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Coarse-grid approximations of the radiation transport equation: Problems with weak absorption. - MaRDI portal

Coarse-grid approximations of the radiation transport equation: Problems with weak absorption. (Q1395271)

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scientific article; zbMATH DE number 1940645
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Coarse-grid approximations of the radiation transport equation: Problems with weak absorption.
scientific article; zbMATH DE number 1940645

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    Coarse-grid approximations of the radiation transport equation: Problems with weak absorption. (English)
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    1 July 2003
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    Here, the singular perturbation theory for critical cases is used to construct and analyze coarse-grid approximations for the transport equation in optically thick media with weak absorption. The well-known conservative schemes are considered as the initial ones. Theoretical estimates on the accuracy of this approximation are established that are in good agreement with numerical results.
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    transport equation
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    coarse-grid
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    asymptotic approximations
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    difference schemes
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    accuracy
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    solution
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