High degree precision decomposition method for the evolution problem with an operator under a split form
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002) no. 4, pp. 693-704.

In the present work the symmetrized sequential-parallel decomposition method of the third degree precision for the solution of Cauchy abstract problem with an operator under a split form, is presented. The third degree precision is reached by introducing a complex coefficient with the positive real part. For the considered schema the explicit a priori estimation is obtained.

DOI : https://doi.org/10.1051/m2an:2002030
Classification : 65M12,  65M15,  65M55
Mots clés : decomposition method, semigroup, Trotter formula, Cauchy abstract problem
@article{M2AN_2002__36_4_693_0,
author = {Gegechkori, Zurab and Rogava, Jemal and Tsiklauri, Mikheil},
title = {High degree precision decomposition method for the evolution problem with an operator under a split form},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
pages = {693--704},
publisher = {EDP-Sciences},
volume = {36},
number = {4},
year = {2002},
doi = {10.1051/m2an:2002030},
zbl = {1070.65562},
mrnumber = {1932309},
language = {en},
url = {archive.numdam.org/item/M2AN_2002__36_4_693_0/}
}
Gegechkori, Zurab; Rogava, Jemal; Tsiklauri, Mikheil. High degree precision decomposition method for the evolution problem with an operator under a split form. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002) no. 4, pp. 693-704. doi : 10.1051/m2an:2002030. http://archive.numdam.org/item/M2AN_2002__36_4_693_0/

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