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

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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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     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 },
     pages = {693--704},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {4},
     year = {2002},
     doi = {10.1051/m2an:2002030},
     mrnumber = {1932309},
     zbl = {1070.65562},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002030/}
}
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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: Mathematical Modelling and Numerical Analysis , Tome 36 (2002) no. 4, pp. 693-704. doi: 10.1051/m2an:2002030

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