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Operator’s Approach to the Problems with Concentrated Factors

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Numerical Analysis and Its Applications (NAA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1988))

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Abstract

In this paper finite-difference schemes approximating the one-dimensional initial-boundary value problems for the heat equation with concentrated capacity are derived. An abstract operator’s method is developed for studying such problems. Convergence rate estimates consistent with the smoothness of the data are obtained.

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References

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Author information

Authors and Affiliations

  1. Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000, Belgrade, Yugoslavia

    Boško S. Jovanović

  2. Department of Applied Mathematics and Informatics, University of Rousse, Studentska str. 8, 7017, Rousse, Bulgaria

    Lubin G. Vulkov

Authors
  1. Boško S. Jovanović
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  2. Lubin G. Vulkov
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Rousse, 7000, Rousse, Bulgaria

    Lubin Vulkov  & Plamen Yalamov  & 

  2. UNI-C,Danish Computing Center for Research and Education, DTU,Building 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2001 Springer-Verlag Berlin Heidelberg

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Jovanović, B.S., Vulkov, L.G. (2001). Operator’s Approach to the Problems with Concentrated Factors. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_51

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  • DOI: https://doi.org/10.1007/3-540-45262-1_51

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41814-6

  • Online ISBN: 978-3-540-45262-1

  • eBook Packages: Springer Book Archive

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