Geodesic
On discrete boundary-value problems and their approximation properties
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 174 (2020), pp. 12-19

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

Discrete analogs of pseudo-differential operators and equations in discrete Sobolev–Slobodetsky spaces are considered. Using suitable discrete boundary conditions, we prove the unique solvability of the discrete boundary-value problem.
Keywords: discrete pseudo-differential operator, discrete boundary-value problem, solvability, approximation, periodic factorization, error estimate. 
@article{INTO_2020_174_a1,
     author = {V. B. Vasilev (Vasilyev) and O. A. Tarasova},
     title = {On discrete boundary-value problems and their approximation properties},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {12--19},
     publisher = {mathdoc},
     volume = {174},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_174_a1/}
}
TY  - JOUR
AU  - V. B. Vasilev (Vasilyev)
AU  - O. A. Tarasova
TI  - On discrete boundary-value problems and their approximation properties
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2020
SP  - 12
EP  - 19
VL  - 174
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2020_174_a1/
LA  - ru
ID  - INTO_2020_174_a1
ER  - 
%0 Journal Article
%A V. B. Vasilev (Vasilyev)
%A O. A. Tarasova
%T On discrete boundary-value problems and their approximation properties
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2020
%P 12-19
%V 174
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2020_174_a1/
%G ru
%F INTO_2020_174_a1
V. B. Vasilev (Vasilyev); O. A. Tarasova. On discrete boundary-value problems and their approximation properties. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 174 (2020), pp. 12-19. http://geodesic.mathdoc.fr/item/INTO_2020_174_a1/