On bivariate Gaussian cubature formulae

Schmid, H. J.; Xu, Yuan

doi:10.1090/S0002-9939-1994-1209428-0

On bivariate Gaussian cubature formulae
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by H. J. Schmid and Yuan Xu PDF

Proc. Amer. Math. Soc. 122 (1994), 833-841 Request permission

Abstract:

It is shown that for two classes of integrals the results of Gaussian quadrature can be extended straightforwardly to the bivariate case. For these classes Gaussian formulae of an arbitrary degree are derived.

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