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Constructing cubature formulae by the method of reproducing kernel

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Oregon, Eugene, OR 97403-1222, USA; e-mail: yuan@math.uoregon.edu , , , , , , US

    Yuan Xu

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  1. Yuan Xu
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Received April 15, 1998 / Revised version received November 24, 1998 / Published online January 27, 2000

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Xu, Y. Constructing cubature formulae by the method of reproducing kernel. Numer. Math. 85, 155–173 (2000). https://doi.org/10.1007/s002110050481

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  • DOI: https://doi.org/10.1007/s002110050481

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