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Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (6): 533-542.

• 论文 • 上一篇    下一篇

SINGULAR PERTURBATION OF LINEAR ALGEBRAIC EQUATIONS WITH APPLICATION TO STIFF EQUATIONS

林武忠   

  1. East China Normal University, Shanghai
  • 收稿日期:1986-04-10 出版日期:1987-06-18 发布日期:1987-06-18

SINGULAR PERTURBATION OF LINEAR ALGEBRAIC EQUATIONS WITH APPLICATION TO STIFF EQUATIONS

Lin Wu-zhong   

  1. East China Normal University, Shanghai
  • Received:1986-04-10 Online:1987-06-18 Published:1987-06-18

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摘要： In this paper the singular perturbation problem of linear algebraic equations with a small parameter is presented by an example in practice. The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given. Finally, the example mentioned above explaining how to apply the theory to solve the stiff equations is shown.

关键词: semi-submerged body, fluid-structure interaction, finite element method, Arnoldi’s method

Abstract: In this paper the singular perturbation problem of linear algebraic equations with a small parameter is presented by an example in practice. The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given. Finally, the example mentioned above explaining how to apply the theory to solve the stiff equations is shown.

Key words: semi-submerged body, fluid-structure interaction, finite element method, Arnoldi’s method

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