@Article{CiCP-16-1102, author = {}, 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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.111213.110414a}, url = {http://global-sci.org/intro/article_detail/cicp/7074.html} }