The fourth order accuracy decomposition scheme for an evolution problem

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...

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Bibliographic Details
Published in:ESAIM. Mathematical modelling and numerical analysis 2004-07, Vol.38 (4), p.707-722
Main Authors: Gegechkori, Zurab, Rogava, Jemal, Tsiklauri, Mikheil
Format: Article
Language:English
Subjects:
65M12
65M15
65M55
Accuracy
Applied mathematics
Approximation
Banach spaces
Cauchy abstract problem
Cauchy problems
Decomposition
Decomposition method
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
operator split method
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
semigroup
Trotter formula
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Summary: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.
ISSN:0764-583X
1290-3841
DOI:10.1051/m2an:2004031