The iterative correction method for Volterra integral equations |
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| Authors: | Hermann Brunner Lin Qun Yan Ningning |
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| Institution: | (1) Department of Mathematics and Statistics, Memorial University of Newfoundland, A1C 5S7 St. John's, NF, Canada;(2) Institute of Systems Science, Academia Sinica, (100080) Beijing, China |
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| Abstract: | We show that the (n – 1)-fold application of an iterative correction technique to the iterated collocation solution corresponding to the one-point Gauss collocation solution for a Volterra integral equation of the second kind l6eads to a significant improvement in the precision of these approximations: the resulting rate of (global) convergence is
.The work of first author has been supported by the Natural Sciences and Engineering Research Council of Canada (Research Grant OGP0009406). |
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| Keywords: | Volterra integral equations collocation iterative correction |
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