메뉴 건너뛰기




Volumn 162, Issue 2, 2010, Pages 407-420

Three term recurrence for the evaluation of multivariate orthogonal polynomials

Author keywords

Evaluation algorithms; Multivariate orthogonal polynomials; Recurrence relations

Indexed keywords


EID: 74149085378     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1016/j.jat.2009.07.005     Document Type: Article
Times cited : (20)

References (20)
  • 2
    • 0037081333 scopus 로고    scopus 로고
    • Rounding error bounds for the Clenshaw and Forsythe algorithms for the evaluation of orthogonal polynomial series
    • Barrio R. Rounding error bounds for the Clenshaw and Forsythe algorithms for the evaluation of orthogonal polynomial series. J. Comput. Appl. Math. 138 (2002) 185-204
    • (2002) J. Comput. Appl. Math. , vol.138 , pp. 185-204
    • Barrio, R.1
  • 3
    • 0038124504 scopus 로고    scopus 로고
    • A unified rounding error bound for polynomial evaluation
    • Barrio R. A unified rounding error bound for polynomial evaluation. Adv. Comput. Math. 19 (2003) 385-399
    • (2003) Adv. Comput. Math. , vol.19 , pp. 385-399
    • Barrio, R.1
  • 4
    • 0036896317 scopus 로고    scopus 로고
    • Numerical evaluation of the pth derivative of Jacobi series
    • Barrio R., and Peña J.M. Numerical evaluation of the pth derivative of Jacobi series. Appl. Numer. Math. 43 (2002) 335-357
    • (2002) Appl. Numer. Math. , vol.43 , pp. 335-357
    • Barrio, R.1    Peña, J.M.2
  • 5
    • 74149083261 scopus 로고    scopus 로고
    • Approximation on simplices and orthogonal polynomials
    • Trends and Applications in Constructive Approximation, Birkhäuser, Basel
    • Braess D. Approximation on simplices and orthogonal polynomials. Trends and Applications in Constructive Approximation. Internat. Ser. Numer. Math. vol. 151 (2005), Birkhäuser, Basel 53-60
    • (2005) Internat. Ser. Numer. Math. , vol.151 , pp. 53-60
    • Braess, D.1
  • 7
    • 34247596045 scopus 로고    scopus 로고
    • MOPS: Multivariate orthogonal polynomials (symbolically)
    • Dumitriu I., Edelman A., and Shuman G. MOPS: Multivariate orthogonal polynomials (symbolically). J. Symbolic Comput. 42 (2007) 587-620
    • (2007) J. Symbolic Comput. , vol.42 , pp. 587-620
    • Dumitriu, I.1    Edelman, A.2    Shuman, G.3
  • 8
    • 0003282466 scopus 로고    scopus 로고
    • Orthogonal polynomials of several variables
    • Cambridge University Press, Cambridge
    • Dunkl C.F., and Xu Y. Orthogonal polynomials of several variables. Encyclopedia of Mathematics and its Applications vol. 81 (2001), Cambridge University Press, Cambridge
    • (2001) Encyclopedia of Mathematics and its Applications , vol.81
    • Dunkl, C.F.1    Xu, Y.2
  • 9
    • 0037840691 scopus 로고    scopus 로고
    • Thomas Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains
    • Farouki R.T., Goodman T.N.T., and Sauer T. Thomas Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains. Comput. Aided Geom. Design 20 (2003) 209-230
    • (2003) Comput. Aided Geom. Design , vol.20 , pp. 209-230
    • Farouki, R.T.1    Goodman, T.N.T.2    Sauer, T.3
  • 10
    • 14844338929 scopus 로고    scopus 로고
    • Weak classical orthogonal polynomials in two variables
    • Fernández L., Pérez T.E., and Piñar M.A. Weak classical orthogonal polynomials in two variables. J. Comput. Appl. Math. 178 1-2 (2005) 191-203
    • (2005) J. Comput. Appl. Math. , vol.178 , Issue.1-2 , pp. 191-203
    • Fernández, L.1    Pérez, T.E.2    Piñar, M.A.3
  • 11
    • 18244396022 scopus 로고    scopus 로고
    • Orthogonal polynomials: Computation and approximation
    • Oxford Science Publications. Oxford University Press, New York
    • Gautschi W. Orthogonal polynomials: Computation and approximation. Numerical Mathematics and Scientific Computation (2004), Oxford Science Publications. Oxford University Press, New York
    • (2004) Numerical Mathematics and Scientific Computation
    • Gautschi, W.1
  • 13
    • 0008909251 scopus 로고
    • The recursion formulas for orthogonal polynomials in n variables
    • Kowalski M.A. The recursion formulas for orthogonal polynomials in n variables. SIAM J. Math. Anal. 13 (1982) 309-315
    • (1982) SIAM J. Math. Anal. , vol.13 , pp. 309-315
    • Kowalski, M.A.1
  • 14
    • 0000105784 scopus 로고
    • Orthogonality and recursion for polynomials in n variables
    • Kowalski M.A. Orthogonality and recursion for polynomials in n variables. SIAM J. Math. Anal. 13 (1982) 316-323
    • (1982) SIAM J. Math. Anal. , vol.13 , pp. 316-323
    • Kowalski, M.A.1
  • 15
    • 33748969322 scopus 로고    scopus 로고
    • Jacobi polynomials in Bernstein form
    • Sauer T. Jacobi polynomials in Bernstein form. J. Comput. Appl. Math. 199 (2007) 149-158
    • (2007) J. Comput. Appl. Math. , vol.199 , pp. 149-158
    • Sauer, T.1
  • 16
    • 0347185339 scopus 로고
    • On multivariate orthogonal polynomials
    • Xu Y. On multivariate orthogonal polynomials. SIAM J. Math. Anal. 24 (1993) 783-794
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 783-794
    • Xu, Y.1
  • 17
    • 0003372202 scopus 로고
    • Common zeros of polynomials in several variables and higher-dimensional quadrature
    • Longman Scientific & Technical, Harlow
    • Xu Y. Common zeros of polynomials in several variables and higher-dimensional quadrature. Pitman Research Notes in Mathematics Series vol. 312 (1994), Longman Scientific & Technical, Harlow
    • (1994) Pitman Research Notes in Mathematics Series , vol.312
    • Xu, Y.1
  • 18
    • 21344495829 scopus 로고
    • Recurrence formulas for multivariate orthogonal polynomials
    • Xu Y. Recurrence formulas for multivariate orthogonal polynomials. Math. Comp. 62 (1994) 687-702
    • (1994) Math. Comp. , vol.62 , pp. 687-702
    • Xu, Y.1
  • 19
    • 77954085216 scopus 로고    scopus 로고
    • Lecture notes on orthogonal polynomials of several variables
    • Inzell Lectures on Orthogonal Polynomials, Nova Sci. Publ, Hauppauge, NY
    • Xu Y. Lecture notes on orthogonal polynomials of several variables. Inzell Lectures on Orthogonal Polynomials. Adv. Theory Spec. Funct. Orthogonal Polynomials vol. 2 (2005), Nova Sci. Publ, Hauppauge, NY 141-196
    • (2005) Adv. Theory Spec. Funct. Orthogonal Polynomials , vol.2 , pp. 141-196
    • Xu, Y.1
  • 20
    • 14044277537 scopus 로고    scopus 로고
    • Monomial orthogonal polynomials of several variables
    • Xu Y. Monomial orthogonal polynomials of several variables. J. Approx. Theory 133 (2005) 1-37
    • (2005) J. Approx. Theory , vol.133 , pp. 1-37
    • Xu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.