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Volumn 37, Issue 1-2, 2001, Pages 79-94

ε-uniform convergence of a defect correction method on a Shishkin mesh

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; ERROR CORRECTION; FINITE DIFFERENCE METHOD; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

EID: 0343462153     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(00)00026-X     Document Type: Article
Times cited : (13)

References (10)
  • 1
    • 0000186754 scopus 로고
    • The uniform convergence with respect to a small parameter of A.A. Samarskii's monotone scheme and its modification
    • Andreyev V.B., Savin I.A. The uniform convergence with respect to a small parameter of A.A. Samarskii's monotone scheme and its modification. Comput. Math. Math. Phys. 35:(5):1995;581-591.
    • (1995) Comput. Math. Math. Phys. , vol.35 , Issue.5 , pp. 581-591
    • Andreyev, V.B.1    Savin, I.A.2
  • 2
    • 0030680323 scopus 로고    scopus 로고
    • Adaptive refinement for convection-diffusion problems based on a defect-correction technique and finite difference method
    • Axelsson O., Nikolova M. Adaptive refinement for convection-diffusion problems based on a defect-correction technique and finite difference method. Computing. 58:1997;1-30.
    • (1997) Computing , vol.58 , pp. 1-30
    • Axelsson, O.1    Nikolova, M.2
  • 3
    • 0008759565 scopus 로고
    • An analysis of a defect-correction method for a model convection diffusion equation
    • Ervin V., Layton W. An analysis of a defect-correction method for a model convection diffusion equation. SIAM J. Numer. Anal. 26:(1):1989;169-179.
    • (1989) SIAM J. Numer. Anal. , vol.26 , Issue.1 , pp. 169-179
    • Ervin, V.1    Layton, W.2
  • 4
    • 0343962079 scopus 로고
    • An accurate method without directional bias for the numerical solution of a 2-D elliptic singular perturbation problem
    • W. Eckhaus, & E.M. de Jager. Berlin: Springer
    • Hemker P.W. An accurate method without directional bias for the numerical solution of a 2-D elliptic singular perturbation problem. Eckhaus W., de Jager E.M. Theory and Applications of Singular Perturbations. Lecture Notes in Mathematics. 942:1982;192-206 Springer, Berlin.
    • (1982) Theory and Applications of Singular Perturbations. Lecture Notes in Mathematics , vol.942 , pp. 192-206
    • Hemker, P.W.1
  • 5
    • 84966216257 scopus 로고
    • Analysis of some difference approximations for a singular perturbation problem without turning points
    • Kellogg R.B., Tsan A. Analysis of some difference approximations for a singular perturbation problem without turning points. Math. Comp. 32:1978;1025-1039.
    • (1978) Math. Comp. , vol.32 , pp. 1025-1039
    • Kellogg, R.B.1    Tsan, A.2
  • 7
    • 22044433064 scopus 로고    scopus 로고
    • Layer-adapted grids for singular perturbation problems
    • Roos H.-G. Layer-adapted grids for singular perturbation problems. Z. Angew. Math. Mech. 78:(5):1998;291-309.
    • (1998) Z. Angew. Math. Mech. , vol.78 , Issue.5 , pp. 291-309
    • Roos, H.-G.1
  • 10
    • 0012217146 scopus 로고    scopus 로고
    • Error estimates and numerical experiments for streamline diffusion type method on arbitrary and Shishkin meshes
    • Stynes M., Tobiska L. Error estimates and numerical experiments for streamline diffusion type method on arbitrary and Shishkin meshes. CWI Quarterly. 10:1997;337-352.
    • (1997) CWI Quarterly , vol.10 , pp. 337-352
    • Stynes, M.1    Tobiska, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.