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dc.contributor.authorMakai, Mihaly ( )
dc.contributor.authorOrechwa, Yuri ( )
dc.date.accessioned2020-07-07T19:14:20Z
dc.date.available2020-07-07T19:14:20Z
dc.date.issued2002-01-02
dc.identifier.citationMakai, M., & Orechwa, Y. (2002). Solutions of boundary-value problems in discretized volumes. Electronic Journal of Differential Equations, 2002(01), pp. 1-20.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/11979
dc.description.abstractThe solution of a boundary-value problem in a volume discretized by finitely many copies of a tile is obtained via a Green's function. The algorithm for constructing the solution exploits results from graph and group theory. This technique produces integral equations on the internal and external boundaries of the volume and demonstrates that two permutation matrices characterize the symmetries of the volume. We determine the number of linearly independent solutions required over the tile and the conditions needed for two boundary-value problems to be isospectral. Our method applies group theoretical considerations to asymmetric volumes.en_US
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.language.isoen_USen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectBoundary value problemen_US
dc.subjectCovering groupen_US
dc.subjectEquispectral volumesen_US
dc.titleSolutions of Boundary-Value Problems in Discretized Volumesen_US
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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