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Volumn 12, Issue 6, 1996, Pages 657-671

Uniform Convergence of Discretization Error for a Singular Perturbation Problem

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EID: 0000667216     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2426(199611)12:6<657::AID-NUM2>3.0.CO;2-R     Document Type: Article
Times cited : (22)

References (16)
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    • Shishkin, G.I.1
  • 2
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    • Grid approximation of singularly perturbed boundary value problem for quasi-linear parabolic equations in the case of complete degeneracy in spatial variables
    • G. I. Shishkin, "Grid approximation of singularly perturbed boundary value problem for quasi-linear parabolic equations in the case of complete degeneracy in spatial variables," Sov. J. Numer. Anal. Math. Modelling 6, 243 (1991).
    • (1991) Sov. J. Numer. Anal. Math. Modelling , vol.6 , pp. 243
    • Shishkin, G.I.1
  • 3
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    • Methods of constructing grid approximations for singularly perturbed boundary-value problems
    • G. I. Shishkin, "Methods of constructing grid approximations for singularly perturbed boundary-value problems," Russ. J. Numer. Anal. Math. Modelling 7, 537 (1992).
    • (1992) Russ. J. Numer. Anal. Math. Modelling , vol.7 , pp. 537
    • Shishkin, G.I.1
  • 5
    • 0028410820 scopus 로고
    • Use of central-difference operators for solution of singularly perturbed problems
    • A. F. Hegarty, J. J. H. Miller, E. O'Riordan, and G. I. Shishkin, "Use of central-difference operators for solution of singularly perturbed problems," Comm. Num. Meth. Eng. 10, 297 (1994).
    • (1994) Comm. Num. Meth. Eng. , vol.10 , pp. 297
    • Hegarty, A.F.1    Miller, J.J.H.2    O'Riordan, E.3    Shishkin, G.I.4
  • 6
    • 0002694978 scopus 로고
    • Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers
    • A. F. Hegarty, J. J. H. Miller, E. O'Riordan, and G. I. Shishkin, "Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers," J. Comp. Phys. 117, 47 (1995).
    • (1995) J. Comp. Phys. , vol.117 , pp. 47
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  • 7
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    • Approximation of parabolic PDEs with a discontinuous initial condition
    • P. W. Hemker and G. I. Shishkin, "Approximation of parabolic PDEs with a discontinuous initial condition," East-West J. Numer. Math. 1, 1 (1993).
    • (1993) East-West J. Numer. Math. , vol.1 , pp. 1
    • Hemker, P.W.1    Shishkin, G.I.2
  • 8
    • 0002387165 scopus 로고
    • On a class of singularly perturbed boundary value problems for which an adaptive mesh technique is necessary
    • D. Bainov and V. Covachev, Eds., VSP International Science Publishers, Utrecht
    • P. W. Hemker and G. I. Shishkin, "On a class of singularly perturbed boundary value problems for which an adaptive mesh technique is necessary," in Proc. of the Second Int. Colloquium on Numerical Analysis, D. Bainov and V. Covachev, Eds., VSP International Science Publishers, Utrecht, p. 83, 1994.
    • (1994) Proc. of the Second Int. Colloquium on Numerical Analysis , pp. 83
    • Hemker, P.W.1    Shishkin, G.I.2
  • 9
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    • Discrete approximation of singularly perturbed parabolic PDEs with a discontinuous initial condition
    • P. W. Hemker and G. I. Shishkin, "Discrete approximation of singularly perturbed parabolic PDEs with a discontinuous initial condition," Comp. Fluid Dyn. J. 2, 375 (1994).
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    • Hemker, P.W.1    Shishkin, G.I.2
  • 10
    • 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, 89 (1995).
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  • 11
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    • Discrete approximations for singularly perturbed boundary value problems with parabolic layers I,II
    • P. A. Farrell, P. W. Hemker, and G. I. Shishkin, "Discrete approximations for singularly perturbed boundary value problems with parabolic layers I,II," J. Comp. Math. 14, 71, 183 (1996).
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.