拟线性抛物型方程组的主对角隐格式

拟线性抛物型方程组的主对角隐格式韩臻，沈隆钧，符鸿源（北京应用物理与计算数学研究所）ＡＤＩＡＧＯＮＡＬＩＭＰＬＩＣＩＴＳＣＨＥＭＥＦＯＲＱＵＡＳＩ－ＬＩＮＥＡＲＰＡＲＡＢＯＬＩＣＳＹＳＴＥＭ￥ＨａｎＺｈｅｎ；ＳｌｉｅｎＬｏｎｇ－ｊｕｎ；ＦｕＨｏｎｇ－...

A DIAGONAL IMPLICIT SCHEME FOR QUASI-LINEAR PARABOLIC SYSTEM

In this paper, a diagonal implicit scheme for solving quasilinear parabolic systems is presented. Every equation of the difference system can be independently solved on each time step and its solution absolutely converges to the accurate solution. Moreover, the algorithm is simple and is approable to MIMD or SIMD parallel computing with a higher degree of parallelism. The new scheme is constructed by adding an artificial viscosity for preserving the absolute convergence and a simple necessary condition about the coefficient of the artificial viscosity is derived. A numerical example is also given, which reveals that the diagonal implicit method is feasible.