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Estimates on Neumann eigenfunctions at the boundary, and the "Method of Particular Solutions" for computing them
Estimates Neumann eigenfunctions Spectral Theory Analysis of PDEs
2011/9/1
Abstract: We consider the "Method of particular solutions" for numerically computing eigenvalues and eigenfunctions of the Laplacian $\Delta$ on a smooth, bounded domain Omega in RR^n with either Diri...
On Nodal Lines of Neumann Eigenfunctions
Nodal line reected Brownian motion mirror coupling eigenfunction Neumann problem
2009/4/29
We present a new method for locating the nodal line of the second eigenfunction for the Neumann problem in a planar domain.