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Numerical Methods for Cauchy Singular Integral Equations in Spaces of Weighted Continuous Functions

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Recent Advances in Operator Theory and its Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 160))

Abstract

Some convergent and stable numerical procedures for Cauchy singular integral equations are given. The proposed approach consists of solving the regularized equation and is based on the weighted polynomial interpolation. The convergence estimates are sharp and the obtained linear systems are well conditioned.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi della Basilicata, Campus Macchia Romana, I-85100, Potenza, Italy

    G. Mastroianni & M.G. Russo

  2. Istituto per le Applicazioni del Calcolo “Mauro Picone”, Sezione di Napoli, CNR, Via P. Castellino 111, I-80131, Napoli, Italy

    W. Themistoclakis

Authors
  1. G. Mastroianni
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  2. M.G. Russo
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  3. W. Themistoclakis
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Editor information

Editors and Affiliations

  1. School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Israel

    Israel Gohberg

  2. Beer-Sheva

    D. Alpay  & P. A. Fuhrmann  & 

  3. Haifa

    J. Arazy  & L. E. Lerer  & 

  4. Tel Aviv

    A. Atzmon  & A. Ben-Artzi  & 

  5. Blacksburg

    J. A. Ball

  6. Bloomington

    H. Bercovici

  7. Chemnitz

    A. Böttcher  & G. Heinig  & 

  8. Athens, USA

    K. Clancey

  9. Buffalo

    L. A. Coburn

  10. Waterloo, Ontario

    K. R. Davidson

  11. College Station

    R. G. Douglas

  12. Groningen

    A. Dijksma

  13. Rehovot

    H. Dym

  14. Mainz

    B. Gramsch

  15. La Jolla

    J. A. Helton

  16. Amsterdam

    M. A. Kaashoek

  17. Argonne

    H. G. Kaper

  18. Tokyo

    S. T. Kuroda

  19. Calgary

    P. Lancaster

  20. Columbus

    B. Mityagin

  21. Manhattan, Kansas

    V. V. Peller

  22. Williamsburg

    L. Rodman  & I. M. Spitkovsky  & 

  23. Charlottesville

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  24. Berkeley

    D. E. Sarason  & D. Voiculescu  & 

  25. Providence

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  26. Marburg

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  27. Leiden

    S. M. Verduyn Lunel

  28. Santa Cruz

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  29. Nashville

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  30. Rennes

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  31. Department of Mathematics, FEW Vrije Universiteit, De Boelelaan 1081A, 1081 HV, Amsterdam, The Netherlands

    Marinus A. Kaashoek

  32. Dipartimento di Matematica, Università di Cagliari, Viale Merello 92, 09123, Cagliari, Italy

    Sebastiano Seatzu  & Cornelis van der Mee  & 

Additional information

Dedicated to Professor Israel Gohberg on the occasion of his 75th birthday

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Mastroianni, G., Russo, M., Themistoclakis, W. (2005). Numerical Methods for Cauchy Singular Integral Equations in Spaces of Weighted Continuous Functions. In: Gohberg, I., et al. Recent Advances in Operator Theory and its Applications. Operator Theory: Advances and Applications, vol 160. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7398-9_15

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