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Volumn 66, Issue 2, 2001, Pages 199-229

Fundamental systems on numerical schemes for linear convection-diffusion equations and their relationship to accuracy

Author keywords

Artificial viscosity; Boundary layer; Convection diffusion; Singular perturbation; Uniform convergence

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; LINEAR EQUATIONS; MATRIX ALGEBRA; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; POLYNOMIALS; SET THEORY;

EID: 0034963304     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006070170035     Document Type: Article
Times cited : (11)

References (15)
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  • 3
    • 0000493883 scopus 로고    scopus 로고
    • Uniform error estimates for an exponentially fitted finite element method for singularly perturbed elliptic equations
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 1709-1738
    • Dörfler, W.1
  • 4
    • 0004728002 scopus 로고
    • A difference scheme for a three-dimensional elliptic equation with a small parameter multiplying the highest derivative
    • (in Russian). USSR Academy of Sciences, Ural Scientific Centre
    • (1973)
    • Emeljanov, K.V.1
  • 5
    • 0003549965 scopus 로고
    • Elliptic partial differential equations of second order
    • Berlin, Heidelberg, New York, Tokyo: Springer
    • (1977)
    • Gilbarg, D.1    Trudinger, N.S.2
  • 6
    • 84980083148 scopus 로고
    • On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients
    • (1961) Commun. Pure Appl. Math. , vol.14 , pp. 497-520
    • Lax, P.D.1
  • 7
    • 0004672155 scopus 로고    scopus 로고
    • Group velocity analysis of Galerkin finite element methods for advection in one and two dimensions
    • PhD-thesis, University of Dundee
    • (1996)
    • Mathai, G.1
  • 8
    • 0003648493 scopus 로고
    • Numerical solution of convection-diffusion problems
    • Oxford: Oxford University Press
    • (1995)
    • Morton, K.W.1
  • 11
    • 0004698587 scopus 로고    scopus 로고
    • Universität Freiburg
    • Private communication
    • Peter, M.1
  • 13
    • 0004694288 scopus 로고    scopus 로고
    • Necessary conditions for uniform convergence of finite difference schemes for convection-diffusion problems with exponential and parabolic layers
    • (1996) Appl. Math. , vol.41 , pp. 269-280
    • Roos, H.-G.1    Stynes, M.2
  • 14
    • 0003455090 scopus 로고    scopus 로고
    • Numerical methods for singularly perturbed differential equations
    • Berlin, Heidelberg, New York, Tokyo: Springer
    • (1996)
    • Roos, H.-G.1    Stynes, M.2    Tobiska, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.