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The fourth order accuracy decomposition scheme for an evolution problem

Published online by Cambridge University Press:  15 August 2004

Zurab Gegechkori ,
Jemal Rogava  and
Mikheil Tsiklauri
Zurab Gegechkori
Affiliation:
I. Vekua Institute of Applied Mathematics, University Str. 2, 0143, Tbilisi, Georgia. GegeZu.Cyber@viam.hepi.edu.ge.
Jemal Rogava
Affiliation:
I. Vekua Institute of Applied Mathematics, University Str. 2, 0143, Tbilisi, Georgia. GegeZu.Cyber@viam.hepi.edu.ge.
Mikheil Tsiklauri
Affiliation:
I. Vekua Institute of Applied Mathematics, University Str. 2, 0143, Tbilisi, Georgia. GegeZu.Cyber@viam.hepi.edu.ge.
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Abstract

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.

Keywords

Decomposition methodsemigroupoperator split methodTrotter formulaCauchy abstract problem.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 38 , Issue 4 , July 2004 , pp. 707 - 722
Copyright
© EDP Sciences, SMAI, 2004

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