Biezuner, R.J., Ercole, G., Martins, E.M.: Eigenvalues and eigenfunctions of the Laplacian via inverse iteration with shift (submitted)Eigenvalues and eigenfunctions of the Laplacian via inverse iteration with shift[J] . Rodney Josué Biezuner,Grey Ercole,Breno Loureiro Giacchini,Eder Marinho...
Expansions are extracted by considering the restorative force term as a linear perturbation of the Laplacian; errors of truncation for these expansions are estimated. Theriteria defining the subset of eigenvalues and eigenfunctions that can be studied depends only on the size and linearity of the ...
This work also presents the highly accurate computation of eigenfunctions and eigenvalues with cubic finite elements on triangle meshes and discusses the construction of persistence diagrams from the Morse-Smale complex as well as the relation to size functions....
Let $(M,g)$ be a two-dimensional compact boundaryless Riemannian manifoldwith Laplacian, $\\Delta_g$. If $e_\\lambda$ are the associated eigenfunctions of$\\sqrt{-\\Delta_g}$ so that $-\\Delta_g e_\\lambda = \\lambda^2 e_\\lambda$, then ithas been known for some time \\...
eigenvaluesand eigenfunctionsof theFPoperator providenew insightsinto theproperties of theseeigenvectorsandontheperformanceof spectral clusteringalgorithms, asdescribed in section 4. 2 Diffusion Distances and Diffusion Maps Thestarting point of our analysis, as also noted in other works, is theobservation th...
Toth and Steve Zelditch Abstract. The eigenfunctions ei λ,x of the Laplacian on a flat torus have uniformly bounded Lp norms. In this article, we prove that for every other quantum inte- grable Laplacian, the Lp norms of the joint eigenfunctions blow up at least at the rate ϕk Lp ...
摘要: This expository note explores Laplacian eigenfunction localization for compact domains. We work in the context of a particular numerically determined, localized, low frequency eigenfunction.关键词:中国 信息技术 软件产业 国际化 DOI: 10.5565/PUBLMAT_50106_13 被引量: 23 ...
Eigenvalues and Eigenfunctions of the LaplacianNica, MihaiNica, M., 2011: Eigenvalues and Eigenfunctions of the Laplacian, The Waterloo Mathematics Review, 1, 23-34.M. Nica. Eigenvalues and Eigenfunctions of the Laplacian. The Waterloo Mathe- matics Review, 1(2):23-34, 2011....
In this paper we are interested in the problem of convergence of the eigenvalues and eigenfunctions of the Laplacian with Went zell-Robin boundary condition to the eigenvalues and eigenfunctions of the Laplacien with Dirichlet boundary condition when the Robin parameter tends to infinity. We show ...
APPLIED MATHEMATICS AND COMPUTATION -ELSEVIER-BiezunerR.J.ErcoleG.GiacchiniB.L.MartinsE.M.Eigenvalues and eigenfunctions of the Laplacian via inverse iteration with shift[J] . Rodney Josué Biezuner,Grey Ercole,Breno Loureiro Giacchini,Eder Marinho Martins.Applied Mathematics and Computation . 2012...