On The Computation Of Mathieu Functions
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On the Computation of Mathieu Functions
Author | : Gertrude Blanch |
Publisher | : |
Total Pages | : 20 |
Release | : 1946 |
Genre | : Mathieu functions |
ISBN | : |
Accurate Computation of Mathieu Functions
Author | : Andrew Peterson |
Publisher | : Morgan & Claypool Publishers |
Total Pages | : 135 |
Release | : 2013-09-01 |
Genre | : Technology & Engineering |
ISBN | : 1627050868 |
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.
Tables Relating to Mathieu Functions
Author | : United States. National Bureau of Standards. Computation Laboratory |
Publisher | : |
Total Pages | : 311 |
Release | : 1967 |
Genre | : Mathieu functions |
ISBN | : |
Accurate Computation of Mathieu Functions
Author | : Andrew Peterson |
Publisher | : Springer Nature |
Total Pages | : 123 |
Release | : 2022-06-01 |
Genre | : Technology & Engineering |
ISBN | : 303101717X |
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.
Applied Mathematics Series
Author | : United States. National Bureau of Standards. Computation Laboratory |
Publisher | : |
Total Pages | : 368 |
Release | : 1948 |
Genre | : Mathematics |
ISBN | : |
Tables Relating to Mathieu Functions
Author | : United States. National Bureau of Standards. Computation Laboratory |
Publisher | : |
Total Pages | : 356 |
Release | : 1951 |
Genre | : Mathematics |
ISBN | : |
Table of Characteristic Values of Mathieu's Differential Equation
Author | : Mathematical Tables Project (U.S.) |
Publisher | : |
Total Pages | : 78 |
Release | : 1945 |
Genre | : Mathematics |
ISBN | : |
Theory and Application of Mathieu Functions
Author | : Norman William McLachlan |
Publisher | : |
Total Pages | : 440 |
Release | : 1964 |
Genre | : Harmonic functions |
ISBN | : |
Computation of Special Functions
Author | : Shanjie Zhang |
Publisher | : Wiley-Interscience |
Total Pages | : 752 |
Release | : 1996-07-26 |
Genre | : Computers |
ISBN | : |
Computation of Special Functions is a valuable book/software package containing more than 100 original computer programs for the computation of most special functions currently in use. These include many functions commonly omitted from available software packages, such as the Bessel and modified Bessel functions, the Mathieu and modified Mathieu functions, parabolic cylinder functions, and various prolate and oblate spheroidal wave functions. Also, unlike most software packages, this book/disk set gives readers the latitude to modify programs according to the special demands of the sophisticated problems they are working on. The authors provide detailed descriptions of the program's algorithms as well as specific information about each program's internal structure.