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

Zurab Gegechkori; Jemal Rogava; Mikheil Tsiklauri

- 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 - Modélisation Mathématique et Analyse Numérique 36.4 (2002): 693-704. <http://eudml.org/doc/246045>.

@article{Gegechkori2002,

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 - Modélisation Mathématique et Analyse Numérique},

keywords = {decomposition method; semigroup; Trotter formula; Cauchy abstract problem; Semigroup; abstract Cauchy problem; parallel computation; error estimate},

language = {eng},

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/246045},

volume = {36},

year = {2002},

}

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 - Modélisation Mathématique et Analyse Numérique

PY - 2002

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; Semigroup; abstract Cauchy problem; parallel computation; error estimate

UR - http://eudml.org/doc/246045

ER -

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