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常系数双曲型不连续初值多重套网格可分离差分法
引用本文:陈传淡,陈友滨.常系数双曲型不连续初值多重套网格可分离差分法[J].厦门大学学报(自然科学版),1994(6).
作者姓名:陈传淡  陈友滨
摘    要:叙述常系数双曲型偏微分方程式具有连续初值情形的多重套网格差分逼近的稳定性判别法,讨论当初值不连续时避免出现阻尼现象、前超现象或后超现象,提出可分离奇性常系数双曲型多重套网格差分法,所附的计算例子,说明这个方法是符合实际,切实可行。

关 键 词:多重套网格,可分离差分方法,双曲型方程组,不连续初值问题

The Separable Multiple Nesting Grid Difference Methods of the Discontinuous Initial-value Problem for the Constant Hyperbolic Systems
Chen Chuandan,Chen Youbin.The Separable Multiple Nesting Grid Difference Methods of the Discontinuous Initial-value Problem for the Constant Hyperbolic Systems[J].Journal of Xiamen University(Natural Science),1994(6).
Authors:Chen Chuandan  Chen Youbin
Institution:Dept.of Math.
Abstract:The multiple nesting grid difference methods for the hyperbolic cortinu-ous initial-value problems with constant coefficient are obtained.With respect to the discon-tinuous initial-value problems,the separable multiple nesting grid difference methods and itsstable numerical results are presented.
Keywords:Multiple nesting grid  Separable difference method  Hyperbolic sys-tems  Discontinuous initial-value problems
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