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

Abstract

This interim report describes the following two projects carried out under an Air Force grant during the period May 1, 1984 - April 30, 1985: (a) Stability criteria for difference approximations to hyperbolic systems, and multiplicativity of matrix norms, by M. Goldberg; and (b) Problems in applied and computational linear algebra, by M. Marcus. 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.

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Document Details

Document Type
Technical Report
Publication Date
Aug 22, 1985
Accession Number
ADA161092

Entities

People

  • Marvin Marcus
  • Moshe Goldberg

Organizations

  • University of California, Santa Barbara

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Air Force
  • Algebra
  • Applied Mathematics
  • Boundaries
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Formulas (Mathematics)
  • Linear Algebra
  • Mathematics
  • Numerical Analysis
  • Theorems
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Clinical Trial Research.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)