Discrete approximations for singularly perturbed boundary value problems with parabolic layers, II

Journal of Computational Mathematics

Volumn 14, Issue 2, 1996, Pages 183-194

  Farrell, P A ^a   Hemker, P W ^b   Shishkin, G I ^c  

^a KENT STATE UNIVERSITY   (United States)

^b CWI   (Netherlands)

^c INSTITUTE OF MATHEMATICS AND MECHANICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000392267     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

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2. P.W. Hemker and G.I. Shishkin, Discrete approximation of singularly perturbed parabolic PDEs with a discontinuous initial condition. In J.J.H. Miller, ed., BAIL VI Proceedings, Boole Press, 3-4, 1992.
3. P.W. Hemker and G.I. Shishkin, Approximation of parabolic PDEs with a discontinuous initial condition. East-West Journal of Numerical mathematics, 1:4 (1993), 287-302.
4. P.W. Hemker and G.I. Shishkin, Discrete approximation of singularly perturbed parabolic pdes with a discontinuous initial condition. Computational Fluid Dynamics Journal, 2 (1994), 375-392.
5. 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 D. Bainov and V. Covachev, eds., Proceeding's of the Second International Colloquium on Numerical Analysis, VSP, International Science Publishers, 83-02, 1994. Proceedings of the "Second International Colloquium on Numerical Analysis", August 13-17, 1993.
6. G.I. Marchuk, Methods of Numerical Mathematics. Springer, New York, 1982.
7. A.A. Samarski, Theory of Difference Scheme. Nauka, Moscow, 1989. (in Russian).
8. G.I. Shishkin, An increase in accuracy of solutions to difference scheme for parabolic equations with small parameters at highest-order derivatives. Zh. Vychisl. Mat. Mat. Fiz., 24 (1984), 864-875, (in Russian).
9. G.I. Shishkin, Approximation of solutions to singularly perturbed boundary value problems with corner boundary layers, Doklady Akad. Nauk SSSR., 296 (1987), 39-43, (in Russian).
10. G.I. Shishkin, Approximation of solutions to singularly perturbed boundary value problems with corner boundary layers, Zh. Vychisl. Mat. Mat. Fiz., 27 (1987), 1360-1374, (in Russian).
11. G.I. Shishkin, Approximation of solutions to singularly perturbed boundary value problems with parabolic boundary layers, Zh. Vychisl. Mat. Mat. Fiz., 29 (1989), 963-977, (in Russian).
12. G.I. Shishkin, Grid approximation of singularly perturbed elliptic equation in domain with characteristic bounds, Sov. J. Numer. Anal. Math. Modelling., 5 (1990), 327-343.
13. G.I. Shishkin, Grid Approximation of Singularly Perturbed Elliptic and Parabolic Equations, Ur. O. RAN, Ekaterinburg, 1992, (in Russian).