Computing eigenvalues and eigenfunctions of the Laplacian for convex polygons
DOI10.1016/j.apnum.2017.12.001zbMath1380.65351OpenAlexW2774884604MaRDI QIDQ1690907
Matthew J. Colbrook, Athanassios S. Fokas
Publication date: 12 January 2018
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2017.12.001
collocation methodboundary value problemsHelmholtz equationLaplacianeigenvalues and eigenfunctionselliptic PDEsspectral convergenceFokas methodunified transform method
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
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