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Journal of Computational and Applied Mathematics
Volumn 84, Issue 1, 1997, Pages 15-21
Cubature formulae of the seventh degree of accuracy for the hypersphere
Author keywords

Cubature formula; Hypersphere; Regular simplex
Indexed keywords

MATHEMATICAL TRANSFORMATIONS; POLYNOMIALS;
EID: 0031251291     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00094-0     Document Type: Article
Times cited : (12)
References (9)
  • 1
    • 0001415473 scopus 로고
    • Monomial cubature rules since 'Stroud': A compilation
    • R. Cools, P. Rabinowitz, Monomial cubature rules since 'Stroud': A compilation, J. Comput. Appl. Math. 48 (1993) 309-326.
    • (1993) J. Comput. Appl. Math. , vol.48 , pp. 309-326
    • Cools, R.1    Rabinowitz, P.2
  • 2
    • 0041354511 scopus 로고
    • Cubature formulae of the seventh order of accuracy for a hypersphere and a hypercube
    • Russian
    • L.N. Dobrodeev, Cubature formulae of the seventh order of accuracy for a hypersphere and a hypercube, Zh. vychisl. Mat. mat. Fiz. 10 (1970), 187-188 (Russian) U.S.S.R. Comput. Maths Math. Phys. 10 (1970) 252-253 (English).
    • (1970) Zh. Vychisl. Mat. Mat. Fiz. , vol.10 , pp. 187-188
    • Dobrodeev, L.N.1
  • 3
    • 0041354516 scopus 로고
    • English
    • L.N. Dobrodeev, Cubature formulae of the seventh order of accuracy for a hypersphere and a hypercube, Zh. vychisl. Mat. mat. Fiz. 10 (1970), 187-188 (Russian) U.S.S.R. Comput. Maths Math. Phys. 10 (1970) 252-253 (English).
    • (1970) U.S.S.R. Comput. Maths Math. Phys. , vol.10 , pp. 252-253
  • 4
    • 0041354512 scopus 로고
    • Upon invariant cubature formulae
    • Theory Cubature Formulae and Applications Functional Analysis in the Problem of Mathematical Physics, Novossibirck Russian
    • I.P. Mysovskikh, Upon invariant cubature formulae, in: Theory Cubature Formulae and Applications Functional Analysis in the Problem of Mathematical Physics - Proc. Sobolev Seminar, Inst. of Math. SO Akad. Nauk USSR, Novossibirck, vol. 1, 1978, pp. 69-78 (Russian).
    • (1978) Proc. Sobolev Seminar, Inst. of Math. SO Akad. Nauk USSR , vol.1 , pp. 69-78
    • Mysovskikh, I.P.1
  • 5
    • 0002582460 scopus 로고
    • The approximation of multiple integrals by using interpolatory cubature formulae
    • R.A. De Vore and K. Scherer (Eds.), New York, Academic Press, New York
    • I.P. Mysovskikh, The approximation of multiple integrals by using interpolatory cubature formulae, in: R.A. De Vore and K. Scherer (Eds.), Quantitative Approximation, New York, Academic Press, New York, 1980, pp. 217-243.
    • (1980) Quantitative Approximation , pp. 217-243
    • Mysovskikh, I.P.1
  • 6
    • 85033125351 scopus 로고
    • Invariant cubature formulae of the fifth degree of accuracy for a multidimensional sphere
    • Tashkent Russian
    • E.A. Shamsiev, Invariant cubature formulae of the fifth degree of accuracy for a multidimensional sphere, Vopr. Vychisl. Prikl. Math. RISO Akad. Nauk UzSSR, Tashkent 61 (1980) 23-30 (Russian).
    • (1980) Vopr. Vychisl. Prikl. Math. RISO Akad. Nauk UzSSR , vol.61 , pp. 23-30
    • Shamsiev, E.A.1
  • 7
    • 0000433498 scopus 로고
    • Formulae for mechanical cubature on the surface of a sphere
    • Russian
    • S.L. Sobolev, Formulae for mechanical cubature on the surface of a sphere, Sibirskii Math. Zh. 3 (1962) 769-796 (Russian).
    • (1962) Sibirskii Math. Zh. , vol.3 , pp. 769-796
    • Sobolev, S.L.1
  • 8
    • 85033110214 scopus 로고
    • Invariant cubature formulae for a sphere and surface of a sphere with the 7th property
    • Sanct - Petersburg Russian
    • S.B. Stoyanova, Invariant cubature formulae for a sphere and surface of a sphere with the 7th property, Methody Vychisl. SPU, Sanct - Petersburg, 17 (1995) 183-194 (Russian).
    • (1995) Methody Vychisl. SPU , vol.17 , pp. 183-194
    • Stoyanova, S.B.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.