An Extension of the Kreiss Matrix Theorem.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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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.
- Theoretical Mathematics