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GE METHODS FOR THE CONVECTION EQUATIONS

Lu Jinfu, Xiao Shijiang

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1995, 12 (3): 355-362.

Abstract （252）

PDF （400KB）（1074）

A class GE (group explicit) methods for the convection equation based on explicit or implicit upwind schemes are presented. Consistency and (weakly) stability of numerical solutions are proved. Some numerical results illustrating the methods are given.

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A GROUP EXPLICIT METHOD FOR BURGERS EQUATION

Wang Ziding, Lu Jinfu, Xiao Shijiang

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1993, 10 (4): 479-487.

Abstract （236）

PDF （466KB）（1157）

A new group explicit scheme for solving Burgers equation is constructed by the conservative Samarskii scheme. The linear stability of this method is discussed. Some numerical examples are given which illustrated that the present method is more suitable than Evans's method for solving Burgers equation with a large Reynolds number.

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