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, Volume 36 (2002) no. 4, p. 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
Keywords: 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},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {4},
     year = {2002},
     pages = {693-704},
     doi = {10.1051/m2an:2002030},
     zbl = {1070.65562},
     mrnumber = {1932309},
     language = {en},
     url = {http://www.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, Volume 36 (2002) no. 4, pp. 693-704. doi : 10.1051/m2an:2002030. http://www.numdam.org/item/M2AN_2002__36_4_693_0/

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