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一般线性方法的正则性 被引量:2

REGULARITY OF GENERAL LINEAR METHODS
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摘要 In this paper, the concepts of regularity and strong regularity of general. linear methods are introduced. We investigate the conditions which guarantee that general linear methods preserve asymptotic values of the systems of ordinary differential equations. This work extends the existed results of Runge-Kutta methods and linear multistep methods. In this paper, the concepts of regularity and strong regularity of general. linear methods are introduced. We investigate the conditions which guarantee that general linear methods preserve asymptotic values of the systems of ordinary differential equations. This work extends the existed results of Runge-Kutta methods and linear multistep methods.
出处 《计算数学》 CSCD 北大核心 2000年第1期21-28,共8页 Mathematica Numerica Sinica
基金 国家自然科学基金 中国博士后科学基金
关键词 一般线性方法 常微分方程 渐近值 正则性 数值法 General linear methods, Ordinary differential equations, Asymptotic values
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  • 1J. C. Butcher,Z. Jackiewicz. Diagonally implicit general linear methods for ordinary differential equations[J] 1993,BIT(3):452~472
  • 2E. Hairer,A. Iserles,J. M. Sanz-Serna. Equilibria of Runge-Kutta methods[J] 1990,Numerische Mathematik(1):243~254

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