@Article{CiCP-16-1102,
author = {Jingsu Kang, Meirong Zhang and Chunxiong Zheng},
title = {Dirichlet-to-Neumann Mapping for the Characteristic Elliptic Equations with Symmetric Periodic Coefficients},
journal = {Communications in Computational Physics},
year = {2014},
volume = {16},
number = {4},
pages = {1102--1115},
abstract = {<p style="text-align: justify;">Based on the numerical evidences, an analytical expression of the Dirichlet-to-Neumann mapping in the form of infinite product was first conjectured for the one-dimensional characteristic Schrödinger equation with a sinusoidal potential in [Commun. Comput. Phys., 3(3): 641-658, 2008]. It was later extended for the general second-order characteristic elliptic equations with symmetric periodic coefficients in [J. Comp.
Phys., 227: 6877-6894, 2008]. In this paper, we present a proof for this Dirichlet-to-Neumann mapping.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.111213.110414a},
url = {http://global-sci.org/intro/article_detail/cicp/7074.html}
}