Dorodnitsyn Vladimir Anatol'evich

Publications in Math-Net.Ru

1. Invariant difference schemes for second order ordinary differential equations possessing symmetries
   
   Keldysh Institute preprints, 2014, 016, 42 pp.
2. Discretization of second-order ordinary differential equations with symmetries
   
   Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013),  1329–1355
3. The non-autonomous dynamical systems and exact solutions with superposition principle for evolutionary PDEs
   
   Ufimsk. Mat. Zh., 4:4 (2012),  186–195
4. On the Linearization of Second-Order Differential and Difference Equations
   
   SIGMA, 2 (2006), 065, 15 pp.
5. Invariant Difference Models for the Heat Transfer Equation with a Source
   
   Keldysh Institute preprints, 1996, 020
6. Invariant Finite-Difference Schemes for Burgers and Heat Transfer Equations
   
   Keldysh Institute preprints, 1995, 003
7. An invariant difference model for the equation $u_t=u_{xx}+\delta u\ln u$
   
   Differ. Uravn., 30:10 (1994),  1697–1702
8. A finite-difference analogue of Noether's theorem
   
   Dokl. Akad. Nauk, 328:6 (1993),  678–682
9. Transformation groups in difference spaces
   
   Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 34 (1989),  149–191
10. 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
11. 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
12. Group properties of the heat equation with source in the two-dimensional and three-dimensional cases
    
    Differ. Uravn., 19:7 (1983),  1215–1223
13. On invariant solutions of the equation of non-linear heat conduction with a source
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982),  1393–1400
14. Formation of $T$-layers in the process of plasma deceleration by a magnetic field
    
    Dokl. Akad. Nauk SSSR, 216:6 (1974),  1254–1257
15. The stationary modes of a heavy-current, self-constricting radiating discharge in a plasma
    
    Zh. Vychisl. Mat. Mat. Fiz., 13:1 (1973),  247–253


16. Sergei Pavlovich Kurdyumov (1928–2004)
    
    Zh. Vychisl. Mat. Mat. Fiz., 45:5 (2005),  941–944