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dc.contributor.authorDriscoll, T.
dc.contributor.authorGottlieb, Hans
dc.contributor.editorI Oppenheimer
dc.date.accessioned2017-05-03T11:08:02Z
dc.date.available2017-05-03T11:08:02Z
dc.date.issued2003
dc.date.modified2007-10-25T06:10:04Z
dc.identifier.issn1063651X
dc.identifier.urihttp://hdl.handle.net/10072/6351
dc.description.abstractThe isospectrality of a well-known pair of shapes constructed from two arrangements of seven congruent right isosceles triangles with the Neumann boundary condition is verified numerically to high precision. Equally strong numerical evidence for isospectrality is presented for the eigenvalues of this standard pair in new boundary configurations with alternating Dirichlet and Neumann boundary conditions along successive edges. Good agreement with theory is obtained for the corresponding spectral staircase functions. Strong numerical evidence is also presented for isospectrality in an example of a different pair of shapes whose basic building-block triangle is not isosceles. Some possible confirmatory experiments involving fluids are suggested.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent67973 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.publisher.placeUnited States
dc.publisher.urihttp://prola.aps.org/abstract/PRE/v68/i1/e016702
dc.relation.ispartofpagefrom016702.1
dc.relation.ispartofpageto016702.6
dc.relation.ispartofedition2003
dc.relation.ispartofissue1
dc.relation.ispartofjournalPhysical Review E: (Statistical, Nonlinear| and Soft Matter Physics)
dc.relation.ispartofvolume68
dc.subject.fieldofresearchcode230116
dc.titleIsospectral shapes with Neumann and alternating boundary conditions
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 2003 American Physical Society. Reproduced in accordance with the copyright policy of the publisher. This journal is available online - use hypertext links.
gro.date.issued2003
gro.hasfulltextFull Text
gro.griffith.authorGottlieb, Hans P.


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