An Explicit Hermite-Taylor Method for the Schrodinger Equation

作者:Appelo Daniel*; Kreiss Gunilla; Wang Siyang
来源:Communications in Computational Physics, 2017, 21(5): 1207-1230.
DOI:10.4208/cicp.080815.211116a

摘要

An explicit spectrally accurate order-adaptive Hermite-Taylor method for the Schrodinger 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.

  • 出版日期2017-5