Numerical algorithms for recovering a fractional Sturm-Liouville operator based on trace formulae

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-07 DOI:10.1007/s11075-024-01926-5

Xiaowen Li, Xiaoying Jiang, Xiang Xu

引用次数: 0

Abstract

This paper explores numerical methods for recovering a density term in a fractional Sturm-Liouville problem using a set of spectra. By applying Lidskii’s theorem, a sequence of trace formulae are derived to elucidate the connections between the unknown coefficients and the complex eigenvalues of a fractional spectra problem. Two efficient algorithms are proposed based on these trace formulae, and their effectiveness is demonstrated through numerical experiments.

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基于迹公式的分数斯特姆-利乌维尔算子恢复数值算法

本文探讨了利用一组谱恢复分数 Sturm-Liouville 问题中的密度项的数值方法。通过应用 Lidskii 定理，推导出一系列迹公式，以阐明未知系数与分数谱问题复特征值之间的联系。根据这些迹公式提出了两种高效算法，并通过数值实验证明了它们的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.