Application of the method of Lyapunov functions to the study of the convergence of numerical methods

USSR Computational Mathematics and Mathematical Physics

Volumn 15, Issue 1, 1975, Pages 96-108

  Evtushenko, Yu G ^a   Zhadan, V G ^a  

^a MoscowRussia ^*

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1542312688     PISSN: 00415553     EISSN: None     Source Type: Journal    
DOI: 10.1016/0041-5553(75)90138-X     Document Type: Article

References (18)

1. The general problem of the stability of motion
2. Fifty years of mechanics in the USSR
3. Lyapunov methods and their applications
4. Introduction to stability theory
5. On the stability of sets of unisolated equilibrium positions of non-autonomous systems
6. On the asymptotic stability of sets
7. Stability theory for ordinary differential equations
8. Attractivity of certain sets proved by using several Liapunov functions
9. The method of differential equations in determining an extremum by means of analog computers
10. Methods for solving non-linear extremal problems
11. Convergence conditions for non-linear programming algorithms
12. On the existence of solutions of many-valued differential equations
13. Numerical methods for solving some operations research problems
14. On the structure of algorithms for the numerical solution of optimal planning and design problems