A note on asymptotic splitting and its applications

Abstract

Explicit forms of the remainder terms of the asymptotic splitting formulae associated with the first order splitting, Strange's splitting, and the parallel splitting are derived. Using the identities obtained, we establish the global error estimates for the asymptotic splitting formulae. Both the theoretical investigation and numerical experiments indicate that it is a more efficient and accurate way to use the asymptotic splitting than the conventional splitting formulae. © 1994.