An Explicit Hermite-Taylor Method for the Schrödinger Equation

An Explicit Hermite-Taylor Method for the Schrödinger Equation

Year:    2017

Communications in Computational Physics, Vol. 21 (2017), Iss. 5 : pp. 1207–1230

Abstract

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

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.080815.211116a

Communications in Computational Physics, Vol. 21 (2017), Iss. 5 : pp. 1207–1230

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    24

Keywords:   

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