
Accession Number : ADA132644
Title : InitialBoundary Value Problems for Linear Hyperbolic Systems.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Higdon,Robert L
PDF Url : ADA132644
Report Date : Aug 1983
Pagination or Media Count : 75
Abstract : We discuss and interpret a theory developed by Kreiss and others for studying the suitability of boundary conditions for linear hyperbolic systems of partial differential equations. The existing theory is extremely technical. The present discussion is based on the characteristic variety of the system. The concept of characteristic variety leads to: (1) a physical interpretation of the theory in terms of wave propagation; (2) a physical and geometrical method for visualizing the algebraic structure of the system. The great complexity of the theory is caused by certain aspects of this structure. We also point out connections between the above work and a corresponding theory regarding the stability of finite difference approximations. (Author)
Descriptors : *Boundary value problems, *Linear differential equations, *Partial differential equations, Linear systems, Hyperbolas, Finite difference theory, Approximation(Mathematics), Stability, Wave propagation, Algebra, Geometry, Fourier transformation, Laplace transformation
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE