Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 12, pp. 2209-2222
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L. M. Skvortsov. Diagonally implicit Runge–Kutta methods for stiff problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 12, pp. 2209-2222. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a8/
@article{ZVMMF_2006_46_12_a8,
author = {L. M. Skvortsov},
title = {Diagonally implicit {Runge{\textendash}Kutta} methods for stiff problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2209--2222},
year = {2006},
volume = {46},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a8/}
}
TY - JOUR
AU - L. M. Skvortsov
TI - Diagonally implicit Runge–Kutta methods for stiff problems
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2006
SP - 2209
EP - 2222
VL - 46
IS - 12
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a8/
LA - ru
ID - ZVMMF_2006_46_12_a8
ER -
%0 Journal Article
%A L. M. Skvortsov
%T Diagonally implicit Runge–Kutta methods for stiff problems
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2006
%P 2209-2222
%V 46
%N 12
%U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a8/
%G ru
%F ZVMMF_2006_46_12_a8
Diagonally implicit Runge–Kutta methods are examined. It is shown that, for stiff problems, the methods based on the minimization of certain error functions have advantages over other methods; these functions are determined in terms of the errors for simplest model equations. Methods of orders three, four, five, and six are considered.
