Shirkov Petr Dmitrievich

Publications in Math-Net.Ru

1. Constructing of linearly implicit schemes which are $LN$-equivalent to implicit Runge–Kutta methods
   
   Computer Research and Modeling, 4:3 (2012),  483–496
2. Numerical study of one-step lineary implicit methods which are L-equivalent to stiffly accurate two-stages Runge–Kutta schemes
   
   Mat. Model., 24:12 (2012),  129–136
3. Stability of ROW methods for non autonomous systems of ordinary differential equations
   
   Mat. Model., 24:5 (2012),  97–111
4. One-stage Rosenbrock method with complex coefficients and automatic time step evaluation
   
   Mat. Model., 23:3 (2011),  127–138
5. Two-stage single ROW methods with complex coefficients for autonomous systems of ODE
   
   Computer Research and Modeling, 2:1 (2010),  19–32
6. Algorithms of smoothing of surfaces defined on irregular spaced data sets
   
   Mat. Model., 21:6 (2009),  69–78
7. AN-stability of ROW methods
   
   Keldysh Institute preprints, 2001, 016
8. $L$-stable $ROW$-methods with exact estimation of truncation error
   
   Mat. Model., 13:8 (2001),  35–43
9. Simulation and education
   
   Mat. Model., 11:5 (1999),  101–116
10. $L$-decremented ROW method of third-order accuracy
    
    Zh. Vychisl. Mat. Mat. Fiz., 37:6 (1997),  699–710
11. Optimum $L$-decremented rosebrock schemes with complex coefficients for stiff ODE
    
    Mat. Model., 4:8 (1992),  47–57
12. Numerical methods for problems of chemical kinetics with diffusion
    
    Mat. Model., 4:1 (1992),  98–110
13. $L$-stability of diagonally implicit Runge-Kutta schemes and Rosenbrock methods
    
    Zh. Vychisl. Mat. Mat. Fiz., 32:9 (1992),  1422–1432
14. Numerical methods of calculations for chemical and ionic equilibrium
    
    Mat. Model., 3:6 (1991),  42–60
15. Difference schemes for nonautonomous stiff systems of ordinary differential equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:1 (1987),  131–135
16. Accuracy of monotone schemes for stiff systems of differential equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 24:10 (1984),  1577–1581
17. Approximate and numerical methods for calculating the composition of an equilibrium plasma
    
    Zh. Vychisl. Mat. Mat. Fiz., 24:9 (1984),  1372–1380
18. Functional properties of stable difference schemes
    
    Zh. Vychisl. Mat. Mat. Fiz., 24:3 (1984),  363–373


19. 4-е Всесоюзное совещание по физико-химическим свойствам вещества (ФХСВ-4)
    
    Mat. Model., 2:9 (1990),  155