【摘要】 在这篇文章中,我们首先介绍了三分谢尔宾斯基垫片和标准拉普拉斯算子;其次,我们推导出了三分谢尔宾斯基垫片上调和函数与双调和函数的算法。图的顶点上这些函数的算法最后得出了预垫片,也就是近似三分谢尔宾斯基垫片。更多还原

【Abstract】 In this paper,first,we introduce the level-3 Sierpinski Gasket and standard Laplacians on it;second,we describe algorithms for the exact computation of harmonic function,bi-harmonic function for the standard Laplacians on the level-3 Sierpinski Gasket(SG3).These algorithms allow for the computation of the values of these functions on the vertices of the graphs,the pre-gaskets Gm,that is approximate SG3.更多还原