| Issue |
ESAIM: M2AN
Volume 38, Number 4, July-August 2004
|
|
|---|---|---|
| Page(s) | 707 - 722 | |
| DOI | https://doi.org/10.1051/m2an:2004031 | |
| Published online | 15 August 2004 | |
The fourth order accuracy decomposition scheme for an evolution problem
I. Vekua Institute of Applied Mathematics, University Str. 2, 0143, Tbilisi, Georgia. GegeZu.Cyber@viam.hepi.edu.ge.
Received:
31
July
2003
Revised:
25
May
2004
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.
Mathematics Subject Classification: 65M12 / 65M15 / 65M55
Key words: Decomposition method / semigroup / operator split method / Trotter formula / Cauchy abstract problem.
© EDP Sciences, SMAI, 2004
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