Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-02-11
Class.Quant.Grav.28:134012,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
This series of papers deals with EMRI for LISA. With the respect to the v1 version, the algorithm has been improved; convergen
Scientific paper
10.1088/0264-9381/28/13/134012
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.
Aoudia Sofiane
Cordier Stephane
Ritter Patxi
Spallicci Alessandro D. A. M.
No associations
LandOfFree
Fourth order indirect integration method for black hole perturbations: even modes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Fourth order indirect integration method for black hole perturbations: even modes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fourth order indirect integration method for black hole perturbations: even modes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-632710