mathieu functions meaning in English
马提厄函数
Examples
- Modified mathieu function
修正马提厄函数 - The numerical experiments proved that the improved algorithm has the characteristics of easily to program and precision higher . based on it , detailed computational procedure package and curve storehouse of arbitrary kinds of mathieu function has also been obtained
数值实验证明,这种改进后的算法具有易编程,精确度更高的特点。并在此基础上给出了完整的计算程序包,建立了目前最为完整的mathieu函数曲线库。 - Mathieu function is the base of field theory analysis in elliptical cylinder coordinate system . so , firstly , detail investigation has been given about the problem of numerical analysis of matheiu functions , based on the predecessor ' s contribution , an improved faster algorithm of numerical analysis and confirmation algorithm of matheiu functions has been presented
Mathieu函数是椭圆柱坐标系统下场论分析的基础,因此本文首先对mathieu函数的数值计算问题进行了详细研究,并在前人基础上完善并进一步改进了目前被认为较为可行的数值算法,并提出了验证算法。 - The major achievements are listed as the followings : mathieu functions remain difficult to employ , mainly because of the impossibility of analytically representing them in a simple and handy way . the methods for the computation of all mathieu functions of integer orders for large range of the order n and the parameter q were presented here . the calculations were made by programs using matlab to compute the mathieu functions
本论文的主要工作:由于在使用马丢函数时存在一些困难,主要是因为不能简单方便地对其进行解析表示,我们给出整数阶各类马丢函数的详细计算方法,该方法适合较大范围的阶数n和参数q值,实际计算中采用了matlab软件进行编程实现,并给出了各类马丢函数在自变量和q值两个参数变化下的三维可视化图形。