Accurate Computation of Mathieu Functions
Book Details
Format
Paperback / Softback
ISBN-10
3031005899
ISBN-13
9783031005893
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Oct 15th, 2013
Print length
123 Pages
Weight
264 grams
Dimensions
23.50 x 19.00 x 1.10 cms
Product Classification:
Engineering: generalElectrical engineeringElectronics engineering
Ksh 5,050.00
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This lecture presents a modern approach for the computation of Mathieu functions. The authors review the traditional approach used for these functions, show its limitations, and provide an alternative "tuned" approach enabling improved accuracy and convergence.
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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