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RETHINKING TO FINITE DIFFERENCE TIME-STEP INTEGRATIONS
作者姓名:钟万勰  朱建平
作者单位:Zhong Wanxie (Researtch Institute of Engineering Mechanics,Dalian University of Technology,Dalian,116023,P. R. China) Zhu Jianping(Dept. Appl. Math.,Mississippi State Univ.,U. S. A.)
摘    要:RETHINKINGTOFINITEDIFFERENCETIME-STEPINTEGRATIONSZhongWanxie(钟万勰)(ReseartchInstituteofEngineeringMechanics,DalianUniversityof...

收稿时间:10 January 1995

Rethinking to finite difference time-step integrations
Zhong Wanxie,Zhu Jianping.RETHINKING TO FINITE DIFFERENCE TIME-STEP INTEGRATIONS[J].Applied Mathematics and Mechanics(English Edition),1995,16(8):705-711.
Authors:Zhong Wanxie  Zhu Jianping
Institution:(1) Research Institute of Engineering Mechanics, Dalian University of Technology, 116023 Dalian, P. R. China;(2) Dept. Appl. Math., Mississippi State Univ., U.S.A.
Abstract:The numerical time step integrations of PDEs are mainly carried out by the finitedifference method to date. However,when the time step becomes longer, it causes theproblem of numerical instability,. The explicit integration schemes derived by the singlepoint precise integration method given in this paper are proved unconditionally stable.Comparisons between the schemes derived by the finite difference method and theschemes by the method employed in the present paper are made for diffusion andconvective-diffusion equations. Nunierical examples show the superiority of the singlepoint integration method.
Keywords:finite difference method  time step integration  numericalstability
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