Accession Number : ADA185824

Title :   Stability Analysis of Finite Difference Schemes for Hyperbolic Systems, and Problems in Applied and Computational Linear Algebra.

Descriptive Note : Interim rept. 1 May 86-30 Apr 87,

Corporate Author : CALIFORNIA UNIV SANTA BARBARA ALGEBRA INST

Personal Author(s) : Marcus, Marvin ; Goldberg, Moshe

Report Date : 19 JUN 1987

Pagination or Media Count : 42

Abstract : Two projects are described: (a) Stability criteria for difference approximations to hyperbolic systems, and multiplicativity of matrix norms; and (b) Problems in applied and computational linear algebra. The aim of these projects was to achieve better understanding of useful computational techniques for hyperbolic initial-boundary value problems, and to improve basic mathematical tools often used in numerical analysis and applied mathematics.

Descriptors :   *FINITE DIFFERENCE THEORY, *LINEAR ALGEBRA, APPLIED MATHEMATICS, APPROXIMATION(MATHEMATICS), BOUNDARY VALUE PROBLEMS, COMPUTATIONS, HYPERBOLAS, MATHEMATICAL MODELS, NUMERICAL ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, STABILITY.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE