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.
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