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Volumn 163, Issue 2, 2004, Pages 351-379

The Tau method and a new preconditioner

Author keywords

Chebyshev New Tau; Gegenbauer polynomials; Legendre New Tau; New Tau; Tau method

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; LINEAR SYSTEMS; MATHEMATICAL OPERATORS; ORDINARY DIFFERENTIAL EQUATIONS; POLYNOMIALS;

EID: 1142293057     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.04.001     Document Type: Article
Times cited : (9)

References (16)
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    • Cabos, Ch.1
  • 5
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    • An efficient spectral method for ordinary differential equations with rational function coefficients
    • Coutsias E.A. Hagstorm T. Torres D. An efficient spectral method for ordinary differential equations with rational function coefficients Math. Comp. 65 1996 611-635
    • (1996) Math. Comp. , vol.65 , pp. 611-635
    • Coutsias, E.A.1    Hagstorm, T.2    Torres, D.3
  • 7
    • 0001039703 scopus 로고    scopus 로고
    • The origin and nature of spurious Eigenvalues in the spectral tau method
    • Dawkins P.T. Dunbar S.R. Douglass W. The origin and nature of spurious Eigenvalues in the spectral tau method J. Comput. Phys. 147 1998 441-462
    • (1998) J. Comput. Phys. , vol.147 , pp. 441-462
    • Dawkins, P.T.1    Dunbar, S.R.2    Douglass, W.3
  • 9
    • 0016534883 scopus 로고
    • A unified view of some methods for stiff two point boundary value problems
    • Guderlgey K.G. A unified view of some methods for stiff two point boundary value problems SIAM Rev. 17 1975 416-442
    • (1975) SIAM Rev. , vol.17 , pp. 416-442
    • Guderlgey, K.G.1
  • 10
    • 0000776389 scopus 로고    scopus 로고
    • Integration preconditioning of pseudospectral operators. I. basic linear operators
    • Hesthaven J.S. Integration preconditioning of pseudospectral operators. I. basic linear operators SIAM J. Numer. Anal. 35 4 1998 1571-1593
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.4 , pp. 1571-1593
    • Hesthaven, J.S.1
  • 12
    • 84966260622 scopus 로고
    • Numerical solution of stiff and singularly perturbed boundary value problems with a segmented-adaptive formulation of the Tau method
    • Onumanyi P. Ortiz E.L. Numerical solution of stiff and singularly perturbed boundary value problems with a segmented-adaptive formulation of the Tau method Math. Comp. 43 1984 183-203
    • (1984) Math. Comp. , vol.43 , pp. 183-203
    • Onumanyi, P.1    Ortiz, E.L.2
  • 14
    • 0019659830 scopus 로고
    • An operational approach to the Tau method for the numerical solution of nonlinear differential equations
    • Ortiz E.L. Samara H. An operational approach to the Tau method for the numerical solution of nonlinear differential equations Computing 27 1981 15-25
    • (1981) Computing , vol.27 , pp. 15-25
    • Ortiz, E.L.1    Samara, H.2
  • 16
    • 85030895482 scopus 로고
    • 4th Edition, Colloquium Publication 23, American Mathematical Society, Providence, RI
    • G. Szegö, Orthogonal Polynomials, 4th Edition, Colloquium Publication 23, American Mathematical Society, Providence, RI, 1975.
    • (1975) Orthogonal Polynomials
    • Szegö, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.