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.
Global error estimation for explicit general linear methods / Abdi, A.; Hojjati, G.; Izzo, G.; Jackiewicz, Z.. - In: NUMERICAL ALGORITHMS. - ISSN 1017-1398. - 89:(2022), pp. 1075-1093. [10.1007/s11075-021-01146-1]
Global error estimation for explicit general linear methods
Izzo G.;
2022
Abstract
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.File in questo prodotto:
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