Stable Matching of Difference Schemes.
Abstract
Approximations that result from the natural matching of two stable dissipative difference schemes across a coordinate line are shown to be stable. The basic ideas is to reformulate the matching scheme consistent to an equivalent initial boundary value problem and verify the algebraic conditions for stability of such systems. An interesting comparison to the above result is the case of redefinition of a scheme at a single point. In particular, the author shows that some unstable perturbations do not upset the stability of the Lax-Wendroff scheme. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1972
- Accession Number
- AD0738169
Entities
People
- Melvyn Ciment
Organizations
- University of Michigan