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  A fourth-order indirect integration method for black hole perturbations: even modes

Ritter, P., Spallicci, A. D. A. M., Aoudia, S., & Cordier, S. (2011). A fourth-order indirect integration method for black hole perturbations: even modes. Classical and quantum gravity, 28(13): 134012.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-06FD-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-06FF-F
Genre: Conference Paper
Other : Fourth order indirect integration method for black hole perturbations: even modes (Preprint)

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 Creators:
Ritter, Patxi, Author
Spallicci, Alessandro D. A. M., Author
Aoudia, Sofiane1, Author              
Cordier, Stephane, Author
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: On the basis of a recently proposed strategy of finite element integration in time domain for partial differential equations with a singular source term, we present a fourth order algorithm for non-rotating black hole perturbations in the Regge-Wheeler gauge. Herein, we address even perturbations induced by a particle plunging in. The forward time value at the upper node of the $(r^*,t)$ grid cell is obtained by an algebraic sum of i) the preceding node values of the same cell, ii) analytic expressions, related to the jump conditions on the wave function and its derivatives, iii) the values of the wave function at adjacent cells. In this approach, the numerical integration does not deal with the source and potential terms directly, for cells crossed by the particle world line. This scheme has also been applied to circular and eccentric orbits and it will be object of a forthcoming publication.

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 Dates: 2011-02-112011-05-052011
 Publication Status: Published in print
 Pages: This series of papers deals with EMRI for LISA. With the respect to the v1 version, the algorithm has been improved; convergence tests and references have been added; v2 is composed by 23 pages, and 6 figures. Paper accepted by Class. Quantum Gravity for the special issue on Theory Meets Data Analysis at Comparable and Extreme Mass Ratios (Capra and NRDA) at Perimeier Institute in June 2010
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 Identifiers: arXiv: 1102.2404
DOI: 10.1088/0264-9381/28/13/134012
URI: http://arxiv.org/abs/1102.2404
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Title: Theory Meets Data Analysis at Comparable and Extreme Mass Ratios Conference (NRDA/Capra 2010), Perimeter Institute for Theoretical Physics
Place of Event: Waterloo, Canada
Start-/End Date: 2010-06-20 - 2010-06-26

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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 28 (13) Sequence Number: 134012 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1