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Two-level schemes of higher approximation order for time-dependent problems with skew-symmetric operators

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Abstract

Using a model periodic problem for the one-dimensional transport equation as an example, the construction of finite difference time approximations is considered. The emphasis is on the quality criteria of finite difference schemes in what concerns the inheritance of the basic properties of the differential problem, which are related to the transfer of spectral characteristics. Schemes of higher order accuracy based on Padé are analyzed.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia

    P. N. Vabishchevich

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  1. P. N. Vabishchevich
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Correspondence to P. N. Vabishchevich.

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Original Russian Text © P.N. Vabishchevich, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 6, pp. 1121–1132.

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Vabishchevich, P.N. Two-level schemes of higher approximation order for time-dependent problems with skew-symmetric operators. Comput. Math. and Math. Phys. 51, 1050–1060 (2011). https://doi.org/10.1134/S0965542511060170

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