Stability of the iterated Crank-Nicholson method in numerical relativity
- 14 March 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 61 (8) , 087501
- https://doi.org/10.1103/physrevd.61.087501
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.Keywords
All Related Versions
This publication has 3 references indexed in Scilit:
- Stable 3-level leapfrog integration in numerical relativityPhysical Review D, 1998
- Boosted Three-Dimensional Black-Hole Evolutions with Singularity ExcisionPhysical Review Letters, 1998
- Gravitational Wave Extraction and Outer Boundary Conditions by Perturbative MatchingPhysical Review Letters, 1998