With it, we can construct symmetric interpolating scaling function and its relevant average-interpolating scaling function with support . the former's 1st derivative can be computed with the latter 用它可以构造出具有紧支、插值特性的对称尺度函数和相应的平均插值尺度函数,且利用平均插值尺度函数可计算出相应对称插值尺度函数的一次导数。
With it, we can construct symmetric interpolating scaling function and its relevant average-interpolating scaling function with support . the former's 1st derivative can be computed with the latter 用它可以构造出具有紧支、插值特性的对称尺度函数和相应的平均插值尺度函数,且利用平均插值尺度函数可计算出相应对称插值尺度函数的一次导数。
And we give method how to solve the problem when there are more than one kind of medium or the boundary is abnormity . because using symmetric interpolating seal function as the kisis con'pmied by its rele ^ a'it average-interpolating scaling function, the error can be less than computed by traditional method 由于选取对称尺度函数作为基函数,它的一次导数可利用与其对应的平均插值尺度函数来计算,这样可有效地降低用传统方法计算带来的误差。
In this paper, we use the symmetric interpolating scaling function as the basis for the resolution space . the specialty of wavelet interpolation galerkin method ( wigm ) is : the wavelet coefficients are the values of function at the equinoxes because of the character of interpolation of the basis function 小波插值galerkin法(简称wigm)的特点在于:基函数的插值特性,使得用尺度函数线性表示被求函数时,其中的小波系数即为函数在二分点上的离散值。