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KIAM Preprint № 74, Moscow, 2019
Authors: Bakhvalov P.A., Surnachev M.D.
Linear schemes with several degrees of freedom for the multidimensional transport equation
Abstract:
We consider linear schemes with several degrees of freedom for the transport equation. The solution error possesses the estimate O(hp + thq) where p is equal to or greater by one than the truncation error order and q>=p. We prove the existence of a mapping of smooth functions on the mesh space providing the q-th order of the truncation error and deviating from the standard mapping (L2-projection for example) by the order hp. In contrast with 1D case local mapping with such properties generally does not exist. We prove sufficient existence conditions.
Keywords:
consistency and accuracy, superconvergence
Publication language: russian,  страниц: 44
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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