Skvortsov Leonid Markovich

Publications in Math-Net.Ru

1. Estimating the spectral radius of the Jacobian matrix in explicit stabilized Runge–Kutta methods
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:11 (2025),  1800–1812
2. Generalizations of the stage order of Runge–Kutta methods
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:12 (2024),  2286–2302
3. Third- and fourth-order ESDIRK methods for stiff and differential-algebraic problems
   
   Zh. Vychisl. Mat. Mat. Fiz., 62:5 (2022),  790–808
4. Construction and analysis of explicit adaptive one-step methods for solving stiff problems
   
   Zh. Vychisl. Mat. Mat. Fiz., 60:7 (2020),  1111–1125
5. Implicit Runge–Kutta methods with explicit internal stages
   
   Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018),  326–339
6. On implicit Runge–Kutta methods received as a result of inversion of explicit methods
   
   Mat. Model., 29:1 (2017),  3–19
7. How to avoid accuracy and order reduction in Runge–Kutta methods as applied to stiff problems
   
   Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017),  1126–1141
8. Synthesis of simple robust controllers
   
   Avtomat. i Telemekh., 2015, no. 9,  102–114
9. MVTU software package in the scientific research and applied developments
   
   Mat. Model., 27:11 (2015),  32–46
10. A fifth order implicit method for the numerical solution of differential-algebraic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015),  978–984
11. Efficient implementation of diagonally implicit Runge–Kutta methods
    
    Mat. Model., 26:1 (2014),  96–108
12. Singly implicit diagonally extended Runge–Kutta methods of fourth order
    
    Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014),  755–765
13. Efficient implementation of second order implicit Runge–Kutta methods
    
    Mat. Model., 25:5 (2013),  15–28
14. Runge–Kutta collocation methods for differential-algebraic equations of indices 2 and 3
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:10 (2012),  1801–1811
15. Explicit adaptive Runge–Kutta methods
    
    Mat. Model., 23:7 (2011),  73–87
16. Simple technique for constructing stability polynomials for explicit stabilized Runge–Kutta methods
    
    Mat. Model., 23:1 (2011),  81–86
17. Explicit adaptive Runge–Kutta methods for stiff and oscillation problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:8 (2011),  1434–1448
18. Explicit stabilized Runge–Kutta methods
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:7 (2011),  1236–1250
19. Model equations for accuracy investigation of Runge–Kutta methods
    
    Mat. Model., 22:5 (2010),  146–160
20. Explicit multistep methods with extended stability domains
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:9 (2010),  1539–1549
21. Diagonally implicit Runge-Kutta methods for differential-algebraic equations of indices 2 and 3
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:6 (2010),  1047–1059
22. Explicit two-step Runge–Kutta methods
    
    Mat. Model., 21:9 (2009),  54–65
23. A simple technique for constructing two-step Runge–Kutta methods
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:11 (2009),  1920–1930
24. The interpolation properties of Runge–Kutta methods
    
    Mat. Model., 20:12 (2008),  119–128
25. Explicit multistep methods for the numerical solution of stiff ordinary differential equations
    
    Num. Meth. Prog., 9:4 (2008),  409–418
26. Simple explicit methods for the numerical solution of stiff ordinary differential equations
    
    Num. Meth. Prog., 9:2 (2008),  154–162
27. An efficient scheme for the implementation of implicit Runge–Kutta methods
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008),  2008–2018
28. Explicit multistep method for the numerical solution of stiff differential equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 47:6 (2007),  959–967
29. Diagonally implicit Runge–Kutta methods for stiff problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 46:12 (2006),  2209–2222
30. Explicit Runge–Kutta methods for moderately stiff problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005),  2017–2030
31. Accuracy of the Runge–Kutta methods for stiff problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:9 (2003),  1374–1384
32. Diagonally implicit Runge–Kutta FSAL methods for stiff and differential-algebraic systems
    
    Mat. Model., 14:2 (2002),  3–17
33. Explicit adaptive methods for numerical solution of stiff systems
    
    Mat. Model., 12:12 (2000),  97–107