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

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.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1983
Accession Number
ADA133654

Entities

People

  • Henryk Minc
  • Marvin Marcus
  • Morris Newman
  • Moshe Goldberg
  • Robert C. Thompson

Organizations

  • University of California, Santa Barbara

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Algebra
  • Boundaries
  • Boundary Value Problems
  • Cauchy Problem
  • Differential Equations
  • Eigenvalues
  • Equations
  • Functional Analysis
  • Linear Algebra
  • Mathematics
  • Number Theory
  • Numbers
  • Numerical Analysis
  • Theorems
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra