On the numerical solution of~$2m$-th elliptic problems by least squares method using splines on rectangular grids
Matematičeskoe modelirovanie, Tome 2 (1990) no. 4, pp. 121-132.

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

The least squares method is proposed for numerical solution of $2m$-th – order elliptic problems with arbitrary boundary conditions. The method utilizes spline approximation on retangular grids, which are not adjusted to the shapes of the region under study. The results of investigations of 2-nd and 4-th order problems related to the elastisity theory are represented.
@article{MM_1990_2_4_a9,
     author = {N. A. Marchenko and V. I. Pavlov},
     title = {On the numerical solution of~$2m$-th elliptic problems by least squares method using splines on rectangular grids},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {121--132},
     publisher = {mathdoc},
     volume = {2},
     number = {4},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_4_a9/}
}
TY  - JOUR
AU  - N. A. Marchenko
AU  - V. I. Pavlov
TI  - On the numerical solution of~$2m$-th elliptic problems by least squares method using splines on rectangular grids
JO  - Matematičeskoe modelirovanie
PY  - 1990
SP  - 121
EP  - 132
VL  - 2
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_1990_2_4_a9/
LA  - ru
ID  - MM_1990_2_4_a9
ER  - 
%0 Journal Article
%A N. A. Marchenko
%A V. I. Pavlov
%T On the numerical solution of~$2m$-th elliptic problems by least squares method using splines on rectangular grids
%J Matematičeskoe modelirovanie
%D 1990
%P 121-132
%V 2
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_1990_2_4_a9/
%G ru
%F MM_1990_2_4_a9
N. A. Marchenko; V. I. Pavlov. On the numerical solution of~$2m$-th elliptic problems by least squares method using splines on rectangular grids. Matematičeskoe modelirovanie, Tome 2 (1990) no. 4, pp. 121-132. http://geodesic.mathdoc.fr/item/MM_1990_2_4_a9/