| Issue |
ESAIM: M2AN
Volume 36, Number 4, July/August 2002
|
|
|---|---|---|
| Page(s) | 693 - 704 | |
| DOI | https://doi.org/10.1051/m2an:2002030 | |
| Published online | 15 September 2002 | |
High degree precision decomposition method for the evolution problem with an operator under a split form
1
Iv. Javakhishvili Tbilisi State University, Tbilisi
380043, Georgia. GegeZu.Cyber@viamnet.hepi.edu.ge.
2
I. Vekua Institute of Applied Mathematics
of Iv. Javakhishvili Tbilisi State University, Tbilisi 380043, Georgia. JRogava@viam.hepi.edu.ge. MTsikla@viam.hepi.edu.ge.
Received:
20
June
2001
Revised:
8
October
2001
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.
Mathematics Subject Classification: 65M12 / 65M15 / 65M55
Key words: Decomposition method / Semigroup / Trotter formula / Cauchy abstract problem.
© EDP Sciences, SMAI, 2002
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