6 citations · 6 across the 1 of their papers we have counts for
9 papers
Exact boundary conditions in numerical relativity using multiple grids: scalar field tests
Gioel Calabrese
Cauchy-Characteristic Matching (CCM), the combination of a central 3+1 Cauchy code with an exterior characteristic code connected across a time-like interface, is a promising techn…
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…
Numerical stability for finite difference approximations of Einstein's equations
Gioel Calabrese, Ian Hinder, Sascha Husa
We extend the notion of numerical stability of finite difference approximations to include hyperbolic systems that are first order in time and second order in space, such as those…
Excising a boosted rotating black hole with overlapping grids
Gioel Calabrese, David Neilsen
We use the overlapping grids method to construct a fourth order accurate discretization of a first order reduction of the Klein-Gordon scalar field equation on a boosted spinning b…
A remedy for constraint growth in Numerical Relativity
Gioel Calabrese
Rapid growth of constraints is often observed in free evolutions of highly gravitating systems. To alleviate this problem we investigate the effect of adding spatial derivatives of…
Spherical excision for moving black holes and summation by parts for axisymmetric systems
Gioel Calabrese, David Neilsen
It is expected that the realization of a convergent and long-term stable numerical code for the simulation of a black hole inspiral collision will depend greatly upon the construct…