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

Informationen zum Autor R. B. Paris is a Reader in Mathematics in the Division of Complex Systems at the University of Abertay, Dundee. Klappentext Describes a new asymptotic method of high-precision evaluation of certain integrals, related to the classical method of steepest descents. Zusammenfassung For applied mathematicians and physical scientists interested in asymptotic calculations! this book describes a brand new method for the high-precision evaluation of Laplace integrals. Developed over the past decade! this method builds on the classical asymptotic method of steepest descents. Many numerical examples are included to illustrate the accuracy achievable. Inhaltsverzeichnis 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.

Product details

• Authors: R. B. Paris, R. B. (University of Abertay Paris
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 24.03.2011
• EAN: 9781107002586
• ISBN: 978-1-107-00258-6
• No. of pages: 252
• Series: Encyclopedia of Mathematics and Its Applications; Encyclopedia of Mathematics an; Encyclopedia of Mathematics and its Applications; Encyclopedia of Mathematics an
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra