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Publications in Math-Net.Ru |
Citations |
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2014 |
| 1. |
V. A. Dorodnitsyn, E. I. Kaptsov, “Invariant difference schemes for second order ordinary differential equations possessing symmetries”, Keldysh Institute preprints, 2014, 016, 42 pp.  |
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2013 |
| 2. |
V. A. Dorodnitsyn, E. I. Kaptsov, “Discretization of second-order ordinary differential equations with symmetries”, Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013), 1329–1355   ; Comput. Math. Math. Phys., 53:8 (2013), 1153–1178   |
9
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2012 |
| 3. |
V. A. Dorodnitsyn, “The non-autonomous dynamical systems and exact solutions with superposition principle for evolutionary PDEs”, Ufimsk. Mat. Zh., 4:4 (2012), 186–195 |
3
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2006 |
| 4. |
Vladimir Dorodnitsyn, “On the Linearization of Second-Order Differential and Difference Equations”, SIGMA, 2 (2006), 065, 15 pp.  |
5
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1996 |
| 5. |
M. I. Bakirova, V. A. Dorodnitsin, R. V. Kozlov, “Invariant Difference Models for the Heat Transfer Equation with a Source”, Keldysh Institute preprints, 1996, 020 |
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1995 |
| 6. |
M. I. Bakirova, V. A. Dorodnitsin, R. V. Kozlov, “Invariant Finite-Difference Schemes for Burgers and Heat Transfer Equations”, Keldysh Institute preprints, 1995, 003 |
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1994 |
| 7. |
M. I. Bakirova, V. A. Dorodnitsyn, “An invariant difference model for the equation $u_t=u_{xx}+\delta u\ln u$”, Differ. Uravn., 30:10 (1994), 1697–1702 ; Differ. Equ., 30:10 (1994), 1565–1570 |
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1993 |
| 8. |
V. A. Dorodnitsyn, “A finite-difference analogue of Noether's theorem”, Dokl. Akad. Nauk, 328:6 (1993), 678–682 ; Dokl. Math., 38:2 (1993), 66–68 |
6
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1989 |
| 9. |
V. A. Dorodnitsyn, “Transformation groups in difference spaces”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 34 (1989), 149–191 ; J. Soviet Math., 55:1 (1991), 1490–1517 |
86
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1988 |
| 10. |
M. I. Bakirova, S. N. Dimova, V. A. Dorodnitsyn, S. P. Kurdyumov, A. A. Samarskii, S. R. Svirshchevskii, “Invariant solutions of the heat equation that describe the
directed propagation of combustion and spiral waves in a nonlinear
medium”, Dokl. Akad. Nauk SSSR, 299:2 (1988), 346–350 ; Dokl. Math., 33:3 (1988), 187–189 |
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1986 |
| 11. |
V. A. Galaktionov, V. A. Dorodnitsyn, G. G. Yelenin, S. P. Kurdyumov, A. A. Samarskii, “A quasilinear equation of heat conduction with a source: peaking, localization, symmetry, exact solutions, asymptotic behavior, structures”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 28 (1986), 95–205 ; J. Soviet Math., 41:5 (1988), 1222–1292 |
89
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1983 |
| 12. |
V. A. Dorodnitsyn, I. V. Knyazeva, S. R. Svirshchevskii, “Group properties of the heat equation with source in the two-dimensional and three-dimensional cases”, Differ. Uravn., 19:7 (1983), 1215–1223 |
11
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1982 |
| 13. |
V. A. Dorodnitsyn, “On invariant solutions of the equation of non-linear heat conduction with a source”, Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982), 1393–1400 ; U.S.S.R. Comput. Math. Math. Phys., 22:6 (1982), 115–122 |
72
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1974 |
| 14. |
A. A. Samarskii, V. A. Dorodnitsyn, S. P. Kurdyumov, Yu. P. Popov, “Formation of $T$-layers in the process of plasma deceleration by a magnetic field”, Dokl. Akad. Nauk SSSR, 216:6 (1974), 1254–1257 |
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1973 |
| 15. |
V. A. Dorodnitsyn, Yu. P. Popov, “The stationary modes of a heavy-current, self-constricting radiating discharge in a plasma”, Zh. Vychisl. Mat. Mat. Fiz., 13:1 (1973), 247–253 ; U.S.S.R. Comput. Math. Math. Phys., 13:1 (1973), 328–337 |
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2005 |
| 16. |
Yu. S. Osipov, V. V. Kozlov, E. P. Velikhov, V. S. Stepin, O. M. Belotserkovskii, A. A. Petrov, Yu. P. Popov, È. L. Akim, A. V. Zabrodin, D. A. Koryagin, G. G. Malinetskii, G. K. Borovin, D. P. Kostomarov, B. N. Chetverushkin, S. P. Kapitza, V. A. Dorodnitsyn, G. G. Yelenin, N. V. Zmitrenko, E. N. Knyazeva, E. S. Kurkina, A. P. Mikhailov, G. Yu. Riznichenko, V. L. Romanov, “Sergei Pavlovich Kurdyumov (1928–2004)”, Zh. Vychisl. Mat. Mat. Fiz., 45:5 (2005), 941–944 ; Comput. Math. Math. Phys., 45:5 (2005), 909–911 |
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