节点文献
一类求解Stiff方程高精度L─稳定的显示单步方法
Class of High Accuracy L-Stable Explicit One-Step Method for Solving Stiff Ordinary Differential Equations
【摘要】 求文在参考文献[1]、[2]的基础上,构造了一类求解Stiff方程组L-稳定的高精度显式单步法.本文方法是对参考文献[1]、[2]中的方法的改进与推广.与现有的隐式方法相比,具有稳定性好,精度高计算简便,适用范围广泛等特点.对于某些类型的Stiff问题是很有效的.
【Abstract】 This paper presents a class of high accuracy L-stable one-step method for Solving stiff ordinary differential equations on the basis of [1] and [2],which improves and extends the method introduced in [1] and [2]. In comparison with same order implicit methods,it has advantages of simple structure, less calculation,good stability and high accuracy,and it is applicable for some types of stiff problems.
【关键词】 Stiff常微分方程组;
L-稳定性;
局部截断误差;
收敛性;
【Key words】 Stiff ordinary differential equations; L-stable; Local truncation error; Convergence;
【Key words】 Stiff ordinary differential equations; L-stable; Local truncation error; Convergence;
- 【文献出处】 西南石油学院学报 ,JOURNAL OF SOUTHWEST--CHINA PETROLEUM INSTITUTE , 编辑部邮箱 ,1994年01期
- 【分类号】O175.1
- 【被引频次】1
- 【下载频次】56