SUPERCONVERGENCE OF NUMERICAL-SOLUTIONS TO VOLTERRA INTEGRAL-EQUATIONS WITH SINGULARITIES

Authors
HU QY
Citation
Qy. Hu, SUPERCONVERGENCE OF NUMERICAL-SOLUTIONS TO VOLTERRA INTEGRAL-EQUATIONS WITH SINGULARITIES, SIAM journal on numerical analysis, 34(5), 1997, pp. 1698-1707
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on numerical analysis → ACNP
ISSN journal
00361429
Volume
34
Issue
5
Year of publication
1997
Pages
1698 - 1707
Database
ISI
SICI code
0036-1429(1997)34:5<1698:SONTVI>2.0.ZU;2-Z
Abstract
In this paper we discuss the beta-polynomial discrete collocation meth od (based on practical meshes) for Volterra integral equations with we akly singular kernels. It will be shown that superconvergence properti es may be obtained by using appropriate collocation parameters and by a simple, cheap postprocessing of the original discrete collocation so lution.