一个保凸性能良好的磨光算子

A Good Conforma Polishins-Operator

给出一个新的磨光算子,其逼近阶为h^2,在逼近阶不降低情形下,其二阶导数逼近阶为h^4,从而具有良好的保凸性能。

This paper presents a good conforma smoothing formula.Comparing withthe approximate degree O(h^2)of the second order difference value of the formula pres-ented in[1],[2],its accuracy can achive to O(h^4)without lownering the approximatedegree.