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A scheme to numerically evolve data for the conformal Einstein equation

Peter Hübner

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This is the second paper in a series describing a numerical implementation of the conformal Einstein equation. This paper deals with the technical details of the numerical code used to perform numerical time evolutions from a `minimal' set of data.

We outline the numerical construction of a complete set of data for our equations from a minimal set of data. The second- and the fourth-order discretizations, which are used for the construction of the complete data set and for the numerical integration of the time evolution equations, are described and their efficiencies are compared. By using the fourth-order scheme we reduce our computer resource requirements - with respect to memory as well as computation time - by at least two orders of magnitude as compared to the second-order scheme.


PACS

04.20.Jb Exact solutions

04.30.-w Gravitational waves

02.60.Jh Numerical differentiation and integration

MSC

83C35 Gravitational waves

83C15 Exact solutions

65D30 Numerical integration

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

Subjects

Computational physics

Gravitation and cosmology

Dates

Issue 9 (September 1999)

Received 26 March 1999



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