On the Stability of the Iterated Crank-Nicholson Method in Numerical Relativity

Details On the Stability of the Iterated Crank-Nicholson Method in Numerical Relativity On the Stability of the Iterated Crank-Nicholson Method in Numerical Relativity

1999-09-07

arxiv.org/abs/gr-qc/9909026v1

Phys.Rev. D61 (2000) 087501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

2 pages

Scientific paper

10.1103/PhysRevD.61.087501

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.

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