Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (5): 485-491.

• 论文 • 上一篇    下一篇

NUMERICAL STABILITY ANALYSIS OF NUMERICAL METHODS FOR VOLTERRA INTEGRAL EQUATIONS WITH DELAY ARGUMENT

田红炯, 匡蛟勋   

  1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China
  • 收稿日期:1994-05-30 出版日期:1995-05-18 发布日期:1995-05-18

NUMERICAL STABILITY ANALYSIS OF NUMERICAL METHODS FOR VOLTERRA INTEGRAL EQUATIONS WITH DELAY ARGUMENT

Tian Hong-jiong, Kuang Jiao-xun   

  1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China
  • Received:1994-05-30 Online:1995-05-18 Published:1995-05-18

摘要: The present paper deals with the stability properties of numerical methods for Volterra integral equations with delay argument. We assess the numerical stability of nunterical methods with respect to the followhlg test equations where τ is a positive constant, and p and q are complex valued. We investigate the stability properties of reducible quadrature method~ and θ-methods in the case of the above test equations

关键词: singular perturbation, initial layer, asymptotic expansion, Volterra integral equation, delay, stability regions, reducible quadrature methods, θ-methods

Abstract: The present paper deals with the stability properties of numerical methods for Volterra integral equations with delay argument. We assess the numerical stability of nunterical methods with respect to the followhlg test equations where τ is a positive constant, and p and q are complex valued. We investigate the stability properties of reducible quadrature method~ and θ-methods in the case of the above test equations

Key words: singular perturbation, initial layer, asymptotic expansion, Volterra integral equation, delay, stability regions, reducible quadrature methods, θ-methods

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