Discrete boundary treatment for the shifted wave equation in second-order form and related problems

Details Discrete boundary treatment for the shifted wave equation in second-order form and related problems Discrete boundary treatment for the shifted wave equation in second-order form and related problems

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cqgra..23s.343c&link_type=abstract

Classical and Quantum Gravity, Volume 23, Issue 16, pp. S343-S367 (2006).

Physics

6

Scientific paper

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 with a shift term. We consider space-like (pure outflow) and time-like boundaries, with either second- or fourth-order accuracy. These discrete boundary conditions suggest a general prescription for boundary conditions in finite difference codes approximating first order in time, second order in space hyperbolic problems, such as those that appear in numerical relativity. As an example we construct boundary conditions for the Nagy Ortiz Reula formulation of the Einstein equations coupled to a scalar field in spherical symmetry.

Affiliated with

Also associated with

No associations

Rating

Discrete boundary treatment for the shifted wave equation in second-order form and related problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Discrete boundary treatment for the shifted wave equation in second-order form and related problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discrete boundary treatment for the shifted wave equation in second-order form and related problems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-975686