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International Conference on Numerical Analysis and Its Applications

NAA 2008: Numerical Analysis and Its Applications pp 200–207Cite as

Quartic Spline of Interpolation with Minimal Quadratic Oscillation

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

Abstract

The quartic spline of interpolation generated by initial conditions is constructed. The initial values corresponding to the first, second and third derivative of spline in the first knot are uniquely determined such that the quadratic oscillation in average of the quartic spline to be minimal (this notion was recently introduced by the author for any spline of interpolation function).

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics and Informatics, University of Oradea, Str. Universitatii no.1, 410087, Oradea, Romania

    Alexandru Mihai Bica

Authors
  1. Alexandru Mihai Bica
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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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Bica, A.M. (2009). Quartic Spline of Interpolation with Minimal Quadratic Oscillation. 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_20

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  • DOI: https://doi.org/10.1007/978-3-642-00464-3_20

  • 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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