Title page for etd-0802115-040628


[Back to Results | New Search]

URN etd-0802115-040628
Author Sen Wang
Author's Email Address No Public.
Statistics This thesis had been viewed 5385 times. Download 0 times.
Department Applied Mathematics
Year 2014
Semester 2
Degree Master
Type of Document
Language English
Title On the Increasingly Flat Radial Basis Function for the Elliptic Eigenmodes Problem
Date of Defense 2015-07-31
Page Count 62
Keyword
  • Radial Basis Function
  • Eigenmode problem
  • RBF Limit
  • Poisson equation
  • Elliptic operators
  • Abstract Although an elliptic operator eigenmode problem can solve easily by using lots of method. In this thesis, we want to show the significance of mathematics that for eigenmodes problem using the RBF collocation method converges to that of using increasingly flat radial basis functions when ε goes to 0 in 2D. First, we use radial basis functions (RBFs) to solve eigenmodes problem for elliptic operator by converting the eigenmodes problem to an eigenpairs problem of a finite dimensional matrix. And then formulate RBF interpolation polynomials as eigenfunctions, and proved this result converges to the solution obtained by using increasingly flat RBFs. And conclude that two approaches merge when RBFs are getting flatter. The results are supported by numerical examples.
    Advisory Committee
  • Tzon-Tzer Lu - chair
  • Chien-Chou Tseng - co-chair
  • Tsung-Lin Lee - co-chair
  • Chieh-Sen Huang - advisor
  • Files
  • etd-0802115-040628.pdf
  • Indicate in-campus at 99 year and off-campus access at 99 year.
    Date of Submission 2015-09-02

    [Back to Results | New Search]


    Browse | Search All Available ETDs

    If you have more questions or technical problems, please contact eThesys