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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (3): 269-275.

• 论文 • 上一篇    下一篇

ON THE ARBITRARY DIFFERENCE PRECISE INTEGRATION METHOD AND ITS NUMERICAL STABILITY

强士中, 王孝国, 唐茂林, 刘民   

  1. Department of Bridge and Structural Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China
  • 收稿日期:1996-09-02 修回日期:1998-06-10 出版日期:1999-03-18 发布日期:1999-03-18

ON THE ARBITRARY DIFFERENCE PRECISE INTEGRATION METHOD AND ITS NUMERICAL STABILITY

Qiang Shizhong, Wang Xiaoguo, Tang Maolin, Liu Min   

  1. Department of Bridge and Structural Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China
  • Received:1996-09-02 Revised:1998-06-10 Online:1999-03-18 Published:1999-03-18

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摘要： Based on the subdomain precise integration method, the arbitrary difference precise integration method (ADPIM) is presented to solve PDEs. While retaining all the merits of the former method, ADPIM further demonstrates advantages such as the abilities of better description of physical properties of inhomogeneous media and convenient treatment of various boundary conditions. The explicit integration schemes derived by ADPIM are proved unconditionally stable.

关键词: partial differential equations, difference method, numerical stability

Abstract: Based on the subdomain precise integration method, the arbitrary difference precise integration method (ADPIM) is presented to solve PDEs. While retaining all the merits of the former method, ADPIM further demonstrates advantages such as the abilities of better description of physical properties of inhomogeneous media and convenient treatment of various boundary conditions. The explicit integration schemes derived by ADPIM are proved unconditionally stable.

Key words: partial differential equations, difference method, numerical stability

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