Continuum and discrete initial-boundary value problems and the Einstein field equations

Details Continuum and discrete initial-boundary value problems and the Einstein field equations Continuum and discrete initial-boundary value problems and the Einstein field equations

Mar 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012aps..apr.w8002t&link_type=abstract

American Physical Society, APS April Meeting 2012, March 31-Apr 3, 2012, abstract #W8.002

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In this talk we outline some of the theory necessary to understand continuum and discrete initial-boundary value problems arising from hyperbolic partial differential equations, and discuss applications to numerical relativity. In particular, we present a well posed initial and initial-boundary value formulations for Einstein's equations, and discuss multi-domain high order finite difference techniques and spectral methods to discretize them. The talk is a very brief outline of the contents of an upcoming Living Review in Relativity, ``Continuum and discrete initial boundary value problems and the Einstein field equations,'' by Olivier Sarbach and Manuel Tiglio.

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