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Testing the well-posedness of characteristic evolution of scalar waves
KTH, School of Computer Science and Communication (CSC). (NADA)
2014 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 31, no 2, 025022- p.Article in journal (Refereed) Published
Abstract [en]

Recent results have revealed a critical way in which lower order terms affect the well-posedness of the characteristic initial value problem for the scalar wave equation. The proper choice of such terms can make the Cauchy problem for scalar waves well posed even on a background spacetime with closed lightlike curves. These results provide new guidance for developing stable characteristic evolution algorithms. In this regard, we present here the finite difference version of these recent results and implement them in a stable evolution code. We describe test results which validate the code and exhibit some of the interesting features due to the lower order terms.

Place, publisher, year, edition, pages
2014. Vol. 31, no 2, 025022- p.
Keyword [en]
characteristic evolution, well-posedness
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-140817DOI: 10.1088/0264-9381/31/2/025022ISI: 000329984900023ScopusID: 2-s2.0-84890935872OAI: diva2:693299

QC 20140204

Available from: 2014-02-04 Created: 2014-01-31 Last updated: 2014-02-13Bibliographically approved

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Kreiss, Heinz-Otto
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