In the present work, the symmetrized sequential-parallel decomposition method with the fourth order accuracy for the solution of Cauchy abstract problem with an operator under a split form is presented. The fourth order accuracy is reached by introducing a complex coefficient with the positive real part. For the considered scheme, the explicit a priori estimate is obtained.
@article{M2AN_2004__38_4_707_0,
author = {Gegechkori, Zurab and Rogava, Jemal and Tsiklauri, Mikheil},
title = {The fourth order accuracy decomposition scheme for an evolution problem},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {38},
year = {2004},
pages = {707-722},
doi = {10.1051/m2an:2004031},
mrnumber = {2087731},
zbl = {1077.65101},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2004__38_4_707_0}
}
Gegechkori, Zurab; Rogava, Jemal; Tsiklauri, Mikheil. The fourth order accuracy decomposition scheme for an evolution problem. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 38 (2004) pp. 707-722. doi : 10.1051/m2an:2004031. http://gdmltest.u-ga.fr/item/M2AN_2004__38_4_707_0/
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