Accurate Computation of Mathieu Functions

Accurate Computation of Mathieu Functions

4.11 - 1251 ratings - Source

This lecture presents a modern approach for the computation of Mathieu functions. These functions find application in boundary value analysis such as electromagnetic scattering from elliptic cylinders and flat strips, as well as the analogous acoustic and optical problems, and many other applications in science and engineering. The authors review the traditional approach used for these functions, show its limitations, and provide an alternative qtunedq approach enabling improved accuracy and convergence. The performance of this approach is investigated for a wide range of parameters and machine precision. Examples from electromagnetic scattering are provided for illustration and to show the convergence of the typical series that employ Mathieu functions for boundary value analysis.3 [39] B. T. Smith, J. M. Boyle, J. J. Dongarra, B. S. Garbow, Y. Ikebe, V. C. Klema, and C. B. Moler, Matrix Eigensystem Routinesa€“EISPACK Guide. ... 9 [40] V. A. Barker, L. S. Blackford, J. Dongarra, J. Du Croz, S. Hammarling, M. Marinova, J. Wasniewski, and P. Yalamov, LAPACK95 Usera#39;s Guide. ... San Rafael: Morgan aamp; Claypool Synthesis Lectures, 2010. ... A. F. Peterson, a€œHigh-order Treatment ofJunctions and Edge Singu- larities with the Locally-corrected NystrApm Method, a€ ACESJ., anbsp;...

Title:Accurate Computation of Mathieu Functions
Author: Andrew Peterson, Malcolm Bibby
Publisher:Morgan & Claypool Publishers - 2013-09-01

You must register with us as either a Registered User before you can Download this Book. You'll be greeted by a simple sign-up page.

Once you have finished the sign-up process, you will be redirected to your download Book page.

How it works:
  • 1. Register a free 1 month Trial Account.
  • 2. Download as many books as you like (Personal use)
  • 3. Cancel the membership at any time if not satisfied.

Click button below to register and download Ebook
Privacy Policy | Contact | DMCA