Accession Number : ADA133654

Title :   Stability Analysis for Difference Schemes, Problems in Applied Linear Algebra, and Application of Number Theory to Computing.

Descriptive Note : Final scientific rept. 1 Oct 79-30 Apr 83,

Corporate Author : CALIFORNIA UNIV SANTA BARBARA INST FOR THE INTERDISCIPLINARY APPLICATIONS OF ALGEBRA AND COMBINATORICS

Personal Author(s) : Goldberg,Moshe ; Marcus,Marvin ; Minc,Henryk ; Newman,Morris ; Thompson,Robert C

PDF Url : ADA133654

Report Date : Jul 1983

Pagination or Media Count : 42

Abstract : Document describes research consisting mainly of the following topics: (1) Convenient stability criteria for finite difference approximations to hyperbolic initial-boundary value problems: theory and applications. (2) Operator norms, matrix norms, and multiplicativity. (3) Generalizations of the Perron-Frobenius Theorem and localization of eigenvalues with maximal absolute value.

Descriptors :   *Finite difference theory, *Stability, Partial differential equations, Approximation(Mathematics), Air Force research, Boundary value problems, Linear algebra, Eigenvalues, Number theory, Computations

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE