A discretization of the n –dimensional Laplacian for a dimension–independent stability limit
Anand Kumar · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2001
A discretization of the n–dimensional Laplacian employing all the 3n points of the finite–difference stencil has been presented. Using this discretization, the stability limit of the heat conduction and the wave equations are found to become dimension–independent ½ and 1, respectively.