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| Title: | On iterative methods for some elliptic equations with nonlocal conditions |
| Authors: | Štikonienė, Olga
Sapagovas, Mifodijus
Čiupaila, Regimantas |
| Keywords: | Elliptic equation
Nonlocal conditions
Finite difference method
M-matrices
Iterative methods |
| Issue Date: | 2014 |
| Publisher: | Institute of Mathematics and Informatics |
| Citation: | Štikonienė, O.; Sapagovas, M.; Čiupaila, R. 2014. On iterative methods for some elliptic equations with nonlocal conditions, Nonlinear analysis: modelling and control. Vilnius : Institute of Mathematics and Informatics. 19(3): 517-535 |
| Series/Report no.: | 19;3 |
| Abstract: | The iterative methods for the solution of the system of the difference equations derived from the elliptic equation with nonlocal conditions are considered. The case of the matrix of the difference equations system being the M-matrix is investigated. Main results for the convergence of the iterative methods are obtained considering the structure of the spectrum of the difference operators with nonlocal conditions. Furthermore, the case when the matrix of the system of difference equations has only positive eigenvalues was investigated. The survey of results on convergence of iterative methods for difference problem with nonlocal condition is also presented. |
| URI: | http://dspace.vgtu.lt/handle/1/2196 |
| ISSN: | 1392-5113 |
| Appears in Collections: | Moksliniai straipsniai / Research articles
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