A piecewise constant collocation method using cosine mesh grading for Symm's equation |
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| Authors: | S Joe Y Yan |
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| Institution: | (1) Department of Mathematics and Statistics, The University of Waikato, Private Bag, 3105 Hamilton, New Zealand;(2) Center for Computational Sciences, University of Kentucky, 40506 Lexington, KY, USA |
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| Abstract: | Summary Here we study the piecewise constant collocation method using mesh grading to solve Symm's integral equation on –1, 1]. We give a mesh grading for which this method achieves the optimal order of convergence even though the piecewise constant Galerkin method with the same mesh grading does not. Some numerical results are given. |
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| Keywords: | 65R20 |
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