@Article{NMTMA-4-68, author = {Jürgen Geiser}, title = {Multi-Product Expansion with Suzuki's Method: Generalization}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2011}, volume = {4}, number = {1}, pages = {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.
}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2011.m9010}, url = {http://global-sci.org/intro/article_detail/nmtma/5959.html} }