# The fourth order accuracy decomposition scheme for an evolution problem

Zurab Gegechkori; Jemal Rogava; Mikheil Tsiklauri

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- 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 38.4 (2010): 707-722. <http://eudml.org/doc/194235>.

@article{Gegechkori2010,

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},

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},

month = {3},

number = {4},

pages = {707-722},

publisher = {EDP Sciences},

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

url = {http://eudml.org/doc/194235},

volume = {38},

year = {2010},

}

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

DA - 2010/3//

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/194235

ER -

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