메뉴 건너뛰기




Volumn 66, Issue 1, 2001, Pages 27-39

Uniform pointwise convergence of finite difference schemes using grid equidistribution

Author keywords

Convection diffusion problems; Grid equidistribution; Layer adapted mesh; Quasilinear problem; Singular perturbation; Upwind scheme

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; FUNCTIONS; LINEARIZATION; MATRIX ALGEBRA; PERTURBATION TECHNIQUES;

EID: 0034952297     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006070170037     Document Type: Article
Times cited : (28)

References (31)
  • 14
    • 26444604203 scopus 로고    scopus 로고
    • On the convergence, uniform with respect to the small parameter, of a scheme with central difference on refined grids
    • (1999) Comput. Math. Math. Phys. , vol.39 , pp. 1594-1610
    • Kopteva, N.V.1
  • 15
    • 0034347979 scopus 로고    scopus 로고
    • Analysis of a Galerkin finite element method on a Bakhvalov-Shishkin mesh for a linear convection-diffusion problem
    • (2000) IMA J. Numer. Anal. , vol.20 , pp. 621-632
    • Linß, T.1
  • 16
    • 0344614030 scopus 로고    scopus 로고
    • An upwind difference scheme on a novel Shishkin-type mesh for a linear convection-diffusion problem
    • (1999) J. Comput. Appl. Math. , vol.110 , pp. 93-104
    • Linß, T.1
  • 17
    • 0343526144 scopus 로고    scopus 로고
    • Uniform second order pointwise convergence of a finite difference approximation for a quasilinear convection-diffusion problem
    • Preprint MATH-NM-08-99, Institut für Numerische Mathematik, Technische Universität Dresden, June
    • (1999)
    • Linß, T.1
  • 21
    • 0033112611 scopus 로고    scopus 로고
    • Uniform convergence analysis of an upwind finite-difference approximation of a convection-diffusion boundary value problem on an adaptive grid
    • (1999) IMA J. Numer. Anal. , vol.19 , pp. 233-249
    • Mackenzie, J.A.1
  • 23
    • 0032689583 scopus 로고    scopus 로고
    • Analysis of difference approximations to a singularly perturbed two-point boundary value problem on an adaptively generated grid
    • (1999) J. Comput. Appl. Math. , vol.101 , pp. 1-25
    • Qiu, Y.1    Sloan, D.M.2
  • 28
    • 0003435748 scopus 로고    scopus 로고
    • A posteriori error estimation and adaptive mesh-refinement techniques
    • Chichester: J. Wiley
    • (1996)
    • Verfürth, R.1
  • 29
    • 0002560723 scopus 로고
    • A uniform numerical method for quasilinear singular perturbation problems without turning points
    • (1989) Computing , vol.41 , pp. 97-106
    • Vulanović, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.