Geodesic
Numerical solution of boundary value problems in unlimited area
Matematičeskoe modelirovanie, Tome 14 (2002) no. 11, pp. 10-22

Voir la notice de l'article provenant de la source Math-Net.Ru

The new approach to solution of boundary value problems in unlimited area is developed. The use of quasi-uniform grids allows solving such problems, stating a boundary condition directly on infinity. Various variants of quasiequidistant grids are constructed and their properties are investigated. Difference schemes ensuring consistency on a grid with infinite interval are developed. The offered approach is successfully tested on a heat conduction problem in semi-infinite area and for evaluation of linear differential operators spectra. 
@article{MM_2002_14_11_a1,
     author = {E. A. Alshina and N. N. Kalitkin and S. L. Panchenko},
     title = {Numerical solution of boundary value problems in unlimited area},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {10--22},
     publisher = {mathdoc},
     volume = {14},
     number = {11},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2002_14_11_a1/}
}
TY  - JOUR
AU  - E. A. Alshina
AU  - N. N. Kalitkin
AU  - S. L. Panchenko
TI  - Numerical solution of boundary value problems in unlimited area
JO  - Matematičeskoe modelirovanie
PY  - 2002
SP  - 10
EP  - 22
VL  - 14
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2002_14_11_a1/
LA  - ru
ID  - MM_2002_14_11_a1
ER  - 
%0 Journal Article
%A E. A. Alshina
%A N. N. Kalitkin
%A S. L. Panchenko
%T Numerical solution of boundary value problems in unlimited area
%J Matematičeskoe modelirovanie
%D 2002
%P 10-22
%V 14
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2002_14_11_a1/
%G ru
%F MM_2002_14_11_a1
E. A. Alshina; N. N. Kalitkin; S. L. Panchenko. Numerical solution of boundary value problems in unlimited area. Matematičeskoe modelirovanie, Tome 14 (2002) no. 11, pp. 10-22. http://geodesic.mathdoc.fr/item/MM_2002_14_11_a1/