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Numerical Integration with Complex Jacobi Weight Function

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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

In this paper we study the numerical integration on ( − 1,1) with respect to the Jacobi weight function (1 − x)α(1 + x)β, where α and β are complex parameters. The problem arises in some applications of computational models in quantum mechanics. We discuss two methods for integration. One is suitable for integration of analytic functions and the other is applicable to the general Riemann integrable functions.

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Author information

Authors and Affiliations

  1. Faculty of Computer Sciences, Megatrend University Belgrade, Bulevar umetnosti 29, 11070, Novi Beograd, Serbia

    Gradimir V. Milovanović

  2. Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000, Niš, Serbia

    Aleksandar S. Cvetković

Authors
  1. Gradimir V. Milovanović
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  2. Aleksandar S. Cvetković
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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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Milovanović, G.V., Cvetković, A.S. (2009). Numerical Integration with Complex Jacobi Weight Function. 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_3

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  • DOI: https://doi.org/10.1007/978-3-642-00464-3_3

  • 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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