Abstract
One of the convenient properties of the Gaussian formulae is, that among all quadrature formulae of a fixed degree the Gaussian formula has the minimal number of nodes. For its multidimensional analogue, we need at least the knowledge of lower bounds for the number of nodes and informations on the strictness of the estimates.
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Möller, H.M. (1979). Lower Bounds for the Number of Nodes in Cubature Formulae. In: Hämmerlin, G. (eds) Numerische Integration. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 45. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6288-2_17
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DOI: https://doi.org/10.1007/978-3-0348-6288-2_17
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