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

Journal of Computational Mathematics

Volumn 14, Issue 3, 1996, Pages 273-290

  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: 0000517998     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. P.W. Hemker and G.I. Shishkin, Discrete approximation of singularly perturbed parabolic PDEs with a discontinuous initial condition, In J.J.H. Miller, editor, BAIL VI Proceedings, 3-4, Boole Press, 1992.
2. 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.
3. 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.
4. 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, editors, Proceedings of the Second International Colloquium on Numerical Analysis, 83-92. VSP, International Science Publishers, 1994.
5. Proceedings of the Second International Colloquium on Numerical Analysis, 13-17, 1993.
6. A. V. Lykov, Heat and Mass Transfer, Energia, 1978. (in Russian).
7. G.I. Marchuk, Methods of Numerical Mathematics, Springer, New York, 1982.
8. A.A. Samarski, Theory of Difference Scheme, Nauka, Moscow, 1989. (in Russian).
9. G. I. Shishkin, A difference scheme for a singularly perturbed equation of parabolic type with discontinuous boundary conditions, J. Vychisl. Mat. i Mat. Fis., 28(1988), 1649-1662. (in Russian).
10. G. I. Shishkin, A difference scheme for a singularly perturbed equation of parabolic type with discontinuous initial conditions, Dokl. Akad. Nauka., 300(1988), 1066-1070. (in Russian).