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Volumn 18, Issue 4, 1997, Pages 1040-1055

Accuracy enhancement for higher derivatives using Chebyshev collocation and a mapping technique

Author keywords

Chebyshev collocation; Differentiation matrix; Roundoff error; Tal Ezer mapping

Indexed keywords

CHEBYSHEV COLLOCATION; DIFFERENTIATION MATRIX; GRID MAPPING; ROUNDOFF ERROR;

EID: 0031173530     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827594274607     Document Type: Article
Times cited : (53)

References (9)
  • 1
    • 0001044964 scopus 로고
    • Accuracy and speed in computing the Chebyshev collocation derivative
    • W. S. DON AND A. SOLOMONOFF, Accuracy and speed in computing the Chebyshev collocation derivative, SIAM J. Sci. Comput., 16 (1995), pp. 1253-1268.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 1253-1268
    • Don, W.S.1    Solomonoff, A.2
  • 5
    • 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
  • 6
    • 0000155361 scopus 로고
    • The accuracy of floating point summation
    • N. J. HIGHAM, The accuracy of floating point summation, SIAM J. Sci. Comput., 14 (1993), pp. 783-799.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 783-799
    • Higham, N.J.1
  • 7
    • 0011238490 scopus 로고
    • Some algorithms for use with the fast Fourier transform
    • J. DOLLIMORE, Some algorithms for use with the fast Fourier transform, J. Inst. Math. Appl., 12 (1973), pp. 115-117.
    • (1973) J. Inst. Math. Appl. , vol.12 , pp. 115-117
    • Dollimore, J.1
  • 8
    • 0014810746 scopus 로고
    • The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine, and Laplace transforms
    • J. W. COOLEY, P. A. W. LEWIS, AND P. D. WELCH, The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine, and Laplace transforms, J. Sound Vibration, 12 (1970), pp. 315-337.
    • (1970) J. Sound Vibration , vol.12 , pp. 315-337
    • Cooley, J.W.1    Lewis, P.A.W.2    Welch, P.D.3
  • 9
    • 84966237212 scopus 로고
    • Symmetric FFTs
    • P. N. SWARZTRAUBER, Symmetric FFTs, Math. Comp., 47 (1986), pp. 323-346.
    • (1986) Math. Comp. , vol.47 , pp. 323-346
    • Swarztrauber, P.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.