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

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.

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Document Details

Document Type
Technical Report
Publication Date
Dec 07, 1990
Accession Number
ADA230543

Entities

People

  • Marvin Marcus
  • Moshe Goldberg

Organizations

  • University of California, Santa Barbara

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computer Science
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Fluid Mechanics
  • Linear Algebra
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Theorems

Fields of Study

  • Mathematics

Readers

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