Solving Implicit Equations Arising from Adams-Moulton Methods

被引：0
作者：
Tian Min Han
Yuhuan Han
机构：
[1] Electric Power Research Institute Qinghe,Core & XML group
[2] Oracle Corp.,undefined
来源：
BIT Numerical Mathematics | 2002年 / 42卷
关键词：
Adams-Moulton method; Nordsieck method; Gear method; functional iteration; stiff system; simulation;
D O I：
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学科分类号：
摘要：
A new algorithm is given in this paper, which uses functional iteration to solve the implicit equations generated by the Adams-Moulton method. Compared with traditional function iteration, it has three advantages: (1) the center of the circle of convergence for the iteration moves to the left in hλ plane; (2) the radius of the circle is much enlarged; (3) for a fixed number of iterations, in practice, we can view it as an “explicit” method since it has a very large absolute stability region. The method is very suitable for stiff system, especially for very large systems.
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页码：336 / 350
页数：14
相关论文
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