# The fourth order accuracy decomposition scheme for an evolution problem

Zurab Gegechkori; Jemal Rogava; Mikheil Tsiklauri

- Volume: 38, Issue: 4, page 707-722
- ISSN: 0764-583X

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topGegechkori, Zurab, Rogava, Jemal, and Tsiklauri, Mikheil. "The fourth order accuracy decomposition scheme for an evolution problem." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 38.4 (2004): 707-722. <http://eudml.org/doc/244633>.

@article{Gegechkori2004,

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.},

author = {Gegechkori, Zurab, Rogava, Jemal, Tsiklauri, Mikheil},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {decomposition method; semigroup; operator split method; Trotter formula; Cauchy abstract problem; decomposition scheme; Lie Trotter method; Lie Chernoff method; abstract evolution equation; abstract Cauchy problem},

language = {eng},

number = {4},

pages = {707-722},

publisher = {EDP-Sciences},

title = {The fourth order accuracy decomposition scheme for an evolution problem},

url = {http://eudml.org/doc/244633},

volume = {38},

year = {2004},

}

TY - JOUR

AU - Gegechkori, Zurab

AU - Rogava, Jemal

AU - Tsiklauri, Mikheil

TI - The fourth order accuracy decomposition scheme for an evolution problem

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2004

PB - EDP-Sciences

VL - 38

IS - 4

SP - 707

EP - 722

AB - 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.

LA - eng

KW - decomposition method; semigroup; operator split method; Trotter formula; Cauchy abstract problem; decomposition scheme; Lie Trotter method; Lie Chernoff method; abstract evolution equation; abstract Cauchy problem

UR - http://eudml.org/doc/244633

ER -

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