Reconstruction techniques for classical inverse Sturm-Liouville problems Academic Article uri icon

abstract

  • This paper gives constructive algorithms for the classical inverse Sturm-Liouville problem. It is shown that many of the formulations of this problem are equivalent to solving an overdetermined boundary value problem for a certain hyperbolic operator. Two methods of solving this latter problem are then provided, and numerical examples are presented. © 1992 American Mathematical Society.

altmetric score

  • 2.5

author list (cited authors)

  • Rundell, W., & Sacks, P. E.

citation count

  • 117

publication date

  • January 1992