在这篇论文,为分级的波浪方程在一个不规则的格子为数字模拟开发明确的递归公式的一个层次的一个方法被介绍,它的精确性经由 2-D 和 1-D 模型被说明。开发具有在有 M 的两时空的 2M 顺序精确性是一个积极整数因为常规格子被构造第二讨论并且说明的稳定的公式的途径订(M = 1 ) 并且第四份订单(M = 2 ) 递归公式。
In this paper, a method to develop a hierarchy of explicit recursion formulas for numerical simulation in an irregular grid for scalar wave equations is presented and its accuracy is illustrated via 2-D and 1-D models. Approaches to develop the stable formulas which are of 2M-order accuracy in both time and space with Mbeing a positive integer for regular grids are discussed and illustrated by constructing the second order (M= 1) and the fourth order (M = 2) recursion formulas.