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Journal article

The linear barycentric rational quadrature method for Volterra integral equations

Université de Fribourg

  • Berrut, Jean-Paul Department of Mathematics, University of Fribourg, Switzerland
  • Hosseini, S. A. Department of Computer Sciences, Faculty of Sciences, Golestan University, Gorgan, Iran
  • Klein, Georges Mathematical Institute, University of Oxford, UK
    01.01.2014
Published in:
  • SIAM Journal on Scientific Computing, 2014, vol. 36, no. 1, p. A105–A123
English We introduce two direct quadrature methods based on linear rational interpolation for solving general Volterra integral equations of the second kind. The first, deduced by a direct application of linear barycentric rational quadrature given in former work, is shown to converge at the same rate as the rational quadrature rule but is costly on long integration intervals. The second, based on a... Show more…
Language
  • English
Identifiers
Classification
Mathematics
Faculty
Faculté des sciences
Department
Mathématiques
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Persistent URL
https://folia.unifr.ch/global/documents/303647