JSIAM Letters
Online ISSN : 1883-0617
Print ISSN : 1883-0609
ISSN-L : 1883-0617
Parametrized numerical scheme for the Einstein equations
Hidetomo HoshinoKei SatohGen Yoneda
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2021 Volume 13 Pages 13-16

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Abstract

In astrophysics and astronomy, it is necessary to solve numerically and accurately the Einstein equations, which are 2nd-order partial differential equations for a metric. We propose a method of estimating a numerical scheme in terms of constraints, and we also demonstrate that a numerical scheme with parameters makes it possible to perform a numerical calculation with less constraint violation.

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© 2021, The Japan Society for Industrial and Applied Mathematics
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