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On minimal cubature formulas with the trigonometric \(d\)-property in the two-dimensional case. (Russian, English) Zbl 1079.41029
Zh. Vychisl. Mat. Mat. Fiz. 45, No. 1, 8-16 (2005); translation in Comput. Math. Math. Phys. 45, No. 1, 5-12 (2005).
The author presents a description of all minimal cubature formulas with trigonometric \(d\)-property for two-dimensional polynomials and \(d\) an odd number. For even \(d\) a description of all minimal lattice cubature formulas with the trigonometric \(d\)-property is given .
MSC:
41A55 Approximate quadratures
65D30 Numerical integration
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