论文标题
阻尼波算子的逆光谱问题
An inverse spectral problem for a damped wave operator
论文作者
论文摘要
本文提出了一种新的有效的数值算法，用于从抑制波动运算符的光谱中恢复阻尼系数，这是经典的Borg-Levinson逆光谱问题。该算法基于反转一系列痕迹公式，该序列是由递归公式推导的，该公式根据弗雷德霍尔姆积分方程明确地弥合了几何和光谱信息。提供了数值示例，以说明所提出的算法的效率。
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.
