Skip to content
Register Sign in Wishlist

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

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: March 2011
  • availability: Available
  • format: Hardback
  • isbn: 9781107002586

Hardback

Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • 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 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.

    • Presents a brand new method useful for high-precision evaluation
    • Includes a detailed account of the classical method with examples and cases of breakdown due to coalescence problems
    • Illustrated with many numerical examples
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: March 2011
    • format: Hardback
    • isbn: 9781107002586
    • length: 252 pages
    • dimensions: 240 x 160 x 17 mm
    • weight: 0.53kg
    • contains: 70 b/w illus. 30 tables
    • availability: Available
  • Table of Contents

    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.

  • Author

    R. B. Paris, University of Abertay, Dundee
    R. B. Paris is a Reader in Mathematics in the Division of Complex Systems at the University of Abertay, Dundee.

Related Books

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×