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Cubature formulas of high trigonometric accuracy. (Russian, English) Zbl 1079.41028
Zh. Vychisl. Mat. Mat. Fiz. 44, No. 5, 786-795 (2004); translation in Comput. Math. Math. Phys. 44, No. 5, 740-749 (2004).
The basic results on cubature formulas, exact on trigonometric multinomials, are investigated. The basic attention is given to the formulas integrating exactly all trigonometric polynomials which degree does not exceed the set number and containing thus probably a smaller number of nodes.

MSC:
41A55 Approximate quadratures
65T40 Numerical methods for trigonometric approximation and interpolation
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