\input zb-basic \input zb-ioport \iteman{io-port 02208203} \itemau{Liu, Xiaoyu; Zhao, Kai; Lu, Jinfu} \itemti{A parallel algorithm for the convection diffusion problem.} \itemso{Tsinghua Sci. Technol. 9, No. 4, 468-471 (2004).} \itemab 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. \itemrv{Michael Junk (Konstanz)} \itemcc{} \itemut{parallel algorithm; group explicit method; finite difference; numerical examples; convection dominated diffusion equation; stability} \itemli{} \end