色散方程高阶差分格式的并行迭代法  

A high order parallel iterative scheme for the dispersive equation

作　　者：张青洁[1] 王文洽[1] 

机构地区：[1]山东大学数学与系统科学学院,山东济南250100

出　　处：《山东大学学报（理学版）》2008年第2期8-11,15,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(10671113)

摘　　要：给出了逼近色散方程的高阶隐式差分格式,构造了一种适合并行计算的交替分组迭代格式(NAGI)并证明了此并行迭代格式的收敛性。数值实验表明,此高阶迭代格式具有精度高、收敛快的特点,同时我们也给出了本文方法与(AGI)的数值比较。A high order implicit scheme was presented for the dispersive equation and a corresponding alternating group iterative scheme was derived, which has high accuracy and quick ratio of convergence. The unconditional stability for the implicit scheme and the convergence for the alternating group iterative scheme were also proved. A numerical experiment conformed to theoretical results. A numerical comparison between the scheme mentioned in this paper （NAGI） and a similar known method （AGI） was also presented.

关 键 词：色散方程 有限差分 交替分组迭代格式 高阶精度 绝对稳定 并行计算 

分 类 号：O241.82[理学—计算数学]