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Hadamard Expansions and Hyperasymptotic Evaluation
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The author describes the recently developed theory of Hadamard expansions applied to the high-precision (hyperasymptotic) evaluation of Laplace and Laplace-type integrals


Specifications
  • Hadamard Expansions and Hyperasymptotic Evaluation : An Extension of the Method of Steepest Descents available on June 01 2016 from ECampus for 82.88
  • Hadamard Expansions And Hyperasymptotic Evaluation: An Extension Of The Method Of Steepest Descents available on May 24 2016 from Indigo for 86.95
  • ISBN bar code 9781107002586 ξ2 registered July 21 2013
  • ISBN bar code 9781107002586 ξ3 registered May 24 2016
  • ISBN bar code 9781107002586 ξ1 registered July 03 2012
  • Product category is Book

  • # 9781107002586N
  • # 978110700258

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.


References
    ^ Hadamard Expansions and Hyperasymptotic Evaluation (revised Jul 2012)
    ^ (2013). Hadamard Expansions and Hyperasymptotic Evaluation : An Extension of the Method of Steepest Descents ECampus. (revised Jun 2016)
    ^ Hadamard Expansions And Hyperasymptotic Evaluation: An Extension Of The Method Of Steepest Descents Indigo. (revised May 2016)

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