Multi-Product Expansion with Suzuki's Method: Generalization
DOI:
https://doi.org/10.4208/nmtma.2011.m9010Keywords:
Suzuki's method, multiproduct expansion, multiplicate and additive splitting schemes, exponential splitting.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.