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求解stiff常微分方程的二阶导数多步方法
A CLASS OF SECOND DERIVTIVE MULTSTEP METHODS FOR SOLVING STIFF ODE’S
【摘要】 本文给出含有二阶导数k步k+2阶的方法,其系数表达式是容易在计算机生成的。文中还构造出一类stiff稳定的含有二阶导数的多步方法,它们与文[1]、[2]中所述方法相比较,改进了方法的稳定性。这些方法适合求解stiff方程。
【Abstract】 In this paper a class of stiffly stable second derivative multistep of the same accuracy, its absolute stability region is larger than that of Enright’s 1 and Cnakravarti’s Method 2. The general linear k-step methods of k+2 order are given, Their coefficients are easily generated in the computer. Such methods arc papropritae for sloving stiff systems.
【关键词】 stiff 方程组;
二阶导数多步方法;
绝对稳定域;
【Key words】 stigg systems; second derivative multistep methods; agbvsolute stability regions;
【Key words】 stigg systems; second derivative multistep methods; agbvsolute stability regions;
- 【文献出处】 南京大学学报(自然科学版) ,Journal of Nanjing University(Natural Sciences) , 编辑部邮箱 ,1990年02期
- 【被引频次】3
- 【下载频次】50