# 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

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topGegechkori, 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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