Mathematics – Numerical Analysis
Scientific paper
2006-01-02
Mathematics
Numerical Analysis
9 pages, 7 figures
Scientific paper
We introduce a variational algorithm, which solves the classical inverse Sturm-Liouville problem when two spectra are given. In contrast to other approaches, it recovers the potential as well as the boundary conditions without a priori knowledge of the mean of the potential. Numerical examples show that the algorithm works quite reliable, even in the presence of noise. A proof of the absence of strict local minimizers of the functional supports the observation, that a good initial guess is not essential.
No associations
LandOfFree
Recovering boundary conditions in inverse Sturm-Liouville problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Recovering boundary conditions in inverse Sturm-Liouville problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Recovering boundary conditions in inverse Sturm-Liouville problems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-41587