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Global error estimation for explicit second derivative general linear methods.

Authors :
Abdi, Ali
Hojjati, Gholamreza
Izzo, Giuseppe
Jackiewicz, Zdzislaw
Source :
Numerical Algorithms; Jun2022, Vol. 90 Issue 2, p833-850, 18p
Publication Year :
2022

Abstract

In this paper, we describe an approach to estimate the global error for explicit second derivative general linear methods based on the approach which has been already used for global error estimation of explicit general linear methods. In this approach, to estimate the global error, we use the numerical solutions of pairs of second derivative general linear methods with the same order and stage order that are constructed such that their global error functions are proportional. Numerical experiments demonstrate the excellent agreement of the global error estimation with the exact one in both constant and variable stepsize environments. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10171398
Volume :
90
Issue :
2
Database :
Complementary Index
Journal :
Numerical Algorithms
Publication Type :
Academic Journal
Accession number :
156743838
Full Text :
https://doi.org/10.1007/s11075-021-01211-9