Iterative operator-splitting method pade approximations extrapolation methods error analysis differential equations Computation of Iterative operator-splitting methods. Juergen Geiser Geiser Juergen Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 30 pp.

Computation of Iterative operator-splitting methods.

Juergen Geiser

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 30 pp.

MSC 2000

65M15 Error bounds
65L05 Initial value problems

Abstract
In this paper we describe a computation of iterative operator-splitting method, which are known as competitive splitting methods, see \cite{geiser_09_1} and \cite{geiser_08_1}. We derived a closed form, based on commutators for the iterative method. The schemes apply extrapolation schemes and Pade approximations to the exp-functions. The error analysis describe the approximation errors. Numerical examples of ordinary and partial differential equations support the fast computation ideas.

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