Differential eigenvalue problems in which the parameter appears nonlinearly

T. J. Bridges, Philip John Morris

Research output: Contribution to journalArticlepeer-review

172 Scopus citations

Abstract

Several methods are examined for determining the eigenvalues of a system of equations in which the parameter appears nonlinearly. The equations are the result of the discretization of differential eigenvalue problems using a finite Chebyshev series. Two global methods are considered which determine the spectrum of eigenvalues without an initial estimate. A local iteration scheme with cubic convergence is presented. Calculations are performed for a model second order differential problem and the Orr-Sommerfeld problem for plane Poiseuille flow.

Original languageEnglish (US)
Pages (from-to)437-460
Number of pages24
JournalJournal of Computational Physics
Volume55
Issue number3
DOIs
StatePublished - Jan 1 1984

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Differential eigenvalue problems in which the parameter appears nonlinearly'. Together they form a unique fingerprint.

Cite this