TY - JOUR
T1 - An Explicit Hermite-Taylor Method for the Schrödinger Equation
AU - Daniel Appelö, Gunilla Kreiss & Siyang Wang
JO - Communications in Computational Physics
VL - 5
SP - 1207
EP - 1230
PY - 2018
DA - 2018/04
SN - 21
DO - http://doi.org/10.4208/cicp.080815.211116a
UR - https://global-sci.org/intro/article_detail/cicp/11277.html
KW - 
AB - <p style="text-align: justify;">An explicit spectrally accurate order-adaptive Hermite-Taylor method for
the Schr<span style="color: #333333; font-family: ">ö</span>dinger equation is developed. Numerical experiments illustrating the properties
of the method are presented. The method, which is able to use very coarse grids
while still retaining high accuracy, compares favorably to an existing exponential integrator
– high order summation-by-parts finite difference method.</p>