Pimenov Vladimir Germanovich

Publications in Math-Net.Ru

1. Convergence of the high accuracy method for solving the nonlinear superdiffusion equation with functional delay
   
   Bulletin of Irkutsk State University. Series Mathematics, 52 (2025),  105–119
2. Asymptotics of a compact scheme for solving a superdiffusion equation with several variable delays
   
   Izv. IMI UdGU, 65 (2025),  54–71
3. Asymptotic expansion of the error of a numerical method for solving a superdiffusion equation with functional delay
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 30:2 (2024),  138–151
4. A compact scheme for solving a superdiffusion equationwith several variable delays
   
   Russian Universities Reports. Mathematics, 29:148 (2024),  440–454
5. Asymptotic expansion of the error of the numerical method for solving wave equation with functional delay
   
   Izv. IMI UdGU, 62 (2023),  71–86
6. Richardson Method for a Diffusion Equation with Functional Delay
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 29:2 (2023),  133–144
7. Numerical methods for systems of diffusion and superdiffusion equations with Neumann boundary conditions and with delay
   
   Dal'nevost. Mat. Zh., 22:2 (2022),  218–224
8. Numerical method for system of space-fractional equations of superdiffusion type with delay and Neumann boundary conditions
   
   Izv. IMI UdGU, 59 (2022),  41–54
9. Numerical method for fractional diffusion-wave equations with functional delay
   
   Izv. IMI UdGU, 57 (2021),  156–169
10. Crank-Nicolson scheme for two-dimensional in space fractional diffusion equations with functional delay
    
    Izv. IMI UdGU, 57 (2021),  128–141
11. Numerical solving of partial differential equations with heredity and nonlinearity in the differential operator
    
    Sib. Èlektron. Mat. Izv., 16 (2019),  1587–1599
12. Numerical method for fractional advection-diffusion equation with heredity
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132 (2017),  86–90
13. An implicit numerical method for the solution of the fractional advection-diffusion equation with delay
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  218–226
14. Fractional analog of crank-nicholson method for the two sided space fractional partial equation with functional delay
    
    Ural Math. J., 2:1 (2016),  48–57
15. One-step numerical methods for mixed functional differential equations
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015),  187–197
16. Grid methods of solving advection equations with delay
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2014, no. 3,  59–74
17. Numerical methods for solving the evolutionary equations with delay
    
    Izv. IMI UdGU, 2012, no. 1(39),  103–104
18. Numerical methods for solving a hereditary equation of hyperbolic type
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:2 (2012),  222–231
19. Difference schemes for the numerical solution of the heat conduction equation with aftereffect
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 17:1 (2011),  178–189
20. Difference schemes in modeling evolutionary control systems with delay
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  151–158
21. Convergence of the alternating direction method for the numerical solution of a heat conduction equation with delay
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010),  102–118
22. A semiexplicit method for numerical solution of functional differential algebraic equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 5,  62–67
23. Numerical methods of solution for heat equation with delay
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2,  113–116
24. Multistep numerical methods for functional-differential-algebraic equations
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 13:2 (2007),  145–155
25. Numerical methods for solving initial and boundary value problems for functional differential equations
    
    Izv. IMI UdGU, 2002, no. 2(25),  75–78
26. General Linear Methods for the Numerical Solution of Functional-Differential Equations
    
    Differ. Uravn., 37:1 (2001),  105–114
27. Application of $i$-smooth analysis to construction of numerical methods for solving functional-differential equations
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 5 (1998),  119–142
28. The concept of generalized controls for functional-differential systems
    
    Differ. Uravn., 31:6 (1995),  980–989
29. On the existence of generalized optimal controls in systems with delay in the control
    
    Differ. Uravn., 27:12 (1991),  2174–2176