Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case

Práger, Milan. "Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case." Applications of Mathematics 46.3 (2001): 231-239. <http://eudml.org/doc/33085>.

@article{Práger2001,
abstract = {A discretized boundary value problem for the Laplace equation with the Dirichlet and Neumann boundary conditions on an equilateral triangle with a triangular mesh is transformed into a problem of the same type on a rectangle. Explicit formulae for all eigenvalues and all eigenfunctions are given.},
author = {Práger, Milan},
journal = {Applications of Mathematics},
keywords = {discrete Laplace operator; discrete boundary value problem; eigenvalues; eigenfunctions; discrete Laplace operator; discrete boundary value problem; eigenvalue; eigenvector},
language = {eng},
number = {3},
pages = {231-239},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case},
url = {http://eudml.org/doc/33085},
volume = {46},
year = {2001},
}

TY - JOUR
AU - Práger, Milan
TI - Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case
JO - Applications of Mathematics
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 46
IS - 3
SP - 231
EP - 239
AB - A discretized boundary value problem for the Laplace equation with the Dirichlet and Neumann boundary conditions on an equilateral triangle with a triangular mesh is transformed into a problem of the same type on a rectangle. Explicit formulae for all eigenvalues and all eigenfunctions are given.
LA - eng
KW - discrete Laplace operator; discrete boundary value problem; eigenvalues; eigenfunctions; discrete Laplace operator; discrete boundary value problem; eigenvalue; eigenvector
UR - http://eudml.org/doc/33085
ER -