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ABSTRACT
The Superconvergence of Certain Two-Dimensional Cauchy Principal Value Integrals
The International Conference on Computational & Experimental Engineering and Sciences 2011, 17(1), 5-6. https://doi.org/10.3970/icces.2011.017.005
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The composite rectangle (midpoint) rule for the computation of multi-dimensional singular integrals is discussed, and the superconvergence results is obtained. When the local coordinate is coincided with certain priori known coordinates, we get the convergence rate one order higher than the global one. At last, numerical examples are presented to illustrate our theoretical analysis which agree with it very well.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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