An Extension of the Kreiss Matrix Theorem.
Abstract
A new condition is shown to be equivalent to the other conditions of the Kreiss Matrix Theorem for power bounded families of matrices. This new condition is important for the application of the theory of pseudo-difference operators to stability estimates for variable coefficient finite difference equations. As an example of the usefulness of this new condition, we use it to prove stability of the leap frog scheme for hyperbolic equations with variable coefficients.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1986
- Accession Number
- ADA172779
Entities
People
- Bruce A. Wade
- John C. Strikwerda
Organizations
- University of Wisconsin–Madison