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  Iterated Crank-Nicolson method for hyperbolic and parabolic equations in numerical relativity

Leiler, G., & Rezzolla, L. (2006). Iterated Crank-Nicolson method for hyperbolic and parabolic equations in numerical relativity. Physical Review D, 73(4): 044001. doi:10.1103/PhysRevD.73.044001.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4AAA-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4AAB-E
Genre: Journal Article

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 Creators:
Leiler, Gregor1, Author
Rezzolla, Luciano1, Author              
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: The iterated Crank-Nicolson is a predictor-corrector algorithm commonly used in numerical relativity for the solution of both hyperbolic and parabolic partial differential equations. We here extend the recent work on the stability of this scheme for hyperbolic equations by investigating the properties when the average between the predicted and corrected values is made with unequal weights and when the scheme is applied to a parabolic equation. We also propose a variant of the scheme in which the coefficients in the averages are swapped between two corrections leading to systematically larger amplification factors and to a smaller numerical dispersion.

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Language(s): eng - English
 Dates: 2006-02
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: eDoc: 298172
ISI: 000235669800034
DOI: 10.1103/PhysRevD.73.044001
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Title: Physical Review D
  Alternative Title : Phys. Rev. D
Source Genre: Journal
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Pages: - Volume / Issue: 73 (4) Sequence Number: 044001 Start / End Page: - Identifier: ISSN: 1550-7998