| Mathieu函数及其加法定理的数值计算 |
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| 引用本文： | 葛俊祥,林为干.Mathieu函数及其加法定理的数值计算[J].计算物理,1994,11(4):472-476. |
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| 作者姓名： | 葛俊祥 林为干 |
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| 作者单位： | 1. 北京航空航天大学电子系, 北京 100083;2. 电子科技大学应用所, 成都 610054 |
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| 摘 要： | 利用Mathieu函数的级数展开及其特征值的数值迭代多项式,数值计算了Mathieu函数及其加法定理。当r≤30、0≤q≤50时,所编制的程序在微机上的数值结果与文献1]结果相吻合,其计算精度达10-5。
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| 关 键 词： | Mathieu函数 加法定理 数值计算 |
| 收稿时间： | 1993-05-13 |
| 修稿时间： | 1994-02-26 |
NUMERICAL COMPUTATION OF MATHIEU FUNCTION AND ITS ADDITION THEOREM |
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| Ge Junxiang,Lin Weigan.NUMERICAL COMPUTATION OF MATHIEU FUNCTION AND ITS ADDITION THEOREM[J].Chinese Journal of Computational Physics,1994,11(4):472-476. |
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| Authors: | Ge Junxiang Lin Weigan |
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| Institution: | 1. Department of Electronic Engineering Beijing University of Aeronautics and Astronautics, Beijing 100083 P. R. China;2. Institute of Applied Physics University of Electronic Science and Technology of china Chengdu 610054 P. R China |
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| Abstract: | Using the series expansion and the iterative multinomial expansion of the characteristic values of the Mathieu functions,Mathieu functions and its addition theorem are evaluated numerically.Calculated results are in largely conformity with the reference 1],and the precision appears an accuracy of better than 10-5 in the range r≤30 and 0≤ q≤ 50. |
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| Keywords: | mathieu function addition theorem numerical completion |
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