Monotonization of high accuracy bicompact scheme for stationary multidimensional transport equation (Q2800830)

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scientific article; zbMATH DE number 6570088
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Monotonization of high accuracy bicompact scheme for stationary multidimensional transport equation
scientific article; zbMATH DE number 6570088

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    18 April 2016
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    heat and mass transfer
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    heat flow
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    approximation algorithms
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    method of characteristics
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    algorithms for specific classes of architectures
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    Monotonization of high accuracy bicompact scheme for stationary multidimensional transport equation (English)
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    The equation of gas or radiation transfer -- the transport equation -- is one of the simplest equation of mathematical physics and it is often used for testing different calculating schemes or algorithms in numerical analysis. Here, a version of the hybrid scheme to solve the stationary non-homogeneous transport equation is considered. The fourth-order approximation scheme in relation to all spatial variables of the bicompact scheme family and the first-order approximation scheme of the family methods of short characteristics are chosen as base schemes. Advantages of the version proposed are discussed.
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