Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 609-619
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G. I. Shishkin. Difference scheme on a nonuniform grid for a differential equation with small parameter multiplying the highest derivative. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 609-619. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a9/
@article{ZVMMF_1983_23_3_a9,
author = {G. I. Shishkin},
title = {Difference scheme on a nonuniform grid for a differential equation with small parameter multiplying the highest derivative},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {609--619},
year = {1983},
volume = {23},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a9/}
}
TY - JOUR
AU - G. I. Shishkin
TI - Difference scheme on a nonuniform grid for a differential equation with small parameter multiplying the highest derivative
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 609
EP - 619
VL - 23
IS - 3
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a9/
LA - ru
ID - ZVMMF_1983_23_3_a9
ER -
%0 Journal Article
%A G. I. Shishkin
%T Difference scheme on a nonuniform grid for a differential equation with small parameter multiplying the highest derivative
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 609-619
%V 23
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a9/
%G ru
%F ZVMMF_1983_23_3_a9
For an ordinary differential equation and an equation of parabolic type, with a small parameter in the highest derivative, schemes are constructed, which uniformly converge with respect to the parameter. For the ordinary equation, an algorithm is given for constructing a scheme of high order of accuracy.
