Testing the Accuracy and Stability of Spectral Methods in Numerical Relativity

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dc.creatorBoyle, Michael
dc.creatorLindblom, Lee
dc.creatorPfeiffer, Harald
dc.creatorScheel, Mark
dc.creatorKidder, Lawrence E.
dc.date2006-09-13
dc.date2007-10-02
dc.date.accessioned2026-07-07T10:24:29Z
dc.date.available2026-07-07T10:24:29Z
dc.descriptionThe 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.
dc.descriptionFinal version, as published in Phys. Rev. D; 13 pages, 16 figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0609047
dc.identifierhttp://arxiv.org/abs/gr-qc/0609047
dc.identifierPhys.Rev.D75:024006,2007
dc.identifierdoi:10.1103/PhysRevD.75.024006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176206
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleTesting the Accuracy and Stability of Spectral Methods in Numerical Relativity
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