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Refined-mesh interpolation method for functions with a boundary-layer component

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Abstract

Linear and quadratic spline interpolation methods for a one-variable function with a boundary-layer component are examined. It is shown that the interpolation method for such a function leads to considerable errors when applied on a uniform mesh. The error of linear and quadratic spline interpolations on meshes that are refined in the boundary layer is estimated. Numerical results are presented.

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Authors and Affiliations

  1. Omsk Branch of the Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, ul. Pevtsova 13, Omsk, 644099, Russia

    A. I. Zadorin

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  1. A. I. Zadorin
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Correspondence to A. I. Zadorin.

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Original Russian Text © A.I. Zadorin, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 9, pp. 1673–1684.

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Zadorin, A.I. Refined-mesh interpolation method for functions with a boundary-layer component. Comput. Math. and Math. Phys. 48, 1634–1645 (2008). https://doi.org/10.1134/S0965542508090121

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  • DOI: https://doi.org/10.1134/S0965542508090121

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