Acceleration of the process of the numerical solution to singularly perturbed boundary value problems for parabolic equations on the basis of parallel computations

Russian Journal of Numerical Analysis and Mathematical Modelling

Volumn 12, Issue 3, 1997, Pages 271-291

  Shishkin, G I ^a  

^a INSTITUTE OF MATHEMATICS AND MECHANICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004690479     PISSN: 09276467     EISSN: None     Source Type: Journal    
DOI: 10.1515/rnam.1997.12.3.271     Document Type: Article

References (13)

1. A. Freedman, Partial Differential Equations of a Parabolic Type. Mir, Moscow, 1968 (in Russian).
2. S. K. Godunov, Equations of Mathematical Physics. Nauka, Moscow, 1979 (in Russian).
3. A. M. Il'in, A. S. Kalashnikov, and O. A. Oleinik, Linear second-order equations of a parabolic type. Uspekhi Mat. Nauk (1962) 17, No. 3, 3 -146 (in Russian).
4. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Uraltseva, Linear and Quasilinear Equations of a Parabolic Type. Nauka, Moscow, 1967 (in Russian).
5. G. I. Marchuk, Methods of Computational Mathematics. Nauka, Moscow, 1980 (in Russian).
6. A. A. Samarskii, Theory of Difference Schemes. Nauka, Moscow, 1977 (in Russian).
7. G. I. Shishkin, Approximation of the solutions of singularly perturbed boundary value problems with angular boundary layer. Zh. Vychisl. Mat. Mat. Fiz. (1987) 27, No. 9, 1360-1374 (in Russian).
8. G. I. Shishkin, Approximation of the solutions of singularly perturbed boundary value problems with angular boundary layer. Dokl. Akad. Nauk SSSR (1987) 296, No. 1, 39-43 (in Russian).
9. G. I. Shishkin, Grid approximation of singularly perturbed elliptic equations with discontinuous boundary conditions. Sov. J. Numer. Anal. Math. Modelling (1989) 4, No. 5, 397-417.
10. G. I. Shishkin, Grid approximation of singularly perturbed elliptic equations in the domain with characteristic bounds. Sov. J. Numer. Anal. Math. Modelling (1990) 5, No. 4, 327-343.
11. G. I. Shishkin, Grid approximation of singularly perturbed parabolic equations degenerating at the boundary. Zh. Vychisl. Mat. Mat. Fiz. (1991) 31, No. 10, 1498-1511 (in Russian).
12. G. I. Shishkin, Grid approximation of certain singularly perturbed problems of convective transfer with diffusion. Sov. J. Numer. Anal. Math. Modelling (1991) 6, No. 5, 395-420.
13. E. A. Volkov, On the method of regular composite grids for the Laplace equations on polygons. Trudy Mat. Inst. Akad. Nauk. SSSR (1976) 140, 68-102 (in Russian).