High-degree precision decomposition method for an evolution problem (Q2726282)

A symmetrized sequential-parallel decomposition method of the third degree of precision is suggested for solving an abstract Cauchy problem. The third-degree precision is reached by introducing a complex parameter. For the considered scheme an explicit a priori estimation is obtained. Under explicit estimations the authors understand such a priori estimations for the error of the solution, where the constants of the right term do not depend on the solution of the initial continuous problem.