577 citations · 3.6k across the 49 of their papers we have counts for
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Symmetry without Symmetry: Numerical Simulation of Axisymmetric Systems using Cartesian Grids
M. Alcubierre, S. Brandt, B. Bruegmann +4
We present a new technique for the numerical simulation of axisymmetric systems. This technique avoids the coordinate singularities which often arise when cylindrical or polar-sphe…
Towards an understanding of the stability properties of the 3+1 evolution equations in general relativity
Miguel Alcubierre, Gabrielle Allen, Bernd Bruegmann +2
We study the stability properties of the standard ADM formulation of the 3+1 evolution equations of general relativity through linear perturbations of flat spacetime. We focus atte…
Numerical Relativity As A Tool For Computational Astrophysics
Edward Seidel, Wai-Mo Suen
The astrophysics of compact objects, which requires Einstein's theory of general relativity for understanding phenomena such as black holes and neutron stars, is attracting increas…
Gravitational Collapse of Gravitational Waves in 3D Numerical Relativity
Miguel Alcubierre, Gabrielle Allen, Bernd Bruegmann +4
We demonstrate that evolutions of three-dimensional, strongly non-linear gravitational waves can be followed in numerical relativity, hence allowing many interesting studies of bot…