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On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations |
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| Authors: | Hui Liang Hermann Brunner |
| Affiliation: | 1.School of Mathematical Sciences,Heilongjiang University,Harbin,China;2.Department of Mathematics,Hong Kong Baptist University,Hong Kong SAR,China;3.Department of Mathematics and Statistics,Memorial University of Newfoundland,St. John’s,Canada |
| Abstract: | This paper fills an important gap in the convergence analysis of collocation solutions in spaces of continuous piecewise polynomials for Volterra integral equations of the second kind. Our analysis is then extended to Volterra functional integral equations of the second kind with constant delays. |
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