High degree precision decomposition method for the evolution problem with an operator under a split form

Zurab Gegechkori; Jemal Rogava; Mikheil Tsiklauri

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 36, Issue: 4, page 693-704
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Gegechkori, Zurab, Rogava, Jemal, and Tsiklauri, Mikheil. "High degree precision decomposition method for the evolution problem with an operator under a split form." ESAIM: Mathematical Modelling and Numerical Analysis 36.4 (2010): 693-704. <http://eudml.org/doc/194121>.

@article{Gegechkori2010,
abstract = { 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. },
author = {Gegechkori, Zurab, Rogava, Jemal, Tsiklauri, Mikheil},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Decomposition method; Semigroup; Trotter formula; Cauchy abstract problem.; decomposition method; Trotter formula; abstract Cauchy problem; parallel computation; error estimate},
language = {eng},
month = {3},
number = {4},
pages = {693-704},
publisher = {EDP Sciences},
title = {High degree precision decomposition method for the evolution problem with an operator under a split form},
url = {http://eudml.org/doc/194121},
volume = {36},
year = {2010},
}

TY - JOUR
AU - Gegechkori, Zurab
AU - Rogava, Jemal
AU - Tsiklauri, Mikheil
TI - High degree precision decomposition method for the evolution problem with an operator under a split form
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 36
IS - 4
SP - 693
EP - 704
AB - 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.
LA - eng
KW - Decomposition method; Semigroup; Trotter formula; Cauchy abstract problem.; decomposition method; Trotter formula; abstract Cauchy problem; parallel computation; error estimate
UR - http://eudml.org/doc/194121
ER -

References

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