Invariant difference schemes for parabolic equations with transformations of independent variables

Mathematical Models and Methods in Applied Sciences

Volumn 9, Issue 1, 1999, Pages 93-110

  Samarskii, A A ^a   Mazhukin, V I ^a   Matus, P P ^b   Rychagov, V G ^b   Smurov, I ^c  

^a INSTITUTE OF MATHEMATICAL MODELING   (Russian Federation)

^b INSTITUTE OF MATHEMATICS   (Belarus)

^c UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033478197     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202599000075     Document Type: Article

References (23)

1. J. E. Thompson, Z. U. A. Warsi and C. W. Mastin, J. Comput. Phys. 47 (1982) 1-108.
2. J. U. Brackbill and J. S. Saltzman, J. Comput. Phys. 46 (1982) 342-368.
3. H. Zhang and K. Moalemi, Num. Heat Transfer. Part B27 (1995) 255-276.
4. M. Vinokur, J. Comput. Phys. 50 (1983) 215-234.
5. A. J. Wathen, J. Comput. Phys. 101 (1992) 51-54.
6. R. G. Hindman, P. Kutler and D. Anderson, AIAA J. 19 (1981) 424-431.
7. K. Nakahaschi and G. S. Deiwert, AIAA J. 25 (1987) 513-520.
8. R. Richtmyer and K. Morton, Difference Methods for Initial-Value Problems (Wiley, 1967).
9. A. A. Samarskii and U. P. Popov, Difference Methods for Problems of Gas Dynamics (Nauka, 1992) (in Russian).
10. S. K. Godunov, A. V. Zabrodin, M. Ya. Ivanov, A. N. Kraiko and G. P. Prokopov, Numerical Methods for Multi-Dimensional Problems of Gas Dynamics (Moscow, 1976).
11. N. A. Dar'in and V. I. Mazhukin, Dokl. Akad. Nauk SSSR 298 (1988) 64-68.
12. V. F. Vasilevskii and V. I. Mazhukin, Different Urav. 25 (1989) 1188-1193.
13. V. I. Mazhukin, A. A. Samarskii, O. Costelianos and A. V. Shapranov, Math. Model. 5 (1993) 32-56.
14. N. A. Dar'in, V. I. Mazhukin and A. A. Samarskii, Dokl. Akad. Nauk SSSR 302 (1988) 1078-1081.
15. P. V. Breslavskii and V. I. Mazhukin, Math. Model. 7 (1995) 48-78.
16. N. A. Dar'in and V. I. Mazhukin, Different Urav. 123 (1987) 1154-1160.
17. N. A. Dar'in and V. I. Mazhukin, Math. Model. 1 (1989) 29-43.
18. A. A. Samarskii, Theory of Difference Schemes (Nauka, 1977) (in Russian).
19. A. A. Samarskii and A. V. Gulin, Stability of Difference Schemes (Nauka, 1973) (in Russian).
20. A. A. Samarskii, P. N. Vabishchevich and P. P. Matus, Different. Urav. 32 (1996) 265-274.
21. P. N. Vabishchevich and P. P. Matus, Dokl. Akad. Nauk Belarusi 37 (1993) 15-17.
22. A. A. Samarskii, V. I. Mazhukin, P. P. Matus and M. M. Chuiko, Different. Urav. 32 (1997) 1-10.
23. A. A. Samarskii, V. I. Mazhukin and P. P. Matus, Dokl. RAN 352 (1997) 602-605.