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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Bibliographic Details
Superior document:Encyclopedia of mathematics and its applications ; 141
:
TeilnehmendeR:
Year of Publication:2011
Language:English
Series:Encyclopedia of mathematics and its applications ; v. 141.
Online Access:
Physical Description:viii, 243 p. :; ill.
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Table of 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.