112 citations · 238 across the 6 of their papers we have counts for
6 papers
Excising das All: Evolving Maxwell waves beyond scri
Charles W. Misner, James R. van Meter, David R. Fiske
We study the numerical propagation of waves through future null infinity in a conformally compactified spacetime. We introduce an artificial cosmological constant, which allows us…
Wave zone extraction of gravitational radiation in three-dimensional numerical relativity
David R. Fiske, John G. Baker, James R. van Meter +2
We present convergent gravitational waveforms extracted from three-dimensional, numerical simulations in the wave zone and with causally disconnected boundaries. These waveforms la…
Error and symmetry analysis of Misner's algorithm for spherical harmonic decomposition on a cubic grid
David R. Fiske
Computing spherical harmonic decompositions is a ubiquitous technique that arises in a wide variety of disciplines and a large number of scientific codes. Because spherical harmoni…
Evolving a puncture black hole with fixed mesh refinement
Breno Imbiriba, John Baker, Dae-Il Choi +5
We present an algorithm for treating mesh refinement interfaces in numerical relativity. We detail the behavior of the solution near such interfaces located in the strong field reg…
Toward standard testbeds for numerical relativity
Miguel Alcubierre, Gabrielle Allen, Carles Bona +18
In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical r…
Toward Making the Constraint Hypersurface an Attractor in Free Evolution
David R. Fiske
There is an abundance of empirical evidence in the numerical relativity literature that the form in which the Einstein evolution equations are written plays a significant role in t…