A dissipative algorithm for wave-like equations in the characteristic formulation

Details A dissipative algorithm for wave-like equations in the characteristic formulation A dissipative algorithm for wave-like equations in the characteristic formulation

1998-11-30

arxiv.org/abs/gr-qc/9811095v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 7 figures

Scientific paper

10.1006/jcph.1998.6137

We present a dissipative algorithm for solving nonlinear wave-like equations when the initial data is specified on characteristic surfaces. The dissipative properties built in this algorithm make it particularly useful when studying the highly nonlinear regime where previous methods have failed to give a stable evolution in three dimensions. The algorithm presented in this work is directly applicable to hyperbolic systems proper of Electromagnetism, Yang-Mills and General Relativity theories. We carry out an analysis of the stability of the algorithm and test its properties with linear waves propagating on a Minkowski background and the scattering off a Scwharszchild black hole in General Relativity.

Affiliated with

Also associated with

No associations

Rating

A dissipative algorithm for wave-like equations in the characteristic formulation 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 A dissipative algorithm for wave-like equations in the characteristic formulation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A dissipative algorithm for wave-like equations in the characteristic formulation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-71805