Volume 16, Issue 4
Dirichlet-to-Neumann Mapping for the Characteristic Elliptic Equations with Symmetric Periodic Coefficients

Jingsu Kang, Meirong Zhang & Chunxiong Zheng

Commun. Comput. Phys., 16 (2014), pp. 1102-1115.

Published online: 2014-10

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  • Abstract

Based on the numerical evidences, an analytical expression of the Dirichletto-Neumann mapping in the form of infinite product was first conjectured for the onedimensional characteristic Schr ¨odinger equation with a sinusoidal potential in [Commun. Comput. Phys., 3(3): 641-658, 2008]. It was later extended for the general secondorder 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-toNeumann mapping.

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@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 Dirichletto-Neumann mapping in the form of infinite product was first conjectured for the onedimensional characteristic Schr ¨odinger equation with a sinusoidal potential in [Commun. Comput. Phys., 3(3): 641-658, 2008]. It was later extended for the general secondorder 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-toNeumann mapping.

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

Based on the numerical evidences, an analytical expression of the Dirichletto-Neumann mapping in the form of infinite product was first conjectured for the onedimensional characteristic Schr ¨odinger equation with a sinusoidal potential in [Commun. Comput. Phys., 3(3): 641-658, 2008]. It was later extended for the general secondorder 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-toNeumann mapping.

Jingsu Kang, Meirong Zhang & Chunxiong Zheng. (2020). Dirichlet-to-Neumann Mapping for the Characteristic Elliptic Equations with Symmetric Periodic Coefficients. Communications in Computational Physics. 16 (4). 1102-1115. doi:10.4208/cicp.111213.110414a
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