An inverse spectral problem for a damped wave operator
Numerical Analysis
2020-08-12 v1 Numerical Analysis
Abstract
This paper proposes a new and efficient numerical algorithm for recovering the damping coefficient from the spectrum of a damped wave operator, which is a classical Borg-Levinson inverse spectral problem. The algorithm is based on inverting a sequence of trace formulas, which are deduced by a recursive formula, bridging geometrical and spectrum information explicitly in terms of Fredholm integral equations. Numerical examples are presented to illustrate the efficiency of the proposed algorithm.
Cite
@article{arxiv.2008.04523,
title = {An inverse spectral problem for a damped wave operator},
author = {Gang Bao and Xiang Xu and Jian Zhai},
journal= {arXiv preprint arXiv:2008.04523},
year = {2020}
}