TY - JOUR
T1 - Global error estimation for explicit general linear methods
AU - Abdi, Ali
AU - Hojjati, Gholamreza
AU - Izzo, Giuseppe
AU - Jackiewicz, Zdzislaw
N1 - Funding Information:
The work of the first and second authors was supported by the University of Tabriz, International and Academic Cooperation Directorate, in the framework of TabrizU-300 program.
Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2022/3
Y1 - 2022/3
N2 - We describe an approach to global error estimation for explicit general linear methods. This approach is based on computation of two numerical solutions by pairs of general linear methods of the same order and stage order and with proportional global error functions. The results of numerical experiments indicate that this approach is very accurate in constant and variable stepsize environments.
AB - We describe an approach to global error estimation for explicit general linear methods. This approach is based on computation of two numerical solutions by pairs of general linear methods of the same order and stage order and with proportional global error functions. The results of numerical experiments indicate that this approach is very accurate in constant and variable stepsize environments.
KW - Fixed-stepsize methods
KW - General linear methods
KW - Global error estimation
KW - Inherent Runge–Kutta stability
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U2 - 10.1007/s11075-021-01146-1
DO - 10.1007/s11075-021-01146-1
M3 - Article
AN - SCOPUS:85108097495
SN - 1017-1398
VL - 89
SP - 1075
EP - 1093
JO - Numerical Algorithms
JF - Numerical Algorithms
IS - 3
ER -