 |
_aIntegral equations _xAsymptotic theory. |
|
| 650 | 0 | _aAsymptotic expansions. | |
| 776 | 0 | 8 |
_iPrint version: _z9781107002586 |
| 830 | 0 |
_aEncyclopedia of mathematics and its applications ; _vv. 141. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511753626 |
| 999 |
_c518104 _d518102 |
||