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The Variable Coefficient ABE-I Method and Its Stability
作者姓名:吕桂霞  马富明
作者单位:Institute of Mathematics,Jilin University,Changchun,130012,Institute of Mathematics,Jilin University,Changchun,130012
基金项目:Project supported by Special Funds for Major State Basic Research Projects (G1999032802) in China and NNSF (10076006) of China.
摘    要:The ABE-I (Alternating Block Explicit-Implicit) method for diffusion problem is extended to solve the variable coefficient problem and the unconditional stability of the ABE-I method is proved by the energy method.

关 键 词:ABE-I  变量系数  稳定性  扩散方程

The Variable Coefficient ABE-I Method and Its Stability
LU Gui-xia and MA Fu-ming.The Variable Coefficient ABE-I Method and Its Stability[J].Northeastern Mathematical Journal,2005,21(3):271-282.
Authors:LU Gui-xia and MA Fu-ming
Institution:Institute of Mathematics, Jilin University, Changchun, 130012
Abstract:The ABE-I (Alternating Block Explicit-Implicit) method for diffusion problem is extended to solve the variable coefficient problem and the unconditional stability of the ABE-I method is proved by the energy method.
Keywords:parallel numerical method  unconditional stability  the energy method
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