81 citations · 397 across the 11 of their papers we have counts for
21 papers · 1 filter
The Well-posedness of the Null-Timelike Boundary Problem for Quasilinear Waves
H-O. Kreiss, J. Winicour
The null-timelike initial-boundary value problem for a hyperbolic system of equations consists of the evolution of data given on an initial characteristic surface and on a timelike…
Geometrization of metric boundary data for Einstein's equations
Jeffrey Winicour
The principle part of Einstein equations in the harmonic gauge consists of a constrained system of 10 curved space wave equations for the components of the space-time metric. A wel…
Strategies for the Characteristic Extraction of Gravitational Waveforms
M. C. Babiuc, N. T. Bishop, B. Szilagyi +1
We develop, test and compare new numerical and geometrical methods for improving the accuracy of extracting waveforms using characteristic evolution. The new numerical method invol…
Implementation of standard testbeds for numerical relativity
M. C. Babiuc, S. Husa, D. Alic +8
We discuss results that have been obtained from the implementation of the initial round of testbeds for numerical relativity which was proposed in the first paper of the Apples wit…
Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates
H. -O. Kreiss, O. Reula, O. Sarbach +1
In recent work, we used pseudo-differential theory to establish conditions that the initial-boundary value problem for second order systems of wave equations be strongly well-posed…
Constraint-preserving Sommerfeld conditions for the harmonic Einstein equations
M. C. Babiuc, H-O. Kreiss, Jeffrey Winicour
The principle part of Einstein equations in the harmonic gauge consists of a constrained system of 10 curved space wave equations for the components of the space-time metric. A new…