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Volumn 23, Issue 3, 1997, Pages 361-374

The midpoint upwind scheme

Author keywords

Singular perturbation; Two point boundary value problem; Upwind scheme

Indexed keywords

BOUNDARY LAYERS; CONVERGENCE OF NUMERICAL METHODS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

EID: 0031141256     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(96)00071-2     Document Type: Article
Times cited : (159)

References (10)
  • 1
    • 0000712187 scopus 로고
    • Difference approximations for singular perturbations of systems of ordinary differential equations
    • L.R. Abrahamsson, H.B. Keller and H.O. Kreiss, Difference approximations for singular perturbations of systems of ordinary differential equations, Numer. Math. 22 (1974) 367-391.
    • (1974) Numer. Math. , vol.22 , pp. 367-391
    • Abrahamsson, L.R.1    Keller, H.B.2    Kreiss, H.O.3
  • 2
    • 21844509614 scopus 로고
    • Analysis of a supraconvergent cell vertex finite-volume method for one-dimensional convection-diffusion problems
    • B. Garcia-Archilla and J.A. Mackenzie, Analysis of a supraconvergent cell vertex finite-volume method for one-dimensional convection-diffusion problems, IMA J. Numer. Anal. 15 (1995) 101-115.
    • (1995) IMA J. Numer. Anal. , vol.15 , pp. 101-115
    • Garcia-Archilla, B.1    Mackenzie, J.A.2
  • 3
    • 84966216257 scopus 로고
    • Analysis of some difference approximations for a singular perturbation problem without turning points
    • R.B. Kellogg and A. Tsan, 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
  • 4
    • 21844487877 scopus 로고
    • On piecewise uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems
    • J.J.H. Miller, E. O'Riordan and G.I. Shishkin, On piecewise uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems, IMA J. Numer. Anal. 15 (1995) 89-99.
    • (1995) IMA J. Numer. Anal. , vol.15 , pp. 89-99
    • Miller, J.J.H.1    O'Riordan, E.2    Shishkin, G.I.3
  • 7
    • 0030490165 scopus 로고    scopus 로고
    • A note on the conditioning of upwind schemes on Shishkin meshes
    • H.-G. Roos, A note on the conditioning of upwind schemes on Shishkin meshes, IMA J. Numer. Anal. 16 (1996) 529-538.
    • (1996) IMA J. Numer. Anal. , vol.16 , pp. 529-538
    • Roos, H.-G.1
  • 9
    • 0001588439 scopus 로고
    • Difference scheme for singularly perturbed parabolic equation with discontinuous boundary condition
    • in Russian
    • G.I. Shishkin, Difference scheme for singularly perturbed parabolic equation with discontinuous boundary condition, J. Comput. Math. Math. Phys. 28 (1988) 1679-1692 (in Russian).
    • (1988) J. Comput. Math. Math. Phys. , vol.28 , pp. 1679-1692
    • Shishkin, G.I.1
  • 10
    • 84983920897 scopus 로고
    • Non-equidistant generalizations of the Gushchin-Shennikov scheme
    • R. Vulanović, Non-equidistant generalizations of the Gushchin-Shennikov scheme, Z. Angew. Math. Mech. 67 (1987) 625-632.
    • (1987) Z. Angew. Math. Mech. , vol.67 , pp. 625-632
    • Vulanović, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.