TY - JOUR
T1 - Dirichlet-to-Neumann Mapping for the Characteristic Elliptic Equations with Symmetric Periodic Coefficients
JO - Communications in Computational Physics
VL - 4
SP - 1102
EP - 1115
PY - 2014
DA - 2014/10
SN - 16
DO - http://doi.org/10.4208/cicp.111213.110414a
UR - https://global-sci.org/intro/article_detail/cicp/7074.html
KW - 
AB - <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>