On the spectrum of the negative Laplacian for general doubly-connected bounded domains.
Zayed, E.M.E., Younis, A.I. (1995)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Hearing the shape of membranes: Further results.”
On the spectrum of the negative Laplacian for general doubly-connected bounded domains.
An inverse eigenvalue problem for an arbitrary multiply connected bounded region in .
Zayed, E.M.E. (1991)
International Journal of Mathematics and Mathematical Sciences
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An inverse eigenvalue problem for an arbitrary multiply connected bounded region: An extension to higher dimensions.
Zayed, E.M.E. (1993)
International Journal of Mathematics and Mathematical Sciences
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Shape sensitivity analysis of eigenvalues revisited
Serguei Nazarov, Jan Sokołowski (2008)
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Hierarchies of difference boundary value problems.
Currie, Sonja, Love, Anne D. (2011)
Boundary Value Problems [electronic only]
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Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions.
Zayed, E.M.E. (1997)
International Journal of Mathematics and Mathematical Sciences
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Transformations of difference equations. II.
Currie, Sonja, Love, Anne D. (2010)
Advances in Difference Equations [electronic only]
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Boundary integral equations and modified Green's functions
G. F. Roach (1987)
Banach Center Publications
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Some variants of the method of fundamental solutions: regularization using radial and nearly radial basis functions
Csaba Gáspár (2013)
Open Mathematics
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The method of fundamental solutions and some versions applied to mixed boundary value problems are considered. Several strategies are outlined to avoid the problems due to the singularity of the fundamental solutions: the use of higher order fundamental solutions, and the use of nearly fundamental solutions and special fundamental solutions concentrated on lines instead of points. The errors of the approximations as well as the problem of ill-conditioned matrices are illustrated via...