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Volumn 40, Issue 2, 2000, Pages 241-266

Spectral deferred correction methods for ordinary differential equations

Author keywords

Deferred correction; Initial value problems; Spectral methods; Stiffness

Indexed keywords


EID: 0042185232     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022338906936     Document Type: Article
Times cited : (439)

References (21)
  • 4
    • 0022386501 scopus 로고
    • Recent progress in extrapolation methods for ordinary differential equations
    • P. Deuflhard, Recent progress in extrapolation methods for ordinary differential equations, SIAM Rev., 27 (1985), pp. 505-535.
    • (1985) SIAM Rev. , vol.27 , pp. 505-535
    • Deuflhard, P.1
  • 5
    • 0009902928 scopus 로고    scopus 로고
    • Fast algorithms for polynomial interpolation, integration, and differentiation
    • A. Dutt, M. Gu, and V. Rokhlin, Fast algorithms for polynomial interpolation, integration, and differentiation, SIAM J. Numer. Anal., 33 (1996), pp. 1689-1711.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1689-1711
    • Dutt, A.1    Gu, M.2    Rokhlin, V.3
  • 6
    • 0042275171 scopus 로고
    • Iterated deferred correction for the efficient solution of stiff systems of ordinary differential equations
    • R. Frank and C. W. Ueberhuber, Iterated deferred correction for the efficient solution of stiff systems of ordinary differential equations, BIT, 17 (1977), pp. 146-159.
    • (1977) BIT , vol.17 , pp. 146-159
    • Frank, R.1    Ueberhuber, C.W.2
  • 9
    • 0026202215 scopus 로고
    • Spectral integration and two-point boundary value problems
    • L. Greengard, Spectral integration and two-point boundary value problems, SIAM J. Numer. Anal., 28 (1991), pp. 1071-1080.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1071-1080
    • Greengard, L.1
  • 12
    • 0001943898 scopus 로고
    • Stiffness of ODEs
    • D. J. Higham and L. N. Trefethen, Stiffness of ODEs, BIT, 33 (1993), pp. 285-303.
    • (1993) BIT , vol.33 , pp. 285-303
    • Higham, D.J.1    Trefethen, L.N.2
  • 14
    • 0009632540 scopus 로고
    • Stability and accuracy of time discretizations for initial value problems
    • R. Jeltsch and O. Nevanlinna, Stability and accuracy of time discretizations for initial value problems, Numer. Math., 40 (1982), pp. 245-296.
    • (1982) Numer. Math. , vol.40 , pp. 245-296
    • Jeltsch, R.1    Nevanlinna, O.2
  • 16
    • 0037855749 scopus 로고
    • Error estimation and iterative improvement for discretization algorithms
    • B. Lindberg, Error estimation and iterative improvement for discretization algorithms, BIT, 20 (1980), pp. 486-500.
    • (1980) BIT , vol.20 , pp. 486-500
    • Lindberg, B.1
  • 17
    • 0008499364 scopus 로고
    • Iterated deferred correction for nonlinear boundary value problems
    • V. Pereyra, Iterated deferred correction for nonlinear boundary value problems, Numer. Math., 11 (1968), pp. 111-125.
    • (1968) Numer. Math. , vol.11 , pp. 111-125
    • Pereyra, V.1
  • 18
    • 0000140271 scopus 로고
    • A theoretical framework for proving accuracy results for deferred correction
    • R. D. Skeel, A theoretical framework for proving accuracy results for deferred correction, SIAM J. Numer. Anal., 19 (1976), pp. 171-196.
    • (1976) SIAM J. Numer. Anal. , vol.19 , pp. 171-196
    • Skeel, R.D.1
  • 20
    • 0023433933 scopus 로고
    • An instability phenomenon in spectral methods
    • L. N. Trefethen and M. R. Trummer, An instability phenomenon in spectral methods, SIAM J. Numer. Anal., 24 (1987), pp. 1008-1023.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 1008-1023
    • Trefethen, L.N.1    Trummer, M.R.2
  • 21
    • 0007148564 scopus 로고
    • On the estimation of errors propagated in the numerical integration of ordinary differential equations
    • P. E. Zadunaisky, On the estimation of errors propagated in the numerical integration of ordinary differential equations, Numer. Math., 27 (1976), pp. 21-40.
    • (1976) Numer. Math. , vol.27 , pp. 21-40
    • Zadunaisky, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.