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Stability of the iterated Crank-Nicholson method in numerical relativity

Teukolsky, Saul A. (2000) Stability of the iterated Crank-Nicholson method in numerical relativity. Physical Review D, 61 (8). Art. No. 087501. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20180605-153229640

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevD.61.087501DOIArticle
https://arxiv.org/abs/gr-qc/9909026arXivDiscussion Paper
ORCID:
AuthorORCID
Teukolsky, Saul A.0000-0001-9765-4526
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.
Funders:
Funding AgencyGrant Number
NSFPHY 99-00672
NASANAG5-7264
Issue or Number:8
Classification Code:PACS number(s): 04.25.Dm, 04.20.-q, 04.70.-s
Record Number:CaltechAUTHORS:20180605-153229640
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180605-153229640
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86806
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:06 Jun 2018 15:15
Last Modified:22 Nov 2019 09:58

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