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Immersed Interface CIP for One Dimensional Hyperbolic Equations
Published online by Cambridge University Press: 03 June 2015
Abstract
The immersed interface technique is incorporated into CIP method to solve one-dimensional hyperbolic equations with piecewise constant coefficients. The proposed method achieves the third order of accuracy in time and space in the vicinity of the interface where the coefficients have jump discontinuities, which is the same order of accuracy of the standard CIP scheme. Some numerical tests are given to verify the accuracy of the proposed method.
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- Copyright © Global Science Press Limited 2014
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