Superconvergence of Numerical Solutions to Volterra Integral Equations with Singularities

  • Authors:

  • Qiya Hu

  • Affiliations:

  • -

  • Venue:
  • SIAM Journal on Numerical Analysis
  • Year:
  • 1997

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Abstract

In this paper we discuss the $\beta$-polynomial discrete collocation method (based on practical meshes) for Volterra integral equations with weakly singular kernels. It will be shown that superconvergence properties may be obtained by using appropriate collocation parameters and by a simple, cheap postprocessing of the original discrete collocation solution.