线性延迟微分代数方程块隐式θ-方法的渐近稳定性  

ASYMPTOTIC STABILITY OF IMPLICIT BLOCK θ-METHOD FOR LINEAR DELAY DIFFERENTIAL-ALGEBRAIC EQUATIONS

作　　者：徐阳[1] 赵景军[1] 刘明珠[1] 

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001

出　　处：《数值计算与计算机应用》2004年第2期133-137,共5页Journal on Numerical Methods and Computer Applications

摘　　要：This paper is concerned with the asymptotic stability of numerical methods forthe linear delay differential-algebraic equations. A sufficient condition such thatthe implicit block P-method is asymptotically stable is derived. Furthermore, somenumerical examples are done to demonstrate the conclusion.This paper is concerned with the asymptotic stability of numerical methods for the linear delay differential-algebraic equations. A sufficient condition such that the implicit block θ-method is asymptotically stable is derived. Furthermore, some numerical examples are done to demonstrate the conclusion.

关 键 词：延迟微分方程 解析解 数值方法 渐近稳定性 

分 类 号：O175[理学—数学]