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Volumn 8, Issue 2, 2001, Pages 99-110

Superconvergence of finite difference approximations for convection-diffusion problems

Author keywords

Convection diffusion equations; Finite difference methods; Shortley Weller approximation; Superconvergence

Indexed keywords


EID: 0035579904     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/1099-1506(200103)8:2<99::AID-NLA233>3.0.CO;2-8     Document Type: Article
Times cited : (7)

References (17)
  • 1
    • 0001585248 scopus 로고
    • On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation
    • Bramble JH, Hubbard BE. On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation. Numerische Mathematik 1962; 4:313-327.
    • (1962) Numerische Mathematik , vol.4 , pp. 313-327
    • Bramble, J.H.1    Hubbard, B.E.2
  • 2
    • 0008783423 scopus 로고
    • Gerschgorins Methode der Fehlerabschätzung bei Differenzenverfahren
    • Springer: New York
    • Gorenflo R, Über S. Gerschgorins Methode der Fehlerabschätzung bei Differenzenverfahren. Lecture Notes in Mathematics, Springer: New York, vol. 333, 1973; 128-143.
    • (1973) Lecture Notes in Mathematics , vol.333 , pp. 128-143
    • Gorenflo, R.1    Über, S.2
  • 5
    • 0002106792 scopus 로고    scopus 로고
    • On the accuracy of finite difference solution for Dirichlet problems
    • RIMS: Kyoto University
    • Yamamoto T. On the accuracy of finite difference solution for Dirichlet problems. In RIMS Kokyuroku, no. 1040, RIMS: Kyoto University, 1998; 135-142.
    • (1998) RIMS Kokyuroku , Issue.1040 , pp. 135-142
    • Yamamoto, T.1
  • 7
    • 0001805656 scopus 로고    scopus 로고
    • Comparison of three finite difference approximations for Dirichlet problems
    • Matsunaga N. Comparison of three finite difference approximations for Dirichlet problems. Information. 1999; 2:55-64.
    • (1999) Information , vol.2 , pp. 55-64
    • Matsunaga, N.1
  • 15
    • 0003264873 scopus 로고
    • Remarks on the order of convergence in the discrete Dirichlet problem
    • Bramble JH (ed.)., Academic Press: New York
    • Hubbard B. Remarks on the order of convergence in the discrete Dirichlet problem. In Numerical Solution of Partial Differential Equations, Bramble JH (ed.)., Academic Press: New York, 1966.
    • (1966) Numerical Solution of Partial Differential Equations
    • Hubbard, B.1
  • 16
    • 0033350379 scopus 로고    scopus 로고
    • Convergence of Swartztrauber-Sweet's approximation for the Poisson-type equation on a disk
    • Matsunaga N, Yamamoto T. Convergence of Swartztrauber-Sweet's approximation for the Poisson-type equation on a disk. Numerical Functional Analysis and Optimization 1999; 20:917-928.
    • (1999) Numerical Functional Analysis and Optimization , vol.20 , pp. 917-928
    • Matsunaga, N.1    Yamamoto, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.