Testing the Accuracy and Stability of Spectral Methods in Numerical Relativity

Details Testing the Accuracy and Stability of Spectral Methods in Numerical Relativity Testing the Accuracy and Stability of Spectral Methods in Numerical Relativity

2006-09-13

arxiv.org/abs/gr-qc/0609047v2

Phys.Rev.D75:024006,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Final version, as published in Phys. Rev. D; 13 pages, 16 figures

Scientific paper

10.1103/PhysRevD.75.024006

The accuracy and stability of the Caltech-Cornell pseudospectral code is evaluated using the KST representation of the Einstein evolution equations. The basic "Mexico City Tests" widely adopted by the numerical relativity community are adapted here for codes based on spectral methods. Exponential convergence of the spectral code is established, apparently limited only by numerical roundoff error. A general expression for the growth of errors due to finite machine precision is derived, and it is shown that this limit is achieved here for the linear plane-wave test. All of these tests are found to be stable, except for simulations of high amplitude gauge waves with nontrivial shift.

Affiliated with

Also associated with

No associations

Rating

Testing the Accuracy and Stability of Spectral Methods in Numerical Relativity 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 Testing the Accuracy and Stability of Spectral Methods in Numerical Relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Testing the Accuracy and Stability of Spectral Methods in Numerical Relativity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-537433