Stability of the iterated Crank-Nicholson method in numerical relativity

被引：120

作者：

Teukolsky, SA ^{[1
]}

机构：

[1] Cornell Univ, Newman Lab, Ithaca, NY 14853 USA

来源：

PHYSICAL REVIEW D | 2000年 / 61卷 / 08期

关键词：

D O I：

10.1103/PhysRevD.61.087501

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The iterated Crank-Nicholson method has become a popular algorithm in numerical relativity. We show that one should carry out exactly two iterations and no more. While the limit of an infinite number of iterations is the standard Crank-Nicholson method, it can in fact be worse to do more than two iterations, and it never helps. We explain how this paradoxical result arises.

引用

页数：2

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