[00326] Estimating the lowest-order eigenvalue in Sturm-Liouville boundary value problem
Session Time & Room : 4E (Aug.24, 17:40-19:20) @G401
Type : Contributed Talk
Abstract : We investigate a special case of the Sturm–Liouville boundary value problem $($BVP$)$ and examine the BVP in the
Schrödinger form. By considering a reciprocal quadratic form of the corresponding invariant function, we estimate the
lowest-order eigenvalue without solving the eigenvalue problem but by utilizing the localized landscape and effective
potential functions. Some combinations of parameter values yield poor spectrum estimates. Other combinations are
satisfactorily although the values tend to overestimate results from numerical computations.