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Multi-Product Expansion with Suzuki’s Method: Generalization

Published online by Cambridge University Press:  28 May 2015

Jürgen Geiser
Jürgen Geiser*
Affiliation:
Department of Mathematics, Humboldt University of Berlin, Unter den Linden 6, D-10099 Berlin, Germany
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Abstract

In this paper we discuss the extension to exponential splitting methods with respect to time-dependent operators. We concentrate on the Suzuki’s method, which incorporates ideas to the time-ordered exponential of [3,11,12,34]. We formulate the methods with respect to higher order by using kernels for an extrapolation scheme. The advantages include more accurate and less computational intensive schemes to special time-dependent harmonic oscillator problems. The benefits of the higher order kernels are given on different numerical examples.

Keywords

65M1565L0565M71Suzuki’s methodmultiproduct expansionmultiplicate and additive splitting schemesexponential splitting
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 4 , Issue 1 , February 2011 , pp. 68 - 91
Copyright
Copyright © Global Science Press Limited 2011

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