@article{AltundagBoeckmannTaseli2015,
  author    = {Altundag, H{\"u}seyin and B{\"o}ckmann, Christine and Taseli, Hasan},
  title     = {Inverse Sturm-Liouville problems with pseudospectral methods},
  series = {International journal of computer mathematics},
  volume    = {92},
  journal   = {International journal of computer mathematics},
  number    = {7},
  publisher = {Routledge, Taylor \& Francis Group},
  address   = {Abingdon},
  issn      = {0020-7160},
  doi       = {10.1080/00207160.2014.939646},
  pages     = {1373 -- 1384},
  year      = {2015},
  abstract  = {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.},
  language  = {en}
}