On invariant solutions of the equation of nonlinear heat conduction with a source VA Dorodnitsyn Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki 22, 1393-1400, 1982 | 198 | 1982 |
Applications of Lie groups to difference equations V Dorodnitsyn CRC Press, 2010 | 161 | 2010 |
Transformation groups in net spaces VA Dorodnitsyn Journal of Soviet mathematics 55, 1490-1517, 1991 | 152* | 1991 |
Lie group classification of second-order ordinary difference equations V Dorodnitsyn, R Kozlov, P Winternitz Journal of mathematical physics 41 (1), 480-504, 2000 | 139 | 2000 |
A quasilinear heat equation with a source: peaking, localization, symmetry exact solutions, asymptotics, structures VA Galaktionov, VA Dorodnitsyn, GG Elenin, SP Kurdyumov, ... Journal of Soviet Mathematics 41, 1222-1292, 1988 | 120* | 1988 |
Noether-type theorems for difference equations V Dorodnitsyn Applied numerical mathematics 39 (3-4), 307-321, 2001 | 115 | 2001 |
Finite difference models entirely inheriting continuous symmetry of original differential equations VA Dorodnitsyn International Journal of Modern Physics C 5 (04), 723-734, 1994 | 110 | 1994 |
Continuous symmetries of Lagrangians and exact solutions of discrete equations V Dorodnitsyn, R Kozlov, P Winternitz Journal of Mathematical Physics 45 (1), 336-359, 2004 | 87 | 2004 |
Group properties of the heat equation with source in the two-dimensional and three-dimensional cases VA Dorodnitsyn, IV Knyazeva, SR Svirshchevskii Differentsial'nye Uravneniya 19 (7), 1215-1223, 1983 | 77 | 1983 |
Symmetry-adapted moving mesh schemes for the nonlinear Schrödinger equation C Budd, V Dorodnitsyn Journal of Physics A: Mathematical and General 34 (48), 10387, 2001 | 76 | 2001 |
A finite-difference analogue of Noether's theorem VA Dorodnitsyn Doklady Akademii Nauk 328 (6), 678-682, 1993 | 73 | 1993 |
Invariance and first integrals of continuous and discrete Hamiltonian equations V Dorodnitsyn, R Kozlov Journal of Engineering Mathematics 66, 253-270, 2010 | 67 | 2010 |
Lie point symmetry preserving discretizations for variable coefficient Korteweg–de Vries equations V Dorodnitsyn, P Winternitz Nonlinear Dynamics 22, 49-59, 2000 | 66 | 2000 |
Symmetry-preserving difference schemes for some heat transfer equations MI Bakirova, VA Dorodnitsyn, RV Kozlov Journal of Physics A: Mathematical and General 30 (23), 8139, 1997 | 63 | 1997 |
Group properties of difference equations VA Dorodnitsyn Moscow, Fizmatlit, 2001 | 60 | 2001 |
A heat transfer with a source: the complete set of invariant difference schemes V Dorodnitsyn, R Kozlov Journal of Nonlinear Mathematical Physics 10 (1), 16-50, 2003 | 53 | 2003 |
Quasilinear heat conduction equation with source: blow-up, localization, symmetry, exact solutions, asymptotics, structures VA Galaktionov, VA Dorodnitsyn, GG Elenin, SP Kurdyumov, ... Modern Mathematical Problems. New Achievements 28, 95-206, 1988 | 51 | 1988 |
Finite difference models entirely inheriting symmetry of original differential equations VA Dorodnitsyn Modern Group Analysis: Advanced Analytical and Computational Methods in …, 1993 | 45* | 1993 |
Групповые свойства уравнения теплопроводности с источником в двумерном и трехмерном случаях ВА Дородницын, ИВ Князева, СР Свирщевский Дифференциальные уравнения 19 (7), 1215-1223, 1983 | 45 | 1983 |
Lagrangian and Hamiltonian formalism for discrete equations: symmetries and first integrals VA Dorodnitsyn, R Kozlov Symmetries and integrability of difference equations 381, 7, 2011 | 39 | 2011 |