English

The Gel'fand-Levitan-Krein method and the globally convergent method for experimental data

Mathematical Physics 2013-03-19 v1 math.MP

Abstract

Comparison of numerical performances of two methods for coefficient inverse problems is described. The first one is the classical Gel'fand-Levitan-Krein equation method, and the second one is the recently developed approximately globally convergent numerical method. This comparison is performed for both computationally simulated and experimental data.

Keywords

Cite

@article{arxiv.1303.3941,
  title  = {The Gel'fand-Levitan-Krein method and the globally convergent method for experimental data},
  author = {Andrey L. Karchevsky and Michael V. Klibanov and Lam Nguyen and Natee Pantong and Anders Sullivan},
  journal= {arXiv preprint arXiv:1303.3941},
  year   = {2013}
}