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单支方法的收敛性与稳定性
Convergence and Stability of One-leg Methods
【摘要】 本文针对Banach空间中一类非刚性问题,构造了一类单支方法,证明了该方法是稳定的,且当其q阶相容时是q阶收敛的.此外,还给出了该方法的一个整体截断误差的先验界.
【Abstract】 In this paper,a class of one-leg methods for non-stiff problems in a Banach space is constructed.It is proved that these methods are stable and convergent oforder q when they are consistent of order q,In addition,a forecast bound of the globaltruncated error for the methds is presented.
- 【文献出处】 湖南大学学报(自然科学版) ,JOURNAL OF HUNAN UNIVERSITY(NATURNAL SCIENCES) , 编辑部邮箱 ,1995年04期
- 【分类号】O241.81
- 【被引频次】1
- 【下载频次】82