468 citations · 7k across the 69 of their papers we have counts for
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An explicit harmonic code for black-hole evolution using excision
Bela Szilagyi, Denis Pollney, Luciano Rezzolla +2
We describe an explicit in time, finite-difference code designed to simulate black holes by using the excision method. The code is based upon the harmonic formulation of the Einste…
Numerical relativity with characteristic evolution, using six angular patches
Christian Reisswig, Nigel T. Bishop, Chi Wai Lai +2
The characteristic approach to numerical relativity is a useful tool in evolving gravitational systems. In the past this has been implemented using two patches of stereographic ang…
Finite difference schemes for second order systems describing black holes
Mohammad Motamed, M. Babiuc, B. Szilagyi +2
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…
Harmonic Initial-Boundary Evolution in General Relativity
Maria C. Babiuc, Bela Szilagyi, Jeffrey Winicour
Computational techniques which establish the stability of an evolution-boundary algorithm for a model wave equation with shift are incorporated into a well-posed version of the ini…