Accession Number:

ADA230543

Title:

Stability Analysis of Finite Difference Approximations to Hyperbolic Systems,and Problems in Applied and Computational Matrix and Operator Theory

Descriptive Note:

Final rept. 1 May 1988-30 Nov 1990

Corporate Author:

CALIFORNIA UNIV SANTA BARBARA CENTER FOR COMPUTATIONAL SCIENCES AND ENGINEERING

Personal Author(s):

• Goldberg, Moshe
• Marcus, Marvin

Report Date:

1990-12-07

Pagination or Media Count:

83.0

Abstract:

This report describes research in the following areas Convenient stability criteria for difference approximations to hyperbolic initial-boundary value problems Multiplicativity and stability of matrix and operator norms Hadamard Products and Powers Inequalities for Tensors Inequalities for Generalized Matrix Functions Inequalities for Eigenvalues and Singular Values Distance Matrices Numerical Range Determinants of Sums.

Descriptors:

• *HYPERBOLAS
• THEORY
• NUMERICAL ANALYSIS
• EIGENVALUES
• FINITE DIFFERENCE THEORY
• BOUNDARY VALUE PROBLEMS
• TENSORS
• VALUE
• OPERATORS(MATHEMATICS)
• STABILITY
• APPROXIMATION(MATHEMATICS)

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE