Year: 2011
Numerical Mathematics: Theory, Methods and Applications, Vol. 4 (2011), Iss. 1 : pp. 68–91
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 into 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 for special time-dependent harmonic oscillator problems. The benefits of the higher order kernels are given on different numerical examples.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.2011.m9010
Numerical Mathematics: Theory, Methods and Applications, Vol. 4 (2011), Iss. 1 : pp. 68–91
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Suzuki's method multiproduct expansion multiplicate and additive splitting schemes exponential splitting.