Accurate computation of Mathieu functions /
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
San Rafael, California (1537 Fourth Street, San Rafael, CA 94901 USA) :
Morgan & Claypool,
2014.
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| Series: | Synthesis lectures on computational electromagnetics ;
# 32. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Abstract: | 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 "tuned" 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. |
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| Item Description: | Series from website. |
| Physical Description: | 1 online resource (x, 123 pages) : illustrations. Also available in print. |
| Format: | Mode of access: World Wide Web. System requirements: Adobe Acrobat Reader. |
| Bibliography: | Includes bibliographical references (pages 119-122). |
| ISBN: | 9781627050869 |
| ISSN: | 1932-1716 ; |
| DOI: | 10.2200/S00526ED1V01Y201307CEM032 |
| Access: | Abstract freely available; full-text restricted to subscribers or individual document purchasers. |