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Rational predictor-corrector methods for nonlinear volterra integral equations of the second kind

  • Application Of Padé Approximation
  • Conference paper
  • First Online:
Padé Approximation and its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 765))

Abstract

The Volterra integral equation of the second kind is approximated by rational predictor-corrector formulas, derived through osculatory rational interpolation. A fourth order method is treated explicitly. Convergence and A-stability are considered. For some nonlinear and singular equations, numerical results are included, and compared with results from a analougous linear method.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Antwerp, Universiteitsplein 1, B - 2610, Wilrijk, Belgium

    T. H. Clarysse

Authors
  1. T. H. Clarysse
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Luc Wuytack

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© 1979 Springer-Verlag

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Clarysse, T.H. (1979). Rational predictor-corrector methods for nonlinear volterra integral equations of the second kind. In: Wuytack, L. (eds) Padé Approximation and its Applications. Lecture Notes in Mathematics, vol 765. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085586

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  • DOI: https://doi.org/10.1007/BFb0085586

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09717-4

  • Online ISBN: 978-3-540-38511-0

  • eBook Packages: Springer Book Archive

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