Kulikov Gennady Yur'evich

Publications in Math-Net.Ru

1. Nested implicit Runge–Kutta pairs of Gauss and Lobatto types with local and global error controls for stiff ordinary differential equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 60:7 (2020),  1170–1192
2. Embedded symmetric nested implicit Runge–Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems
   
   Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015),  986–1007
3. Efficient error control in numerical integration of ordinary differential equations and optimal interpolating variable-stepsize peer methods
   
   Zh. Vychisl. Mat. Mat. Fiz., 54:4 (2014),  591–607
4. Solving the order reduction phenomenon in variable step size quasi-consistent Nordsieck methods
   
   Zh. Vychisl. Mat. Mat. Fiz., 52:11 (2012),  2004–2022
5. On the global error control in nested implicit Runge–Kutta methods of Gauss type
   
   Sib. Zh. Vychisl. Mat., 14:3 (2011),  245–259
6. On the automatic control of step size and order in one-step collocation methods with higher derivatives
   
   Zh. Vychisl. Mat. Mat. Fiz., 50:6 (2010),  1060–1077
7. Automatic step size and order control in implicit one-step extrapolation methods
   
   Zh. Vychisl. Mat. Mat. Fiz., 48:9 (2008),  1580–1606
8. Automatic step size and order control in explicit one-step extrapolation methods
   
   Zh. Vychisl. Mat. Mat. Fiz., 48:8 (2008),  1392–1405
9. On one-step collocation methods with higher derivatives for solving ordinary differential equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 44:10 (2004),  1782–1807
10. On multistep methods of the interpolation type with an automated checking of the global error
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:8 (2004),  1388–1409
11. On the efficient computation of asymptotically sharp estimates for local and global errors in multistep methods with constant coefficients
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:5 (2004),  840–861
12. Implicit extrapolational methods for systems of differential-algebraic equations
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 5,  3–7
13. On numerical solution of large-scale systems of index 1 differential-algebraic equations
    
    Fundam. Prikl. Mat., 7:4 (2001),  1047–1080
14. On using Newton-type iterative methods for solving systems of differential-algebraic equations of index 1
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:8 (2001),  1180–1189
15. On symmetry of some Runge–Kutta methods
    
    Fundam. Prikl. Mat., 6:4 (2000),  1131–1140
16. A technique for controlling the global error in multistep methods
    
    Zh. Vychisl. Mat. Mat. Fiz., 40:9 (2000),  1308–1329
17. On pseudodiagonally optimal Runge-Kutta simple iteration methods for systems of differential-algebraic equations of index $1$
    
    Zh. Vychisl. Mat. Mat. Fiz., 40:7 (2000),  1071–1089
18. Asymptotic error estimates for the method of simple iteration and for the modified and generalized Newton methods
    
    Mat. Zametki, 63:4 (1998),  562–571
19. A method of error analysis for Runge–Kutta methods
    
    Zh. Vychisl. Mat. Mat. Fiz., 38:10 (1998),  1651–1653
20. Numerical solution of the Cauchy problem for a system of differential-algebraic equations with the use of implicit Runge–Kutta methods with a nontrivial predictor
    
    Zh. Vychisl. Mat. Mat. Fiz., 38:1 (1998),  68–84
21. On the numerical solution of the Cauchy problem for a system of differential-algebraic equations by means of implicit Runge–Kutta methods with a variable integration step
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1997, no. 5,  7–11
22. Convergence theorems for iterative Runge–Kutta methods with a constant integration step
    
    Zh. Vychisl. Mat. Mat. Fiz., 36:8 (1996),  73–89
23. Practical realization and efficiency of numerical methods for solving the Cauchy problem with an algebraic constraint
    
    Zh. Vychisl. Mat. Mat. Fiz., 34:11 (1994),  1617–1631
24. On the numerical solution of an autonomous Cauchy problem with an algebraic constraint on the phase variables (the nonsingular case)
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, no. 3,  10–14
25. The numerical solution of the autonomous Cauchy problem with algebraic constraints on the phase variables
    
    Zh. Vychisl. Mat. Mat. Fiz., 33:4 (1993),  522–540
26. A method for the numerical solution of the autonomous Cauchy problem with an algebraic restriction on the phase variables
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 1,  14–19