Novikov Evgenii Aleksandrovich

Publications in Math-Net.Ru

1. Stability domains of explicit multistep methods
   
   Sib. Zh. Vychisl. Mat., 25:4 (2022),  417–428
2. $(m, k)$-schemes for stiff systems of ODEs and DAEs
   
   Sib. Zh. Vychisl. Mat., 23:1 (2020),  39–51
3. An algorithm of variable structure based on three-stage explicit-implicit methods
   
   Sib. Èlektron. Mat. Izv., 14 (2017),  433–442
4. Application of explicit methods with extended stability regions for solving stiff problems
   
   J. Sib. Fed. Univ. Math. Phys., 9:2 (2016),  209–219
5. A variable structure algorithm using the (3,2)-scheme and the Fehlberg method
   
   Num. Meth. Prog., 16:3 (2015),  446–455
6. Numerical modelling of the ring modulator by the method for implicit systems solution
   
   University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 4,  17–27
7. Algorithm variable order, step and the configuration variables for solving stiff problems
   
   Izv. Saratov Univ. Math. Mech. Inform., 13:3 (2013),  35–43
8. The integration algorithm using the $L$-stable and explicit methods
   
   University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 3,  58–69
9. An integration algorithm using the methods of Rosenbrock and Ceschino
   
   Num. Meth. Prog., 14:2 (2013),  254–261
10. Algorithm of integrating stiff problems using the explicit and implicit methods
    
    Izv. Saratov Univ. Math. Mech. Inform., 12:4 (2012),  19–27
11. Heterogeneous integration algorithm of based three-stages methods
    
    Program Systems: Theory and Applications, 3:5 (2012),  59–69
12. A third-order numerical method for solving nonautonomous additive stiff problems
    
    Num. Meth. Prog., 13:4 (2012),  479–490
13. Variable order and step algorithm based on a stages of Runge–Kutta method of third order of accuracy
    
    Izv. Saratov Univ. Math. Mech. Inform., 11:3(1) (2011),  46–53
14. The global error of one-step solution methods for stiff problems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 6,  80–89
15. Parallel algorithm explicit Euler method with accuracy control
    
    J. Sib. Fed. Univ. Math. Phys., 4:1 (2011),  70–76
16. Maximal order of accuracy of $(m, 1)$-methods for solving stiff problems
    
    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(24) (2011),  100–107
17. L-stable (4,2)-method of the fourth order for solving stiff problems
    
    Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 8(89),  59–68
18. Approximation of the Jacobian matrix in $(m,2)$-methods for solving stiff problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011),  2194–2208
19. Numerical simulation of ethane pyrolysis by an explicit method of the third order of accuracy
    
    University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 4,  64–72
20. Numerical integration of stiff systems with low accuracy
    
    Mat. Model., 22:1 (2010),  46–56
21. An additive third order method for solving rigid nonautonomous problems
    
    Sib. Zh. Ind. Mat., 13:1 (2010),  84–94
22. Numerical modeling of a modified oregonator by the (2,1)-method for solving stiff problems
    
    Num. Meth. Prog., 11:3 (2010),  281–288
23. Construction of stability domains for explicit Runge-Kutta methods
    
    Num. Meth. Prog., 10:2 (2009),  248–257
24. Approximation of the Jacobi matrix in $(m,3)$-methods of solving stiff systems
    
    Sib. Zh. Vychisl. Mat., 11:3 (2008),  283–295
25. A non-homogeneous method of third order for additive stiff systems
    
    Mat. Model., 19:6 (2007),  61–70
26. Control of the stability of the Dormand-Prince method
    
    Sib. Zh. Ind. Mat., 10:4 (2007),  95–103
27. Six-stages method of order 3 for the solution of additive stiff systems
    
    Sib. Zh. Vychisl. Mat., 10:3 (2007),  307–316
28. Variable order and step integrating algorithm based on the explicit two-stage Runge–Kutta method
    
    Sib. Zh. Vychisl. Mat., 10:2 (2007),  177–185
29. An algorithm of variable order and step based on stages of the Dormand-Prince method of the eighth order of accuracy
    
    Num. Meth. Prog., 8:4 (2007),  317–325
30. The class of $(m,k)$-methods for solving implicit systems
    
    Dokl. Akad. Nauk, 348:4 (1996),  442–445
31. An estimate for the global error of $A$-stable methods for solving stiff systems
    
    Dokl. Akad. Nauk, 343:4 (1995),  452–455
32. Kinetics of explosive processes
    
    Fizika Goreniya i Vzryva, 26:4 (1990),  85–93
33. On a class of $(m,k)$-methods for solving stiff systems
    
    Zh. Vychisl. Mat. Mat. Fiz., 29:2 (1989),  194–201
34. One-step noniterative methods for solving stiff systems
    
    Dokl. Akad. Nauk SSSR, 301:6 (1988),  1310–1314
35. Explicit first-order Runge–Kutta methods with a given stability interval
    
    Zh. Vychisl. Mat. Mat. Fiz., 28:4 (1988),  603–607
36. Some methods for solving ordinary differential equations that are not solved with respect to the derivative
    
    Dokl. Akad. Nauk SSSR, 295:4 (1987),  809–812
37. Freezing of the Jacobi matrix in a second order Rosenbrock method
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:3 (1987),  385–390
38. Raising the efficiency of algorithms for the integration of ordinary differential equations at the expense of loss of stability
    
    Zh. Vychisl. Mat. Mat. Fiz., 25:7 (1985),  1023–1030
39. Construction of an algorithm for integration of stiff differential equations on nonuniform schemes
    
    Dokl. Akad. Nauk SSSR, 278:2 (1984),  272–275
40. Control of the stability of explicit one-step methods of integration of ordinary differential equations
    
    Dokl. Akad. Nauk SSSR, 277:5 (1984),  1058–1062