Diagonally implicit Runge-Kutta methods for differential-algebraic equations of indices 2 and 3
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 6, pp. 1047-1059
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Diagonally implicit Runge-Kutta methods satisfying additional order conditions are examined. These conditions make it possible to solve differential algebraic equations of indices two and three to higher accuracy. Advantages of the proposed methods over other known techniques are demonstrated using test problems.
@article{ZVMMF_2010_50_6_a6,
author = {L. M. Skvortsov},
title = {Diagonally implicit {Runge-Kutta} methods for differential-algebraic equations of indices 2 and~3},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1047--1059},
publisher = {mathdoc},
volume = {50},
number = {6},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_6_a6/}
}
TY - JOUR AU - L. M. Skvortsov TI - Diagonally implicit Runge-Kutta methods for differential-algebraic equations of indices 2 and 3 JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2010 SP - 1047 EP - 1059 VL - 50 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_6_a6/ LA - ru ID - ZVMMF_2010_50_6_a6 ER -
%0 Journal Article %A L. M. Skvortsov %T Diagonally implicit Runge-Kutta methods for differential-algebraic equations of indices 2 and 3 %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2010 %P 1047-1059 %V 50 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_6_a6/ %G ru %F ZVMMF_2010_50_6_a6
L. M. Skvortsov. Diagonally implicit Runge-Kutta methods for differential-algebraic equations of indices 2 and 3. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 6, pp. 1047-1059. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_6_a6/