Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Stability of the CIP Scheme Applied to Linear Advection Equations(Theory)
Daiki TanakaHiroshi FujiwaraTakaaki NishidaYuusuke Iso
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2015 Volume 25 Issue 2 Pages 91-104

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Abstract
The CIP scheme is one of the accurate numerical schemes to solve the Cauchy problems of advection equations, and we show the stability of the scheme. We deal with the scheme applied to the case of ∂/(∂t)u+C∂/(∂x)u=0, and we give a rigorous proof for its weak stability and also show that it is not strongly stable in L^2.
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© 2015 The Japan Society for Industrial and Applied Mathematics
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