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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

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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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