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Volumn 2, Issue 1, 2001, Pages 41-49

Finite difference schemes for convection-diffusion problems with a concentrated source and a discontinuous convection field

Author keywords

Bakhvalov mesh; Concentrated source; Convection Diffusion; Shishkin mesh; Singular perturbation; Upwind scheme

Indexed keywords


EID: 0012319859     PISSN: 16094840     EISSN: 16099389     Source Type: Journal    
DOI: 10.2478/cmam-2002-0003     Document Type: Article
Times cited : (24)

References (15)
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    • On the convergence, uniform with respect to ca small parameter, of monotone three-point finite-difference approximations
    • V. B. Andreev and N. V. Kopteva, On the convergence, uniform with respect to ca small parameter, of monotone three-point finite-difference approximations, Differ. Equations, 34 (1998), No. 7, pp. 921-929.
    • (1998) Differ. Equations , vol.34 , Issue.7 , pp. 921-929
    • Andreev, V.B.1    Kopteva, N.V.2
  • 3
    • 0000186754 scopus 로고
    • The uniform convergence with respect to ca small parameter of A. A. Samarskij's monotone scheme and its modification
    • V. B. Andreev and I. A. Savin, The uniform convergence with respect to ca small parameter of A. A. Samarskij's monotone scheme and its modification, Comput. Math. Math. Phys., 35 (1995), No. 5, pp.581-591.
    • (1995) Comput. Math. Math. Phys. , vol.35 , Issue.5
    • Andreev, V.B.1    Savin, I.A.2
  • 4
    • 0001238824 scopus 로고
    • Towards optimization of methods for solving boundary value problems in the presence of boundary layers
    • N. S. Bakhvalov, Towards optimization of methods for solving boundary value problems in the presence of boundary layers, Zh. Vychisl. Mat. i Mat. Fiz., 9 (1969), pp. 841-859, in Russian.
    • (1969) Zh. Vychisl. Mat. i Mat. Fiz. , vol.9 , pp. 841-859
    • Bakhvalov, N.S.1
  • 8
    • 84966216257 scopus 로고
    • singular perturbation p roblem without turning points
    • R. B. Kellogg and A. Tsan, Analysis of some difference approximations for a singular perturbation p roblem without turning points, Math. Comput., 32 (1978), pp. 1025-1039, in Russian.
    • (1978) Analysis of some difference approximations for , vol.32 , pp. 1025-1039
    • Kellogg, R.B.1    Tsan, A.2
  • 9
    • 85025256773 scopus 로고
    • Sufficient conditions for uniform convergence on layer-adapted grids
    • T. Linfi, Sufficient conditions for uniform convergence on layer-adapted grids, Appl. Numer. Anal., 32 (1978), pp. 1025-1039, in Russian.
    • (1978) Appl. Numer. Anal. , vol.32 , pp. 1025-1039
    • Linfi, T.1
  • 15
    • 0031141256 scopus 로고    scopus 로고
    • The midpoint upwind scheme
    • M. Stynes and H.-G. Roos, The midpoint upwind scheme, Appl. Numer. Math., 23 (1997), No. 3, pp. 361-374.
    • (1997) Appl. Numer. Math. , vol.23 , Issue.3 , pp. 361-374
    • Stynes, M.1    Roos, H.-G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.