Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 3, pp. 401-406
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A. A. Abramov. Numerical stability of a method for transferring boundary conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 3, pp. 401-406. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_3_a4/
@article{ZVMMF_2006_46_3_a4,
author = {A. A. Abramov},
title = {Numerical stability of a~method for transferring boundary conditions},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {401--406},
year = {2006},
volume = {46},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_3_a4/}
}
TY - JOUR
AU - A. A. Abramov
TI - Numerical stability of a method for transferring boundary conditions
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2006
SP - 401
EP - 406
VL - 46
IS - 3
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_3_a4/
LA - ru
ID - ZVMMF_2006_46_3_a4
ER -
%0 Journal Article
%A A. A. Abramov
%T Numerical stability of a method for transferring boundary conditions
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2006
%P 401-406
%V 46
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_3_a4/
%G ru
%F ZVMMF_2006_46_3_a4
It is proved that a previously proposed method for transferring boundary conditions as applied to a boundary value problem for a linear system of ordinary differential equations gives numerically stable results if this problem is stable with respect to small variations in the input data.
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[2] Abramov A. A., “Variant metoda progonki”, Zh. vychisl. matem. i matem. fiz., 1:2 (1961), 349–351 | MR | Zbl
[3] Petry T., “On the stability of the Abramov transfer for differential-algebraic equations of index 1”, SIAM J. Numer. Analys., 35:1 (1998), 201–216 | DOI | MR | Zbl
