TY - JOUR T1 - Multi-Product Expansion with Suzuki's Method: Generalization JO - Numerical Mathematics: Theory, Methods and Applications VL - 1 SP - 68 EP - 91 PY - 2011 DA - 2011/04 SN - 4 DO - http://doi.org/10.4208/nmtma.2011.m9010 UR - https://global-sci.org/intro/article_detail/nmtma/5959.html KW - Suzuki's method, multiproduct expansion, multiplicate and additive splitting schemes, exponential splitting. AB -
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.