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Hadamard Expansions and Hyperasymptotic Evaluation : An Extension of the Method of Steepest Descents /

"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
Main Author: Paris, R. B.
Format: Printed Book
Language:English
Published: Cambridge ; New York : Cambridge University Press, 2011, ©2011.
Series:Encyclopedia of Mathematics and Its Applications ; 141
Subjects:
Online Access:Cover image
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.