
Accession Number : AD0738169
Title : Stable Matching of Difference Schemes.
Descriptive Note : Technical rept.,
Corporate Author : MICHIGAN UNIV ANN ARBOR DEPT OF MATHEMATICS
Personal Author(s) : Ciment,Melvyn
Report Date : FEB 1972
Pagination or Media Count : 22
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 LaxWendroff scheme. (Author)
Descriptors : (*BOUNDARY VALUE PROBLEMS, APPROXIMATION(MATHEMATICS)), (*DIFFERENCE EQUATIONS, NUMERICAL ANALYSIS), BOUNDARY VALUE PROBLEMS, PARTIAL DIFFERENTIAL EQUATIONS, STABILITY, PERTURBATION THEORY, CAUCHY PROBLEM
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE