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Problems and Successes in the Numerical Approach to the Conformal Field Equations

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arxiv gr-qc/0204043 v1 pith:ISZ7RFRP submitted 2002-04-12 gr-qc

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keywords approachconformalnumericalequationsfieldproblemsalgorithmsbeen
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This talk reports on the status of an approach to the numerical study of isolated systems with the conformal field equations. We first describe the algorithms used in a code which has been developed at AEI in the last years, and discuss a milestone result obtained by Huebner. Then we present more recent results as examples to sketch the problems we face in the conformal approach to numerical relativity and outline a possible roadmap toward making this approach a practical tool.

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  1. Excision and avoiding the use of boundary conditions in numerical relativity

    gr-qc 2019-08 accept novelty 5.0 of 10

    A numerical method that excises the outer computational boundary along the ingoing light cone makes boundary conditions unnecessary, at the cost of limiting evolution to about one light-crossing time of the initial grid.

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