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Volumn 34, Issue 2, 2000, Pages 309-328

Chebyshev pseudospectral method and waveform relaxation for differential and differential-functional parabolic equations

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CHEBYSHEV APPROXIMATION; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; MATRIX ALGEBRA;

EID: 0034229468     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00135-X     Document Type: Article
Times cited : (28)

References (14)
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    • Bjørhus, M.1
  • 2
    • 0007138776 scopus 로고
    • A note on the convergence of discretized dynamic iteration
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    • (1995) BIT , vol.35 , pp. 291-296
    • Bjørhus, M.1
  • 3
    • 0007128857 scopus 로고    scopus 로고
    • The performance of preconditioned waveform relaxation techniques for pseudospectral methods
    • [3] K. Burrage, Z. Jackiewicz, R.A. Renaut, The performance of preconditioned waveform relaxation techniques for pseudospectral methods, Numer. Methods Partial Differential Equations 12 (1996) 245-263.
    • (1996) Numer. Methods Partial Differential Equations , vol.12 , pp. 245-263
    • Burrage, K.1    Jackiewicz, Z.2    Renaut, R.A.3
  • 6
    • 84974325250 scopus 로고
    • A review of pseudospectral methods for solving partial differential equations
    • A. Iserles (Ed.), Cambridge University Press
    • [6] B. Fornberg, D.M. Sloan, A review of pseudospectral methods for solving partial differential equations, in: A. Iserles (Ed.), Acta Numerica, Cambridge University Press, 1994, pp. 203-267.
    • (1994) Acta Numerica , pp. 203-267
    • Fornberg, B.1    Sloan, D.M.2
  • 7
    • 0031081858 scopus 로고    scopus 로고
    • Waveform relaxation methods for functional differential systems of neutral type
    • [7] Z. Jackiewicz, M. Kwapisz, E. Lo, Waveform relaxation methods for functional differential systems of neutral type, J. Math. Anal. Appl. 207 (1997) 255-285.
    • (1997) J. Math. Anal. Appl. , vol.207 , pp. 255-285
    • Jackiewicz, Z.1    Kwapisz, M.2    Lo, E.3
  • 9
    • 0023230871 scopus 로고
    • Multi-grid dynamic iteration for parabolic equations
    • [9] Ch. Lubich, A. Osterman, Multi-grid dynamic iteration for parabolic equations, BIT 27 (1987) 216-234.
    • (1987) BIT , vol.27 , pp. 216-234
    • Lubich, Ch.1    Osterman, A.2
  • 10
    • 0032228622 scopus 로고    scopus 로고
    • A Jacobi waveform relaxation method for ODEs
    • [10] J. Sand, K. Burrage, A Jacobi waveform relaxation method for ODEs, SIAM J. Sci. Comput. 20 (2) (1998) 534-552.
    • (1998) SIAM J. Sci. Comput. , vol.20 , Issue.2 , pp. 534-552
    • Sand, J.1    Burrage, K.2
  • 11
    • 0007148549 scopus 로고
    • Student Report, Department of Mathematical Sciences, The Norwegian Institute of Technology, Trodheim, Norway
    • [11] R.E. Spilling, Dynamic iteration an the pseudospectral method, Student Report, Department of Mathematical Sciences, The Norwegian Institute of Technology, Trodheim, Norway, 1993.
    • (1993) Dynamic Iteration an the Pseudospectral Method
    • Spilling, R.E.1
  • 13
    • 0031515211 scopus 로고    scopus 로고
    • The method of lines for parabolic differential-functional equations
    • [13] B. Zubik-Kowal, The method of lines for parabolic differential-functional equations, IMA J. Numer. Anal. 17 (1997) 103-123.
    • (1997) IMA J. Numer. Anal. , vol.17 , pp. 103-123
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  • 14
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    • Waveform relaxation for functional-differential equations
    • [14] B. Zubik-Kowal, S. Vandewalle, Waveform relaxation for functional-differential equations, SIAM J. Sci. Comput. 21 (1) (1999) 207-226.
    • (1999) SIAM J. Sci. Comput. , vol.21 , Issue.1 , pp. 207-226
    • Zubik-Kowal, B.1    Vandewalle, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.