Gorbunov Aleksei Denisovich

Publications in Math-Net.Ru

1. On a criterion for the existence of fixed points of a continuous operator on a function space
   
   Dokl. Akad. Nauk SSSR, 227:4 (1976),  781–783
2. The solvability and convergence of methods of Adams type with an unstable operator
   
   Zh. Vychisl. Mat. Mat. Fiz., 16:2 (1976),  359–371
3. On the question of solvability of a two-point boundary-value problem for an ordinary differential equation
   
   Dokl. Akad. Nauk SSSR, 220:3 (1975),  516–519
4. Generalization of the method of contraction mappings
   
   Dokl. Akad. Nauk SSSR, 215:6 (1974),  1285–1288
5. Two economical methods for the numerical integration of ordinary differential equations, using a displaced grid
   
   Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  99–112
6. Methods of Adams type of the highest power
   
   Zh. Vychisl. Mat. Mat. Fiz., 12:2 (1972),  503–509
7. On a new approach to the construction and justification of methods of the Adams type
   
   Dokl. Akad. Nauk SSSR, 198:1 (1971),  23–26
8. Correctness and pseudo-correctness of problems
   
   Dokl. Akad. Nauk SSSR, 175:2 (1967),  269–271
9. On the continuity of mappings and translations
   
   Dokl. Akad. Nauk SSSR, 174:1 (1967),  13–15
10. On methods of Adams type for the approximate solution of the Cauchy problem for ordinary differential equations with time lag
    
    Zh. Vychisl. Mat. Mat. Fiz., 4:supplement to № 4 (1964),  135–148
11. On the approximate solution of Cauchy's problem for ordinary differential equations to a given number of correct figures. II
    
    Zh. Vychisl. Mat. Mat. Fiz., 4:3 (1964),  426–433
12. Estimates of the error of a Runge-Kutta method and the choice of optimal meshes
    
    Zh. Vychisl. Mat. Mat. Fiz., 4:2 (1964),  232–241
13. On the approximate solution of Cauchy's problem for ordinary differential equations to a given number of correct figures
    
    Zh. Vychisl. Mat. Mat. Fiz., 3:2 (1963),  239–253
14. On asymptotic estimates of the error in the Runge-Kutta type method
    
    Zh. Vychisl. Mat. Mat. Fiz., 3:1 (1963),  195–197
15. On the optimality of implicit difference schemes of Adams type
    
    Zh. Vychisl. Mat. Mat. Fiz., 2:5 (1962),  930–933
16. Asymptotic expansions of the error in the difference method of solving Cauchy's problem for systems of differential equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 2:4 (1962),  537–548
17. Multipoint difference methods for the solution of the Cauchy problem for the equation $y'=f(x,y)$
    
    Dokl. Akad. Nauk SSSR, 140:2 (1961),  291–294
18. The convergence of some finite-difference processes for equations $y'=f(x,y)$ and $y'(x)=f(x,y(x),y(x-\tau(x)))$
    
    Dokl. Akad. Nauk SSSR, 119:4 (1958),  644–647
19. Straight line method for solving a non-linear boundary problem in a region bounded by a curve
    
    Dokl. Akad. Nauk SSSR, 118:5 (1958),  858–861
20. The difference method for solution of a non-linear Goursat problem
    
    Dokl. Akad. Nauk SSSR, 117:4 (1957),  559–562
21. Some questions of the qualitative theory of ordinary linear homogeneous differential equations with variable coefficients
    
    Uch. Zap. Mosk. Gos. Univ., 165 (1954),  39–78


22. Numerical solution of ordinary and partial differential equation. Ed. L. Fox . Book Review
    
    Zh. Vychisl. Mat. Mat. Fiz., 4:3 (1964),  615–617