gegenbauer polynomial meaning in English

格根包尔多项式

Then the unified approach can be applied to it to acquire the ensemble random evolutionary response . since the normal probability density function ( pdf ) may lead to instability of some sample systems when the random parameters taking sufficiently small negative values , an arch - like pdf and a more adaptable - pdf , together with the matching chebyshev polynomial approximation and gegenbauer polynomial approximation , are suggested . numerical examples show that the suggested methods are effective
相比较而言，随机模拟法的结果无疑是最可靠的，但是它的计算量嫌大；随机摄动法的计算量远小于随机模拟法，但是它要求随机摄动量必须是一个小量；正交展开法的计算精度好于随机摄动法，其得到结果与随机模拟法得到的结果几乎吻合，其计算量略多于随机摄动法，但与随机模拟法相比要少的多，不过计算前的准备工作较费时。