High degree precision decomposition method for the evolution problem with an operator under a split form
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.
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