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  Finite difference schemes for second order systems describing black holes

Motamed, M., Babiuc, M. C., Szilagyi, B., Kreiss, H.-O., & Winicour, J. (2006). Finite difference schemes for second order systems describing black holes. Physical Review D, 73: 124008.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4BF5-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4BF7-7
Genre: Journal Article

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0604010.pdf (Preprint), 694KB
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 Creators:
Motamed, Mohammad1, Author
Babiuc, Maria C.1, Author
Szilagyi, Bela1, Author              
Kreiss, H.-O.1, Author
Winicour, Jeffrey1, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: In the harmonic description of general relativity, the principle part of Einstein's equations reduces to 10 curved space wave equations for the componenets of the space-time metric. We present theorems regarding the stability of several evolution-boundary algorithms for such equations when treated in second order differential form. The theorems apply to a model black hole space-time consisting of a spacelike inner boundary excising the singularity, a timelike outer boundary and a horizon in between. These algorithms are implemented as stable, convergent numerical codes and their performance is compared in a 2-dimensional excision problem.

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 Dates: 2006
 Publication Status: Published in print
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 Identifiers: eDoc: 265094
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 73 Sequence Number: 124008 Start / End Page: - Identifier: -