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一般线性方法的线性与非线性稳定性间的关系

THE RELATION BETWEEN LINEAR AND NONLINEAR STABILITY OF GENERAL LINEAR METHODS
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摘要 Some new concepts of stability are introduced for general linear methods, and algebraic conditions for stability of the methods are proposed which are suitable not only for implicit methods but also for explicit methods. Our results characterize the interrelation between linear and nonlinear stability so that new evidence for the construction of efficient and stable methods is offered. Some new concepts of stability are introduced for general linear methods, and algebraic conditions for stability of the methods are proposed which are suitable not only for implicit methods but also for explicit methods. Our results characterize the interrelation between linear and nonlinear stability so that new evidence for the construction of efficient and stable methods is offered.
作者 阮保庚
机构地区 番禺师专数学系
出处 《计算数学》 CSCD 北大核心 2000年第1期13-20,共8页 Mathematica Numerica Sinica
关键词 数值分析 一般线性方法 稳定性 线性 非线性 Numerical analysis, general linear methods, stability
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