An Improved Second Order Finite Difference Analogue for the Laplacian Operator

[摘要] Second order finite difference analogues to the two and three dimensional Laplacian operator are presented. These analogues have the property that for a general function there is a minimum of second order error. If a function is defined only at specified points, these analogues are the best possible approximation to the differential operator.

[学科分类] 大气科学