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Optimized Symmetric Bicompact Scheme of the Sixth Order of Approximation with Low Dispersion for Hyperbolic Equations

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Abstract

A dispersion analysis of semidiscrete schemes from the one-parameter family of symmetric bicompact schemes of the sixth order of accuracy in space is performed. In this family, a scheme is found that has the smallest maximum phase error in the entire range of wavelengths resolvable on an integer-node grid. The maximum phase error of this optimized scheme does not exceed one-hundredth of percent. A numerical example is presented that demonstrates the ability of the bicompact scheme to adequately simulate short wave propagation on coarse grids at long times.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, 141700, Russia

    A. V. Chikitkin & B. V. Rogov

  2. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047, Russia

    B. V. Rogov

Authors
  1. A. V. Chikitkin
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  2. B. V. Rogov
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Corresponding author

Correspondence to A. V. Chikitkin.

Additional information

Original Russian Text © A.V. Chikitkin, B.V. Rogov, 2018, published in Doklady Akademii Nauk, 2018, Vol. 478, No. 6, pp. 631–636.

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Chikitkin, A.V., Rogov, B.V. Optimized Symmetric Bicompact Scheme of the Sixth Order of Approximation with Low Dispersion for Hyperbolic Equations. Dokl. Math. 97, 90–94 (2018). https://doi.org/10.1134/S106456241801026X

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  • DOI: https://doi.org/10.1134/S106456241801026X

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