Combining Cauchy and characteristic numerical evolutions in curved coordinates

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Published under licence by IOP Publishing Ltd
, , Citation C J S Clarke and R A d'Inverno 1994 Class. Quantum Grav. 11 1463 DOI 10.1088/0264-9381/11/6/011

0264-9381/11/6/1463

Abstract

In numerical relativity there would seem to be considerable advantages in combining Cauchy and characteristic methods in different regions of spacetime. Numerical experiments demonstrate, for the model problem of the scalar wave equation in flat space using general null coordinates, that there are no unforseen problems with the interface between the two regions.

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10.1088/0264-9381/11/6/011