TY - JOUR
T1 - Error propagation for implicit–explicit general linear methods
AU - Braś, M.
AU - Cardone, A.
AU - Jackiewicz, Zdzislaw
AU - Pierzchała, P.
N1 - Funding Information:
The work of the first author (M. Braś) was partially supported by the Faculty of Applied Mathematics AGH UST dean grant no. 15.11.420.038 for PhD students and young researchers within subsidy of Ministry of Science and Higher Education.
Funding Information:
The work of the second author (A. Cardone) is supported by INdAM-GNCS .
Publisher Copyright:
© 2018
PY - 2018/9
Y1 - 2018/9
N2 - We consider the class of implicit–explicit general linear methods (IMEX). Such schemes are designed for ordinary differential equation systems with right hand side function splitted into stiff and non-stiff parts. We investigate error propagation of IMEX methods up to the terms of order p+2. In addition, we construct IMEX schemes of order p and stage order q=p, p≤4 and we verify the performance of methods in several numerical experiments.
AB - We consider the class of implicit–explicit general linear methods (IMEX). Such schemes are designed for ordinary differential equation systems with right hand side function splitted into stiff and non-stiff parts. We investigate error propagation of IMEX methods up to the terms of order p+2. In addition, we construct IMEX schemes of order p and stage order q=p, p≤4 and we verify the performance of methods in several numerical experiments.
KW - Error propagation
KW - General linear methods
KW - Implicit-explicit methods
KW - Local discretization errors
KW - Stability analysis
KW - Stage order and order conditions
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U2 - 10.1016/j.apnum.2018.05.004
DO - 10.1016/j.apnum.2018.05.004
M3 - Article
AN - SCOPUS:85047057649
SN - 0168-9274
VL - 131
SP - 207
EP - 231
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
ER -