Refine
Has Fulltext
- no (41)
Year of publication
Document Type
- Article (41) (remove)
Language
- English (41) (remove)
Is part of the Bibliography
- yes (41)
Keywords
- discrepancy principle (3)
- Aerosols (2)
- Arctic haze (2)
- Lidar (2)
- aerosol (2)
- iterative regularization (2)
- lidar (2)
- logarithmic source condition (2)
- nonlinear operator (2)
- regularization (2)
Institute
In this paper a technique to obtain a first approximation for singular inverse Sturm-Liouville problems with a symmetrical potential is introduced. The singularity, as a result of unbounded domain (-infinity, infinity), is treated by considering numerically the asymptotic limit of the associated problem on a finite interval (-L, L). In spite of this treatment, the problem has still an ill-conditioned structure unlike the classical regular ones and needs regularization techniques. Direct computation of eigenvalues in iterative solution procedure is made by means of pseudospectral methods. A fairly detailed description of the numerical algorithm and its applications to specific examples are presented to illustrate the accuracy and convergence behaviour of the proposed approach.