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Volumn 41, Issue 5, 2003, Pages 1851-1869

Error expansion for an upwind scheme applied to a two-dimensional convection-diffusion problem

Author keywords

Approximation of derivatives; Convection diffusion; Error expansion; Richardson extrapolation; Shishkin mesh; Singular perturbation; Upwind scheme

Indexed keywords

APPROXIMATION THEORY; DIFFUSION; ERROR ANALYSIS; EXTRAPOLATION; NUMERICAL METHODS; PERTURBATION TECHNIQUES;

EID: 9244254734     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S003614290241074X     Document Type: Conference Paper
Times cited : (26)

References (15)
  • 1
    • 0035606539 scopus 로고    scopus 로고
    • Defect correction on Shishkin-type meshes
    • A. FRÖHNER, T. LINß, AND H.-G. ROOS, Defect correction on Shishkin-type meshes, Numer. Algorithms, 26 (2001), pp. 281-299.
    • (2001) Numer. Algorithms , vol.26 , pp. 281-299
    • Fröhner, A.1    Linß, T.2    Roos, H.-G.3
  • 3
    • 0035479453 scopus 로고    scopus 로고
    • Approximation of derivatives in a convection-diffusion two-point boundary value problem
    • N. KOPTEVA AND M. STYNES, Approximation of derivatives in a convection-diffusion two-point boundary value problem, Appl. Numer. Math., 39 (2001), pp. 47-60.
    • (2001) Appl. Numer. Math. , vol.39 , pp. 47-60
    • Kopteva, N.1    Stynes, M.2
  • 4
    • 9244234124 scopus 로고    scopus 로고
    • Error expansion for a first-order upwind difference scheme
    • to appear
    • T. LINß, Error expansion for a first-order upwind difference scheme, IMA J. Numer. Anal., to appear.
    • IMA J. Numer. Anal.
    • Linß, T.1
  • 5
    • 17744413437 scopus 로고    scopus 로고
    • A hybrid difference scheme on a Shishkin mesh for linear convection-diffusion problems
    • T. LINß AND M. STYNES, A hybrid difference scheme on a Shishkin mesh for linear convection-diffusion problems, Appl. Numer. Math., 31 (1999), pp. 255-270.
    • (1999) Appl. Numer. Math. , vol.31 , pp. 255-270
    • Linß, T.1    Stynes, M.2
  • 6
    • 17744363262 scopus 로고    scopus 로고
    • Numerical methods on Shishkin meshes for linear convection-diffusion problems
    • T. LINß AND M. STYNES, Numerical methods on Shishkin meshes for linear convection-diffusion problems, Comput. Methods Appl. Mech. Engrg., 190 (2001), pp. 3527-3542.
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 3527-3542
    • Linß, T.1    Stynes, M.2
  • 7
    • 0035885630 scopus 로고    scopus 로고
    • Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem
    • T. LINß AND M. STYNES, Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem, J. Math. Anal. Appl., 261 (2001), pp. 604-632.
    • (2001) J. Math. Anal. Appl. , vol.261 , pp. 604-632
    • Linß, T.1    Stynes, M.2
  • 9
    • 0037401927 scopus 로고    scopus 로고
    • Richardson extrapolation for a convection-diffusion problem using a Shishkin mesh
    • M. C. NATIVIDAD AND M. STYNES, Richardson extrapolation for a convection-diffusion problem using a Shishkin mesh, Appl. Numer. Math., 45 (2003), pp. 315-329.
    • (2003) Appl. Numer. Math. , vol.45 , pp. 315-329
    • Natividad, M.C.1    Stynes, M.2
  • 12
    • 0010999802 scopus 로고
    • Increasing the accuracy of solutions of difference schemes for parabolic equations with a small parameter multiplying the highest derivative
    • in Russian
    • G. I. SHISHKIN, Increasing the accuracy of solutions of difference schemes for parabolic equations with a small parameter multiplying the highest derivative, Zh. Vychisl. Mat. Mat. Fiz., 24 (1984), pp. 864-875 (in Russian).
    • (1984) Zh. Vychisl. Mat. Mat. Fiz. , vol.24 , pp. 864-875
    • Shishkin, G.I.1
  • 14
    • 9244228264 scopus 로고    scopus 로고
    • Grid approximations for singularly perturbed elliptic equations
    • in Russian
    • G. I. SHISHKIN, Grid approximations for singularly perturbed elliptic equations, Zh. Vychisl. Mat. Mat. Fiz., 38 (1998), pp. 1989-2001 (in Russian); English translation in Comput. Math. Math. Phys., 38 (1998), pp. 1909-1921.
    • (1998) Zh. Vychisl. Mat. Mat. Fiz. , vol.38 , pp. 1989-2001
    • Shishkin, G.I.1
  • 15
    • 9244228264 scopus 로고    scopus 로고
    • G. I. SHISHKIN, Grid approximations for singularly perturbed elliptic equations, Zh. Vychisl. Mat. Mat. Fiz., 38 (1998), pp. 1989-2001 (in Russian); English translation in Comput. Math. Math. Phys., 38 (1998), pp. 1909-1921.
    • (1998) Comput. Math. Math. Phys. , vol.38 , pp. 1909-1921


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.