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Volume 11, Issue 3
Complete Eigenpairs of Hexagonal Seven-Point Laplacian in Fourier Vectors at Half-Integral Nodes

Daniel Lee

DOI: 10.4208/nmtma.2017-OA-0102

Numer. Math. Theor. Meth. Appl., 11 (2018), pp. 569-603.

Published online: 2018-11

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  • Abstract

Hexagonal grid methods are valuable in two-dimensional applications involving Laplacian. The methods are investigated on problems related to standard and anisotropic Laplacian using Fourier vectors in pure, mixed and combination types. Complete (positive) eigenvalues and eigenvectors are determined explicitly in terms of various bases in a unified structure. This work is the smallest completion of some previous works.

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@Article{NMTMA-11-569, author = {Daniel Lee}, title = {Complete Eigenpairs of Hexagonal Seven-Point Laplacian in Fourier Vectors at Half-Integral Nodes}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2018}, volume = {11}, number = {3}, pages = {569--603}, abstract = {

Hexagonal grid methods are valuable in two-dimensional applications involving Laplacian. The methods are investigated on problems related to standard and anisotropic Laplacian using Fourier vectors in pure, mixed and combination types. Complete (positive) eigenvalues and eigenvectors are determined explicitly in terms of various bases in a unified structure. This work is the smallest completion of some previous works.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2017-OA-0102}, url = {http://global-sci.org/intro/article_detail/nmtma/12445.html} }
TY - JOUR T1 - Complete Eigenpairs of Hexagonal Seven-Point Laplacian in Fourier Vectors at Half-Integral Nodes AU - Daniel Lee JO - Numerical Mathematics: Theory, Methods and Applications VL - 3 SP - 569 EP - 603 PY - 2018 DA - 2018/11 SN - 11 DO - http://doi.org/10.4208/nmtma.2017-OA-0102 UR - https://global-sci.org/intro/article_detail/nmtma/12445.html KW - AB -

Hexagonal grid methods are valuable in two-dimensional applications involving Laplacian. The methods are investigated on problems related to standard and anisotropic Laplacian using Fourier vectors in pure, mixed and combination types. Complete (positive) eigenvalues and eigenvectors are determined explicitly in terms of various bases in a unified structure. This work is the smallest completion of some previous works.

Daniel Lee. (2018). Complete Eigenpairs of Hexagonal Seven-Point Laplacian in Fourier Vectors at Half-Integral Nodes. Numerical Mathematics: Theory, Methods and Applications. 11 (3). 569-603. doi:10.4208/nmtma.2017-OA-0102
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