|
|||||
|
|
Defining systems and Newton-like methods for finding singular solutions to nonlinear boundary value problems |
|
| Authors: | M Yu Yerina A F Izmailov |
| Institution: | (1) Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119997, Russia;(2) Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russia |
| Abstract: | A technique proposed earlier for constructing defining systems, which are a means for finding singular solutions to nonlinear equations, and the Newton-like methods based on this technique are now analyzed from the point of view of their stability with respect to perturbations in the operator of the equation. The results obtained make it possible to extend this approach to nonlinear boundary value problems for ordinary differential equations. |
| Keywords: | boundary value problem for ordinary differential equations singular solution defining system regularity nondegeneracy Gauss-Newton method stability |
| 本文献已被 SpringerLink 等数据库收录！ | |