Constructing cubature formulae by the method of reproducing kernel |
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| Authors: | Yuan Xu |
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| Affiliation: | (1) Department of Mathematics, University of Oregon, Eugene, OR 97403-1222, USA; e-mail: yuan@math.uoregon.edu , US |
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| Abstract: | ![]()
Summary. We examine the method of reproducing kernel for constructing cubature formulae on the unit ball and on the triangle in light of the compact formulae of the reproducing kernels that are discovered recently. Several new cubature formulae are derived. Received April 15, 1998 / Revised version received November 24, 1998 / Published online January 27, 2000 |
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| Keywords: | Mathematics Subject Classification (1991):33C50 42C05 41A 63 |
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