Collocation Approximation to Eigenvalues of an Ordinary Differential Equation: Numerical Illustrations.
Abstract
We display the numerical results associated with the collocation of three eigenvalue problems using from one to four Gauss points per partition interval in order to document the sharpness of the error bounds we have previously obtained. The ordinary differential operators involved are real with constant coefficients; two of the problems have an eigenvalue whose ascent exceeds one. We propose an explanation for the observed manner in which a set of simple approximate eigenvalues can approach a single multiple eigenvalue. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1980
- Accession Number
- ADA089633
Entities
People
- Blair Swartz
- Carl R. de Boor
Organizations
- University of Wisconsin–Madison