메뉴 건너뛰기




Volumn 23, Issue 3, 1999, Pages 211-233

Cubature Formulae and Polynomial Ideals

Author keywords

Cubature formula; polynomial ideal; variety; orthogonal polynomials in several variables; common zeros

Indexed keywords


EID: 0043246121     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1006/aama.1999.0652     Document Type: Article
Times cited : (7)

References (14)
  • 2
    • 0002095317 scopus 로고
    • Two-variable analogues of the classical orthogonal polynomials
    • R. A. Askey. New York: Academic Press
    • Koornwinder T. Two-variable analogues of the classical orthogonal polynomials. Askey R. A. Theory and Application of Special Functions. 1975;435-495 Academic Press, New York.
    • (1975) Theory and Application of Special Functions , pp. 435-495
    • Koornwinder, T.1
  • 4
    • 0000561999 scopus 로고
    • Kubaturformeln mit minimaler Knotenzahl
    • Möller H. M. Kubaturformeln mit minimaler Knotenzahl. Numer. Math. 35:1976;185-200.
    • (1976) Numer. Math. , vol.35 , pp. 185-200
    • Möller, H.M.1
  • 5
    • 0011681217 scopus 로고
    • Construction of algebraic cubature rules using polynomial ideal theory
    • Morrow C. R., Patterson T. N. L. Construction of algebraic cubature rules using polynomial ideal theory. SIAM J. Numer. Anal. 15:1978;953-976.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 953-976
    • Morrow, C.R.1    Patterson, T.N.L.2
  • 6
    • 0041743385 scopus 로고
    • Numerical characteristics of orthogonal polynomials in two variables
    • Mysovskikh I. P. Numerical characteristics of orthogonal polynomials in two variables. Vestn. Leningrad Univ. Math. 3:1976;323-332.
    • (1976) Vestn. Leningrad Univ. Math. , vol.3 , pp. 323-332
    • Mysovskikh, I.P.1
  • 7
    • 0002582460 scopus 로고
    • The approximation of multiple integrals by using interpolatory cubature formulae
    • R. A. DeVore, & K. Scherer. New York: Academic Press
    • Mysovskikh I. P. The approximation of multiple integrals by using interpolatory cubature formulae. DeVore R. A., Scherer K. Quantitative Approximation. 1980;Academic Press, New York.
    • (1980) Quantitative Approximation
    • Mysovskikh, I.P.1
  • 9
    • 0000650242 scopus 로고
    • Zur mechanischen Kubatur
    • Radon. Zur mechanischen Kubatur. Monatsh. Math. 52:1948;286-300.
    • (1948) Monatsh. Math. , vol.52 , pp. 286-300
    • Radon1
  • 11
    • 0040093798 scopus 로고
    • Block Jacobi matrices and zeros of multivariate orthogonal polynomials
    • Xu Y. Block Jacobi matrices and zeros of multivariate orthogonal polynomials. Trans. Amer. Math. Soc. 342:1994;855-866.
    • (1994) Trans. Amer. Math. Soc. , vol.342 , pp. 855-866
    • Xu, Y.1
  • 12
    • 0003925478 scopus 로고
    • Common Zeros of Polynomials in Several Variables and Higher Dimensional Quadrature
    • Essex: Longman
    • Xu Y. Common Zeros of Polynomials in Several Variables and Higher Dimensional Quadrature. Pitman Research Notes in Mathematics Series. 1994;Longman, Essex.
    • (1994) Pitman Research Notes in Mathematics Series
    • Xu, Y.1
  • 13
    • 0000250992 scopus 로고    scopus 로고
    • On orthogonal polynomials in several variables
    • Fields Institute Communications. p. 247-270
    • Xu Y. On orthogonal polynomials in several variables. Special Functions, q-Series, and Related Topics. 1997;Fields Institute Communications. p. 247-270.
    • (1997) Special Functions, Q-series, and Related Topics
    • Xu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.