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Volume 21, Issue 5
An Explicit Hermite-Taylor Method for the Schrödinger Equation

Daniel Appelö, Gunilla Kreiss & Siyang Wang

DOI: 10.4208/cicp.080815.211116a

Commun. Comput. Phys., 21 (2017), pp. 1207-1230.

Published online: 2018-04

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  • 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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@Article{CiCP-21-1207, author = {Daniel Appelö, Gunilla Kreiss and Siyang Wang}, title = {An Explicit Hermite-Taylor Method for the Schrödinger Equation}, journal = {Communications in Computational Physics}, year = {2018}, volume = {21}, number = {5}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.080815.211116a}, url = {http://global-sci.org/intro/article_detail/cicp/11277.html} }
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 -

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.

Daniel Appelö, Gunilla Kreiss and Siyang Wang. (2018). An Explicit Hermite-Taylor Method for the Schrödinger Equation. Communications in Computational Physics. 21 (5). 1207-1230. doi:10.4208/cicp.080815.211116a
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