Published April 15, 2000
| Published + Submitted
Journal Article
Open
Stability of the iterated Crank-Nicholson method in numerical relativity
- Creators
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Teukolsky, Saul A.
Abstract
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.
Additional Information
© 2000 American Physical Society. (Received 7 September 1999; published 14 March 2000) This work was supported in part by NSF grant PHY 99-00672 and NASA Grant NAG5-7264 to Cornell University.Attached Files
Published - PhysRevD.61.087501.pdf
Submitted - 9909026.pdf
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Additional details
- Eprint ID
- 86806
- Resolver ID
- CaltechAUTHORS:20180605-153229640
- PHY 99-00672
- NSF
- NAG5-7264
- NASA
- Created
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2018-06-06Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field