no. 4
High degree precision decomposition method for the evolution problem with an operator under a split form
ESAIM: 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 : 10.1051/m2an:2002030
Classification : 65M12, 65M15, 65M55
Keywords: decomposition method, semigroup, Trotter formula, Cauchy abstract problem 
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     title = {High degree precision decomposition method for the evolution problem with an operator under a split form},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {693--704},
     year = {2002},
     publisher = {EDP Sciences},
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Gegechkori, Zurab; Rogava, Jemal; Tsiklauri, Mikheil. High degree precision decomposition method for the evolution problem with an operator under a split form. ESAIM: Modélisation mathématique et analyse numérique, Tome 36 (2002) no. 4, pp. 693-704. doi: 10.1051/m2an:2002030

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