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Volumn 24, Issue 3, 2003, Pages 945-954

On computing the points and weights for Gauss-Legendre quadrature

Author keywords

Fourier Newton methods; Gauss quadrature; Legendre polynomials

Indexed keywords

COMPUTER SIMULATION; DIGITAL ARITHMETIC; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; INVERSE PROBLEMS; VECTORS;

EID: 0037732656     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827500379690     Document Type: Article
Times cited : (63)

References (14)
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  • 3
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    • Some modified matrix eigenvalue problems
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    • (1973) SIAM Rev. , vol.15 , pp. 318-334
    • Golub, G.H.1
  • 8
    • 0033343682 scopus 로고    scopus 로고
    • On the computation of the Gauss-Legendre quadrature formula with a given precision
    • K. Petras, On the computation of the Gauss-Legendre quadrature formula with a given precision, J. Comput. Appl. Math., 112 (1999), pp. 253-267.
    • (1999) J. Comput. Appl. Math. , vol.112 , pp. 253-267
    • Petras, K.1
  • 9
    • 85160639926 scopus 로고    scopus 로고
    • www.scd.ucar.edu/css/software/spherepack
  • 11
    • 84968465040 scopus 로고
    • A parallel algorithm for computing the eigenvalues of a symmetric tridiagonal matrix
    • P. N. Swarztrauber, A parallel algorithm for computing the eigenvalues of a symmetric tridiagonal matrix, Math. Comp., 20 (1993), pp. 651-668.
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    • Swarztrauber, P.N.1
  • 12
    • 0001311934 scopus 로고
    • The vector harmonic transform method for solving partial differential equations in spherical geometry
    • P. N. Swarztrauber, The vector harmonic transform method for solving partial differential equations in spherical geometry, Monthly Weather Rev., 121 (1993), pp. 3415-3437.
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    • Swarztrauber, P.N.1
  • 13
    • 0038347892 scopus 로고    scopus 로고
    • Generalized discrete spherical harmonic transforms
    • P. N. Swarztrauber and W. F. Spotz, Generalized discrete spherical harmonic transforms, J. Comput. Phys., 159 (2000), pp. 213-230.
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  • 14
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    • Accurate computation of weights in classical Gauss-Christoffel quadrature rules
    • E. Yakimiw, Accurate computation of weights in classical Gauss-Christoffel quadrature rules, J. Comput. Phys., 129 (1996), pp. 406-430.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.