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Interpolation Method for a Function with a Singular Component

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Numerical Analysis and Its Applications (NAA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5434))

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Abstract

An interpolation formula for functions with boundary layer components is proposed. It is exact on the singular boundary layer component, that leads to uniform accuracy of the interpolation. It is shown, that the proposed formula can be used for interpolation of numerical solutions of boundary value problems with exponential and power layers.

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References

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Author information

Authors and Affiliations

  1. Omsk filial of Sobolev Mathematics Institute SB RAS, Pevtsova 13, Omsk, 644099, Russia

    A. I. Zadorin

Authors
  1. A. I. Zadorin
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Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  2. FNSE, Department of Numerical Methods and Statistics, University of Rousse, 8 Studentska str., 7017, Rousse, Bulgaria

    Lubin G. Vulkov

  3. Department of Informatics and Mathematical Modelling, Technical University of Denmark, 2800, Kongens, Lyngby, Denmark

    Jerzy Waśniewski

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© 2009 Springer-Verlag Berlin Heidelberg

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Zadorin, A.I. (2009). Interpolation Method for a Function with a Singular Component. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_72

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  • DOI: https://doi.org/10.1007/978-3-642-00464-3_72

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00463-6

  • Online ISBN: 978-3-642-00464-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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