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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Accurate Computation of Mathieu Functions

Accurate Computation of Mathieu Functions

Peterson, Andrew
Bibby, Malcolm

Paperback

Series: Synthesis Lectures on Computational Electromagnetics

Technology & EngineeringCalculusProgramming

ISBN10: 3031005899
ISBN13: 9783031005893
Publisher: Springer Nature
Published: Oct 15 2013
Pages: 123
Weight: 0.54
Height: 0.29 Width: 7.50 Depth: 9.25
Language: English
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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