Geodesic
The fourth order accuracy decomposition scheme for an evolution problem
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 38 (2004) no. 4, pp. 707-722

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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.

DOI : 10.1051/m2an:2004031
Classification : 65M12, 65M15, 65M55
Keywords: decomposition method, semigroup, operator split method, Trotter formula, Cauchy abstract problem 
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     title = {The fourth order accuracy decomposition scheme for an evolution problem},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {707--722},
     publisher = {EDP-Sciences},
     volume = {38},
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     year = {2004},
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     zbl = {1077.65101},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2004031/}
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Gegechkori, Zurab; Rogava, Jemal; Tsiklauri, Mikheil. The fourth order accuracy decomposition scheme for an evolution problem. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 38 (2004) no. 4, pp. 707-722. doi: 10.1051/m2an:2004031

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