Accessible Requires Authentication Published by De Gruyter December 4, 2007

On the numerical solution of a semilinear elliptic eigenproblem of Lane–Emden type, II: Numerical experiments

F. J. Foss, R. Glowinski and R. H. W. Hoppe
From the journal

In this second part of our two-part article, we present and discuss the corresponding numerical results from implementations of the numerical algorithms described in the first part. With these results, we observed that

• operator splitting applied to the associated time-dependent problem is suitable for solving only the first eigenproblem,

• among those tried, the perturbation and arclength continuation approach was the sole effective and robust approach for solving higher eigenproblems,

• on the eigenproblems for which (undamped or damped) Newton's method converged, it was without question the most efficient.


This work was supported by NSF grant DMS 0412267.


Received: 2007-February-22
Revised: 2007-May-05
Published Online: 2007-12-04
Published in Print: 2007-11-20

© de Gruyter 2007