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arxiv: 1007.4848 · v2 · pith:ZDRRR6K2new · submitted 2010-07-27 · 🧮 math.NA · cs.NA

On Gauss-Lobatto integration on the triangle

classification 🧮 math.NA cs.NA
keywords rulestrianglecubaturegauss-lobattoboundconstructconstructingestablishing
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A recent result in [2] on the non-existence of Gauss-Lobatto cubature rules on the triangle is strengthened by establishing a lower bound for the number of nodes of such rules. A method of constructing Lobatto type cubature rules on the triangle is given and used to construct several examples.

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