eigen-function

The eigen-relaxation time and eigen-function for viscoelastic toroidal deformation can be analytically given when the total layer number is up to 6 between CMB and earth surface.

当核幔-地表小于6个分层时，本文能解析地给出了粘弹性地球环形场的特征松弛时间。并写出了地表剪切应力激发下的特征函数表达式。

The stiffness matrix was concretely expressed with subsection functions and little parameter, and the system differential function could be simplified into some isolated eigen-function.

将系统位移分为静位移和动位移，用分段函数及小参数表示系统刚度矩阵，导出了系统正则化微分方程。

In this paper we describe the eigen-function expansion for the boundary value problems of electromagnetic theory of cylindrical grating.

本文介绍利用本征函数展开处理圆拄面光栅电磁理论的边值问题。

Wave attenuation properties of rectangular pontoon breakwater were analyzed with eigen-function expansion.

利用特征函数法对矩形浮箱式防浪堤的消浪性能进行分析。

For solving the matrix, we suggest a special iterative method in which the initial values of each iteration are estimated uncommonly. The discrete data of eigen-function would be exact enough when the iteration was run abort 10 to 20 cycles.

本文提出采用叠代法，可求解阶数很高的矩阵，但叠代初值须经特殊处理，经过10～20次的叠代就可得到足够精确的反应器特性函数的离散值。

It is proved with the Prufer ′ s transformation that a classical result due to Sturm remains true: the ( n+ 1)-th eigen-function has exactly n zeros in ( a, b).

文中用Prüfer变换证明，Sturm的一个经典结果仍旧是成立的：即（E0）的第n+1个特征函数在（a，b）恰有n个零点。

Bi-orthogonal eigen-function systems were assigned to launch such a sophisticated problem, and Chebyshev collocation method gained its power in the numerical procedures.

建立问题的双正交系统，并应用Chebyshev配点法对模型问题进行数值求解。