메뉴 건너뛰기




Volumn 66, Issue 2, 2001, Pages 179-197

Uniform pointwise convergence of difference schemes for convection-diffusion problems on layer-adapted meshes

Author keywords

Bakhvalov mesh; Convection diffusion problems; Four point upwind difference scheme; Shishkin mesh; Singular perturbation

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; ITERATIVE METHODS; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES;

EID: 0034953680     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006070170034     Document Type: Article
Times cited : (31)

References (19)
  • 1
    • 0004730898 scopus 로고    scopus 로고
    • The uniform convergence with respect to a small parameter of the modified A. A. Samarskii's monotone scheme on a smoothly condensing grid
    • (1998) Comp. Math. Math. Phys. , vol.38 , pp. 101-114
    • Andreev, V.B.1
  • 4
    • 0022865824 scopus 로고
    • A conservative uniformly accurate difference method for a singular perturbation problem in conservative form
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 1241-1253
    • Berger, A.E.1
  • 8
    • 21744448456 scopus 로고    scopus 로고
    • Uniform convergence with respect to a small parameter of a four-point scheme for the one-dimensional stationary convection-diffusion equation
    • (1996) Differential Eq. , vol.32 , pp. 958-964
    • Kopteva, N.V.1
  • 9
    • 26444604203 scopus 로고    scopus 로고
    • On the uniform with respect to a small parameter convergence of the central difference scheme on condensing meshes
    • (1997) Comp. Math. Math. Phys. , vol.39 , pp. 1594-1610
    • Kopteva, N.V.1
  • 10
    • 0004723009 scopus 로고    scopus 로고
    • On the uniform in small parameter convergence of a weighted scheme for the one-dimensional time-dependent convection-diffusion equation
    • (1997) Comp. Math. Math. Phys. , vol.37 , pp. 1173-1180
    • Kopteva, N.V.1
  • 16
    • 0003940419 scopus 로고
    • Theory of difference schemes
    • Moskow: Nauka; (in Russian)
    • (1989)
    • Samarski, A.A.1
  • 17
    • 0003602289 scopus 로고
    • Grid approximation of singularly perturbed elliptic and parabolic equations
    • Ekaterinburg: Ur. O. RAN; (in Russian)
    • (1992)
    • Shishkin, G.I.1
  • 19
    • 0004131327 scopus 로고
    • Mesh construction for discretization of singularly perturbed boundary value problems
    • Doctoral Dissertation, University of Novi Sad
    • (1986)
    • Vulanović, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.