Finite-difference methods for problem of conjugation of hyperbolic and parabolic equations

Mathematical Models and Methods in Applied Sciences

Volumn 10, Issue 3, 2000, Pages 361-377

  Samarskii, Alexander A ^a   Korzyuk, Victor I ^b   Lemeshevsky, Sergey V ^c   Matus, Petr P ^c  

^a INSTITUTE OF MATHEMATICAL MODELING   (Russian Federation)

^b BELARUSIAN STATE UNIVERSITY   (Belarus)

^c INSTITUTE OF MATHEMATICS   (Belarus)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034394104     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202500000227     Document Type: Article

References (13)

1. V. I. Korzyuk, Problem about conjugation of equations of hyperbolic and parabolic types, Differents Uravneniya 4 (1968) 1855-1866, in Russian.
2. V. I. Korzyuk, Mixed problem for some non-stationary equations with discontinuous coefficients, Differents Urameniya 6 (1970) 343-357, in Russian.
3. V. I. Korzyuk, Friederichs lemma for everaging operators with variable step, Vestnik Belgosuniversiteta. Ser. 1. Fizika, Mat. Infor. 2 (1996) 32-36, in Russian.
4. V. I. Korzyuk, The method of energy inequalities and everaging operators, Vestnik Belgosuniversiteta. Ser. 1. Fizika, Mat. Infor. 3 (1996) 55-71, in Russian.
5. V. I. Korzyuk, Boundary value problem for the third order Mangeron's equation, Differents Uravneniya 33 (1997) 1683-1690, in Russian.
6. S. V. Lemeshevsky, Computational methods for the conjugation problem of hyperbolic and parabolic equations, in Proc. of the Second Int. Conf. on Finite-Difference Methods: Theory and Application, Minsk, July 6-9, 1998, Vol. 2, pp. 99-102.
7. E. G. Sakhanovsky and Ya. S. Uflyand, Influence of conductivity anisotropy on unsteady motion of conducting gas in plane channel, Prikl. Mat. Mekh. 26 (1962) 542-547, in Russian.
8. A. A. Samarskii, Theory of Difference Schemes (Nauka, 1977), in Russian.
9. A. A. Samarskii and V. B. Andreev, Difference Methods for Elliptic Equations (Nauka, 1976), in Russian.
10. A. A. Samarskii and A. V. Goolin, Stability of Difference Schemes (Nauka, 1973), in Russian.
11. A. A. Samarskii, P. N. Vabishchevich, S. V. Lemeshevsky and P. P. Matus, Difference schemes for conjugation problem of hyperbolic and parabolic equations, Sib. Mat. Z. 39 (1998) 954-962, in Russian.
12. Ya. S. Uflyand, To reference about oscillations spreading in composite electric lines, Inzh.-Fiz. Z. 7 (1961) 89-92, in Russian.
13. Ya. S. Uflyand and I. B. Chekmariov, Investigation of unsteady flow of conducting fluid in plain channel with moving boundary, Z. Tekh. Fiz. 30 (1960) 465-471, in Russian.