Distributional Convergence of BDF (Backward Differentiation Formulas) Approximations to Solutions of Descriptor Systems.

Abstract

It has been frequently observed that the backward differentiation approximation of the solutions of Ex' + Fx = f can fail to converge even pointwise in an initial boundary layer. This note shows that the approximations converge in a distributional sense even if the exact solution is also distributional. Keywords: Matrices; Convergence; Approximation.

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Document Details

Document Type
Technical Report
Publication Date
Nov 10, 1987
Accession Number
ADA190819

Entities

People

  • Stephen L. Campbell

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Boundaries
  • Boundary Layer
  • Convergence
  • Delta Functions
  • Equations
  • Human Behavior
  • Layers
  • Mathematics
  • North Carolina
  • Notation
  • Scientific Research
  • Security
  • Sequences
  • Transfer Functions

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra