On calculation of integrals over spherical domains

Ukrainian Mathematical Journal

Volumn 58, Issue 6, 2006, Pages 974-980

  Shamsiev, E A ^a  

^a NATIONAL UNIVERSITY OF UZBEKISTAN   (Uzbekistan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33845215915     PISSN: 00415995     EISSN: 15739376     Source Type: Journal    
DOI: 10.1007/s11253-006-0117-2     Document Type: Article

References (15)

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3. V. I. Lebedev, "On quadratures on a sphere with highest algebraic degree of accuracy," in: Theory of Cubature Formulas and Applications of Functional Analysis to Some Problems of Mathematical Physics [in Russian], Novosibirsk (1973), pp. 31-35.
4. V. I. Lebedev, "Quadrature formulas for a sphere with degree of accuracy 25-29," Sib. Mat. Zh., 18, No. 1, 132-142 (1977).
5. V. I. Lebedev and D. N. Laikov, "Cubature formulas for a sphere of Gauss type of orders 65, 71, 77, 83, 89, 95, and 101," in: Cubature Formulas and Their Applications [in Russian], Krasnoyarsk (1999), pp. 106-118.
6. S.I. Konyaev, "Quadrature formulas on a sphere invariant with respect to icosahedral group," in: Problems in Computational and Applied Mathematics [in Russian], Issue 32 (1975), pp. 69-76.
7. S. I. Konyaev, "Quadratures of Gauss type for a sphere that are invariant with respect to the icosahedral group with inversion," Mat. Zametki, 25, No. 4, 629-634 (1979).
8. I. P. Mysovskikh, Interpolation Cubature Formulas [in Russian], Nauka, Moscow (1981).
9. A. K. Ponomarenko, "Three cubature formulas with degree of accuracy 9 for a hyperoctahedron," in: Cubature Formulas and Their Applications [in Russian], Krasnoyarsk (1999), pp. 150-158.
10. A. K. Ponomarenko, "Two cubature formulas," in: Cubature Formulas and Their Applications [in Russian], Krasnoyarsk (2003), pp. 133-138.
11. S. B. Stoyanova, "Invariant cubature formulas of the seventh degree of accuracy for the hypersphere," in: Cubature Formulas and Their Applications [in Russian], Krasnoyarsk (1999), pp. 285-290.
12. M. V. Noskov, "Cubature formulas for the approximate integration of periodic functions," in: Cubature Formulas and Functional Equations [in Russian], Leningrad University, Leningrad (1985), pp. 15-24.
13. H. B. Dwight, Tables of Integrals and Other Mathematical Data, Macmillan, New York (1961).
14. V. F. Ignatenko, "On plane algebraic curves with symmetry axes," Ukr. Geom. Sb., Issue 21, 31-33 (1978).
15. É. A. Shamsiev, "On invariant cubature formulas containing derivatives," in: Numerical Integration and Related Problems [in Russian], Fan, Tashkent (1990), pp. 77-85.