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Volumn 9, Issue , 1999, Pages 65-76

Orthogonal polynomials and quadrature

Author keywords

Computation of Gauss type quadrature rules; Gauss Kronrod; Gauss Lobatto; Gauss Tur n rules; Orthogonal polynomials

Indexed keywords


EID: 0003805317     PISSN: 10689613     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (32)

References (23)
  • 1
    • 0039923684 scopus 로고
    • A parallel divide and conquer algorithm for the generalized real symmetric definite tridiagonal eigenproblem
    • (L. Reichel, A. Ruttan, and R.S. Varga, eds.), de Gruyter, Berlin
    • BORGES, C.F. AND GRAGG, W.B. 1993. A parallel divide and conquer algorithm for the generalized real symmetric definite tridiagonal eigenproblem. In Numerical Linear Algebra (L. Reichel, A. Ruttan, and R.S. Varga, eds.), de Gruyter, Berlin, pp. 11-29.
    • (1993) Numerical Linear Algebra , pp. 11-29
    • Borges, C.F.1    Gragg, W.B.2
  • 3
    • 84943473262 scopus 로고
    • Über die Gaußische Quadratur und eine Verallgemeinerung derselben
    • Ges. Math. Abhandlungen I, 65-87
    • CHRISTOFFEL, E.B. 1858. Über die Gaußische Quadratur und eine Verallgemeinerung derselben. J. Reine Angew. Math. 55, 61-82. [Ges. Math. Abhandlungen I, 65-87.]
    • (1858) J. Reine Angew. Math. , vol.55 , pp. 61-82
    • Christoffel, E.B.1
  • 5
    • 0001817440 scopus 로고
    • Gauss-Kronrod quadrature - A survey
    • (G.V. Milovanović, ed.), Faculty of Electronic Engineering, Univ. of Niš, Niš
    • GAUTSCHI, W. 1988. Gauss-Kronrod quadrature - a survey. In Numerical Methods and Approximation Theory III (G.V. Milovanović, ed.), Faculty of Electronic Engineering, Univ. of Niš, Niš, pp. 39-66.
    • (1988) Numerical Methods and Approximation Theory III , pp. 39-66
    • Gautschi, W.1
  • 6
    • 85014479701 scopus 로고    scopus 로고
    • Orthogonal polynomials: Applications and computation
    • (A. Iserles, ed.), Cambridge University Press, Cambridge
    • GAUTSCHI, W. 1996. Orthogonal polynomials: applications and computation. In Acta Numerica 1996 (A. Iserles, ed.), Cambridge University Press, Cambridge, pp. 45-119.
    • (1996) Acta Numerica 1996 , pp. 45-119
    • Gautschi, W.1
  • 7
    • 0031270469 scopus 로고    scopus 로고
    • S-orthogonality and construction of Gauss-Turán-type quadrature formulae
    • GAUTSCHI, W. AND MILOVANOVIĆ, G.V. 1997. s-orthogonality and construction of Gauss-Turán-type quadrature formulae. J. Comput. Appl. Math. 86, 205-218.
    • (1997) J. Comput. Appl. Math. , vol.86 , pp. 205-218
    • Gautschi, W.1    Milovanović, G.V.2
  • 9
    • 0001070999 scopus 로고
    • Some modified matrix eigenvalue problems
    • GOLUB, G.H. 1973. Some modified matrix eigenvalue problems. SIAM Rev. 15, 318-334.
    • (1973) SIAM Rev. , vol.15 , pp. 318-334
    • Golub, G.H.1
  • 10
    • 0000223746 scopus 로고
    • Calculation of Gauss quadrature rules
    • GOLUB, G.H. AND WELSCH, J.H. 1969. Calculation of Gauss quadrature rules. Math. Comp. 23, 221-230. Loose microfiche suppl. A1-A10.
    • (1969) Math. Comp. , vol.23 , Issue.LOOSE MICROFICHE SUPPL. A1-A10 , pp. 221-230
    • Golub, G.H.1    Welsch, J.H.2
  • 11
    • 3543002535 scopus 로고
    • Ueber Gaußs neue Methode, die Werthe der Integrale näherungsweise zu finden
    • JACOBI, C.G.J. 1826. Ueber Gaußs neue Methode, die Werthe der Integrale näherungsweise zu finden. J. Reine Angew. Math, 1, 301-308.
    • (1826) J. Reine Angew. Math , vol.1 , pp. 301-308
    • Jacobi, C.G.J.1
  • 12
    • 0039242738 scopus 로고
    • Integration with control of accuracy
    • KRONROD, A.S. 1964. Integration with control of accuracy (Russian), Dokl. Akad. Nauk SSSR 154, 283-286.
    • (1964) Dokl. Akad. Nauk SSSR , vol.154 , pp. 283-286
    • Kronrod, A.S.1
  • 14
    • 0031520388 scopus 로고    scopus 로고
    • Calculation of Gauss-Kronrod quadrature rules
    • LAURIE, D.P. 1997. Calculation of Gauss-Kronrod quadrature rules. Math. Comp. 66, 1133-1145.
    • (1997) Math. Comp. , vol.66 , pp. 1133-1145
    • Laurie, D.P.1
  • 16
    • 84966254560 scopus 로고
    • A note on extended Gaussian quadrature rules
    • MONEGATO, G. 1976. A note on extended Gaussian quadrature rules. Math. Comp. 30, 812-817.
    • (1976) Math. Comp. , vol.30 , pp. 812-817
    • Monegato, G.1
  • 17
    • 0038907490 scopus 로고
    • Sulla convergenza dei funzionali ipergaussiani
    • OSSICINI, A. AND ROSATI, F. 1978. Sulla convergenza dei funzionali ipergaussiani. Rend. Mat. (6) 11, 97-108.
    • (1978) Rend. Mat. , vol.11 , Issue.6 , pp. 97-108
    • Ossicini, A.1    Rosati, F.2
  • 18
    • 0003668665 scopus 로고
    • Prentice-Hall Ser. Comput. Math., Prentice-Hall, Englewood Cliffs, NJ
    • PARLETT, B.N. 1980. The symmetric eigenvalue problem, Prentice-Hall Ser. Comput. Math., Prentice-Hall, Englewood Cliffs, NJ.
    • (1980) The Symmetric Eigenvalue Problem
    • Parlett, B.N.1
  • 19
    • 0005658675 scopus 로고    scopus 로고
    • Corr. repr. SIAM, Philadelphia, PA
    • [Corr. repr. in Classics in Applied Mathematics 20, SIAM, Philadelphia, PA, 1998.]
    • (1998) Classics in Applied Mathematics , vol.20
  • 20
    • 0038925016 scopus 로고
    • Étude sur les formules d'approximation qui servent à calculer la valeur numérique d'une intégrale définie
    • RADAU, R. 1880. Étude sur les formules d'approximation qui servent à calculer la valeur numérique d'une intégrale définie. J. Math. Pures Appl. (3) 6, 283-336.
    • (1880) J. Math. Pures Appl. , vol.6 , Issue.3 , pp. 283-336
    • Radau, R.1
  • 21
    • 0000705414 scopus 로고
    • An algorithm for Gaussian quadrature given modified moments
    • SACK, R.A. AND DONOVAN, A.F. 1971/72. An algorithm for Gaussian quadrature given modified moments. Numer. Math. 18, 465-478.
    • (1971) Numer. Math. , vol.18 , pp. 465-478
    • Sack, R.A.1    Donovan, A.F.2
  • 22
    • 84976656083 scopus 로고
    • A recurrence scheme for converting from one orthogonal expansion into another
    • SALZER, H.E. 1973. A recurrence scheme for converting from one orthogonal expansion into another. Comm. ACM 16, 705-707.
    • (1973) Comm. ACM , vol.16 , pp. 705-707
    • Salzer, H.E.1
  • 23
    • 0002373176 scopus 로고
    • On the theory of the mechanical quadrature
    • Collected Papers 1, 507-514
    • TURÁN, P. 1950. On the theory of the mechanical quadrature. Acta Sci. Math. Szeged 12, 30-37. [Collected Papers 1, 507-514.]
    • (1950) Acta Sci. Math. Szeged , vol.12 , pp. 30-37
    • Turán, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.