On global superconvergence of iterated collocation solutions to linear second-kind Volterra integral equations |
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| Authors: | Hermann Brunner Ningning Yan |
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| Institution: | 1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John''s, Nfld, Canada A1C 5S7;2. Institute of Systems Science, Academia Sinica, Beijing 100080, People''s Republic of China |
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| Abstract: | It is well known that, in contrast to Fredholm integral equations, iterated collocation solutions (based on collocation at the Gauss points) to Volterra integral equations of the second kind exhibit optimal discrete superconvergence only at the mesh points. Here, we show that some degree of global superconvergence is possible on the entire interval. |
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| Keywords: | Volterra integral equations of the second kind Iterated collocation solutions Global superconvergence |
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