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Increasing the accuracy of solutions to a discrete spectral problem

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Abstract

Two methods for increasing the accuracy of discrete Sturm — Liouville problems are examined. In one of these the principal term of the expansion for the error of the eigenvalues by small parameter steps is used. The other method is based on a minimized functional, which corresponds to a discrete scheme of fourth-order accuracy relative to the discretization parameter.

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Literature cited

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Authors and Affiliations

  1. Kiev State University, Kiev

    V. G. Prikazchikov & Zh. P. Allanazarov

Authors
  1. V. G. Prikazchikov
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  2. Zh. P. Allanazarov
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Translated fromVychislitel'naya i Prikladnaya Matematika, No. 69, pp. 56–63, 1989.

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Prikazchikov, V.G., Allanazarov, Z.P. Increasing the accuracy of solutions to a discrete spectral problem. J Math Sci 67, 3075–3080 (1993). https://doi.org/10.1007/BF01098143

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  • DOI: https://doi.org/10.1007/BF01098143

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