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Volumn 19, Issue 2, 1999, Pages 233-249

Uniform convergence analysis of an upwind finite-difference approximation of a convection-diffusion boundary value problem on an adaptive grid

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; DIFFUSION IN LIQUIDS; FINITE DIFFERENCE METHOD; HEAT CONVECTION; NUMBER THEORY;

EID: 0033112611     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/19.2.233     Document Type: Article
Times cited : (57)

References (17)
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    • DE BOOR, C. 1974 Good approximation by splines with variable knots II. Lecture Notes in Mathematics 36, 12-20.
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    • De Boor, C.1
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    • 84966250007 scopus 로고
    • Graded-mesh difference schemes for singularly perturbed two-point boundary value problems
    • GARTLAND, E. G. 1988 Graded-mesh difference schemes for singularly perturbed two-point boundary value problems. Math. Comput. 51, 631-657.
    • (1988) Math. Comput. , vol.51 , pp. 631-657
    • Gartland, E.G.1
  • 8
    • 0000101872 scopus 로고
    • Differencing scheme for a differential equation with a small parameter affecting the highest derivative
    • IL'IN, A. M. 1969 Differencing scheme for a differential equation with a small parameter affecting the highest derivative. Mat. Zametki. 6, 237-248.
    • (1969) Mat. Zametki. , vol.6 , pp. 237-248
    • Il'In, A.M.1
  • 9
    • 84966216257 scopus 로고
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    • KELLOGG, R. B. & TSAN, A. 1978 Analysis of some difference approximations for a singular perturbation problem without turning points. Math. Comput. 32, 1025-1039.
    • (1978) Math. Comput. , vol.32 , pp. 1025-1039
    • Kellogg, R.B.1    Tsan, A.2
  • 11
    • 0001681157 scopus 로고
    • Mesh selection for discrete solution of boundary problems in ordinary differential equations
    • PEREYRA, V. & SEWELL, E. G. 1975 Mesh selection for discrete solution of boundary problems in ordinary differential equations. Numer. Math. 23, 261-268.
    • (1975) Numer. Math. , vol.23 , pp. 261-268
    • Pereyra, V.1    Sewell, E.G.2
  • 12
    • 85034180188 scopus 로고    scopus 로고
    • Analysis of difference approximations to a singularly perturbed two-point boundary value problem on an uneven grid
    • Technical Report No. 26, Strathclyde University Mathematics Department
    • QIU, Y. & SLOAN, D. M. 1996 Analysis of difference approximations to a singularly perturbed two-point boundary value problem on an uneven grid. Technical Report No. 26, Strathclyde University Mathematics Department. J. Comput. Appl. Math. To appear.
    • (1996) J. Comput. Appl. Math.
    • Qiu, Y.1    Sloan, D.M.2
  • 13
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.