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 - <p style="text-align: justify;">In this paper we discuss the extension to exponential splitting
methods with respect to time-dependent operators. We concentrate on
the Suzuki&#39;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.</p>