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Volumn 6, Issue 2, 1999, Pages 421-435

Error reduction for higher derivatives of Chebyshev collocation method using preconditioning and domain decomposition

Author keywords

Chebyshev collocation derivative; Differentiation matrix; Domain decomposition; Matrix vector multiplication; Preconditioning

Indexed keywords

ERRORS;

EID: 32144444944     PISSN: 15985865     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf03014385     Document Type: Article
Times cited : (11)

References (8)
  • 1
    • 0002389094 scopus 로고
    • On the errors incurred calculating derivatives using chebyshev polynomials
    • K. S. Breuer and R. S. Everson, On the Errors Incurred Calculating Derivatives Using Chebyshev Polynomials, J. Comput. Physics, 99 (1992), 56-67.
    • (1992) J. Comput. Physics , vol.99 , pp. 56-67
    • Breuer, K.S.1    Everson, R.S.2
  • 3
    • 0031173530 scopus 로고    scopus 로고
    • Accuracy enhancement for higher derivatives using chebyshev collocation and a mapping technique
    • W. S. Don and A. Solomonoff, Accuracy Enhancement For Higher Derivatives Using Chebyshev Collocation and A Mapping Technique, SIAM J. of Sci. Comput., 18, no. 4 (1997), 1040-1055.
    • (1997) SIAM J. of Sci. Comput. , vol.18 , Issue.4 , pp. 1040-1055
    • Don, W.S.1    Solomonoff, A.2
  • 4
    • 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. of Sci. Comput., 16, no. 4 (1995), 1253-1268.
    • (1995) SIAM J. of Sci. Comput. , vol.16 , Issue.4 , pp. 1253-1268
    • Don, W.S.1    Solomonoff, A.2
  • 6
    • 0000017843 scopus 로고
    • -1) time step restriction
    • D. Kosloff and H. Tal-Ezer, A Modified Chebyshev Pseudospectral Method with an O(N-1) Time Step Restriction, J. Comput. Physics 104 (1993), 457-469.
    • (1993) J. Comput. Physics , vol.104 , pp. 457-469
    • Kosloff, D.1    Tal-Ezer, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.