Covariant transformations of basis differential-difference schemes in a plane |
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Authors: | V A Korobitsyn |
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Institution: | 1.Tomsk State University,Tomsk,Russia |
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Abstract: | Consistent difference approximations to differential operators in vector and tensor analysis are constructed in curvilinear
coordinates in a plane by applying the basis operator method. They are obtained as a transformation of basis approximations
in a Cartesian coordinate system. For the continuum mechanics equations in Lagrangian variables, this approach yields theoretically
justified differential-difference schemes whose conservation laws correspond to the continuous case. |
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Keywords: | |
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