02208203

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02208203 Liu, Xiaoyu Zhao, Kai Lu, Jinfu A parallel algorithm for the convection diffusion problem. Tsinghua Sci. Technol. 9, No. 4, 468-471 (2004). 2004 Tsinghua University Press, Beijing EN parallel algorithm group explicit method finite difference numerical examples convection dominated diffusion equation stability The authors develop a group explicit method for the convection dominated diffusion equation in two space dimensions. The algorithm is based on dimensional splitting where in each direction a second-order compact upwid scheme is used. The stability in the $L^2$ sense is proved. A numerical test case (Gaussian moving with constant velocity) is used to illustrate the parallel efficiency of their implementation. Michael Junk (Konstanz)