Eigenvalue Problems on Infinite Intervals.

Abstract

This paper is concerned with eigenvalue problems for boundary value problems of ordinary differential equations posed on an infinite interval. Problems of that kind occur for example in fluid mechanics when the stability of laminar flows is investigated. Characterizations of eigenvalues and spectral subspaces are given and the convergence of approximating problems which are derived by reducing the infinite interval to a finite but large one and by imposing additional boundary conditions at the far end is proved. Exponential convergence is shown for a large class of problems. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1980
Accession Number
ADA096669

Entities

People

  • Peter A. Markowich

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Value Problems
  • Computational Science
  • Contour Integrals
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Fluid Mechanics
  • Materials
  • Mathematics
  • Sequences
  • United States

Fields of Study

  • Mathematics

Readers

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