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

摘要

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 observedthat 1. operator splitting applied to the associated time-dependent problem is suitable for solving only the first eigenproblem,2.among those tried, the perturbation and arclength continuation approach was the sole effective and robust approach for solving higher eigenproblems,3.on the eigenproblems for which (undamped or damped) Newton's method converged, it was without question the most efficient.