625 citations · 3.4k across the 63 of their papers we have counts for
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Asymptotically null slices in numerical relativity: mathematical analysis and spherical wave equation tests
Gioel Calabrese, Carsten Gundlach, David Hilditch
We investigate the use of asymptotically null slices combined with stretching or compactification of the radial coordinate for the numerical simulation of asymptotically flat space…
Discrete boundary treatment for the shifted wave equation
Gioel Calabrese, Carsten Gundlach
We present strongly stable semi-discrete finite difference approximations to the quarter space problem (x>0, t>0) for the first order in time, second order in space wave equation w…
Hyperbolicity of second-order in space systems of evolution equations
Carsten Gundlach, Jose M. Martin-Garcia
A possible definition of strong/symmetric hyperbolicity for a second-order system of evolution equations is that it admits a reduction to first order which is strongly/symmetric hy…
Constraint damping in the Z4 formulation and harmonic gauge
Carsten Gundlach, Jose M. Martin-Garcia, Gioel Calabrese +1
We show that by adding suitable lower-order terms to the Z4 formulation of the Einstein equations, all constraint violations except constant modes are damped. This makes the Z4 for…
Well-posedness of the scale-invariant tetrad formulation of the vacuum Einstein equations
David Garfinkle, Carsten Gundlach
We show that with a small modification, the formulation of the Einstein equations of Uggla et al, which uses tetrad variables normalised by the expansion, is a mixed symmetric hype…