Texas A&M University LibrariesTexas A&M University LibrariesTexas A&M University Libraries
    • Help
    • Login
    OAKTrust
    View Item 
    •   OAKTrust Home
    • Programs, Centers, and Institutes
    • Undergraduate Research and Capstones
    • Undergraduate Research Scholars Capstone (2006–present)
    • View Item
    •   OAKTrust Home
    • Programs, Centers, and Institutes
    • Undergraduate Research and Capstones
    • Undergraduate Research Scholars Capstone (2006–present)
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Neumann Bounded Partitions of Eigenfunctions

    Thumbnail
    View/Open
    rmcdonald_thesis_2.pdf (182.8Kb)
    Date
    2008-08-19
    Author
    McDonald, Ross Bement
    Metadata
    Show full item record
    Abstract
    A new partitioning scheme, analogous to nodal domains, for the eigenfunctions of differential operators is constructed. The new scheme produces subdomains with Neumann boundaries instead of Dirichlet boundaries and will not experience an intersection avoidance phenomenon. General properties of this scheme are studied in 1 and 2 dimensions for various operators. First, a construction of the new scheme is given by providing definitions. Then numerical data is presented, and the properties of the new domains are studied. Finally, general properties are derived from the data and definitions.
    URI
    http://hdl.handle.net/1969.1/85733
    Subject
    Neumann boundary
    nodal domain
    Collections
    • Undergraduate Research Scholars Capstone (2006–present)
    Citation
    McDonald, Ross Bement (2008). Neumann Bounded Partitions of Eigenfunctions. Available electronically from http : / /hdl .handle .net /1969 .1 /85733.

    DSpace software copyright © 2002-2016  DuraSpace
    Contact Us | Send Feedback
    Theme by 
    Atmire NV
     

     

    Advanced Search

    Browse

    All of OAKTrustCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsDepartmentThis CollectionBy Issue DateAuthorsTitlesSubjectsDepartment

    My Account

    LoginRegister

    Statistics

    View Usage Statistics
    Help and Documentation

    DSpace software copyright © 2002-2016  DuraSpace
    Contact Us | Send Feedback
    Theme by 
    Atmire NV