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
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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.
@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},
publisher = {mathdoc},
volume = {23},
number = {3},
year = {1983},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a9/ %G ru %F ZVMMF_1983_23_3_a9
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/