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High degree precision decomposition methodfor the evolution problem with an operator undera split form

Published online by Cambridge University Press:  15 September 2002

Zurab Gegechkori ,
Jemal Rogava  and
Mikheil Tsiklauri
Zurab Gegechkori
Affiliation:
Iv. Javakhishvili Tbilisi State University, Tbilisi 380043, Georgia. GegeZu.Cyber@viamnet.hepi.edu.ge.
Jemal Rogava
Affiliation:
I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi 380043, Georgia. JRogava@viam.hepi.edu.ge. MTsikla@viam.hepi.edu.ge.
Mikheil Tsiklauri
Affiliation:
I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Tbilisi 380043, Georgia. JRogava@viam.hepi.edu.ge. MTsikla@viam.hepi.edu.ge.
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Abstract

In the present work the symmetrized sequential-parallel decomposition methodof the third degree precision for the solution of Cauchy abstract problemwith an operator under a split form, is presented. The third degreeprecision is reached by introducing a complex coefficient with the positivereal part. For the considered schema the explicit a priori estimation isobtained.

Keywords

Decomposition methodSemigroupTrotterformulaCauchy abstract problem.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 36 , Issue 4 , July 2002 , pp. 693 - 704
Copyright
© EDP Sciences, SMAI, 2002

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