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dc.contributor.author | Jiang, Xiaoying | en |
dc.contributor.author | Xu, Xiang | en |
dc.date.accessioned | 2021-06-29T08:24:06Z | - |
dc.date.available | 2021-06-29T08:24:06Z | - |
dc.date.issued | 2021-02 | - |
dc.identifier.uri | http://hdl.handle.net/2433/263961 | - |
dc.description.abstract | In this paper, an efficient algorithm for recovering a density of Sturm-Liouville operator from given two spectra is investigated. Based on Lidskii's theorem and Mercer's theorem, we build a sequence of trace formulae which bridge explicitly the density and eigenvalues in terms of nonlinear Fredholm integral equations. Due to intrinsic difficulties on ill-posedness of an inverse spectral problem, a truncated Fourier series regularization method is utilized for reconstructing the unknown density. Moreover, shifted Legendre polynomials are carried to balance the different order of trace formulae. Numerical results are presented to illustrated the effectiveness and stability of the proposed reconstruction algorithm. | en |
dc.language.iso | eng | - |
dc.publisher | 京都大学数理解析研究所 | ja |
dc.publisher.alternative | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.subject | lnvesre Sturm-Liouville Problem | en |
dc.subject | Trace formulae | en |
dc.subject | Line search Newton-like Method | en |
dc.subject | 45C305 | en |
dc.subject | 34L16 | en |
dc.subject.ndc | 410 | - |
dc.title | An inversion algorithm for recovering a coefficient of Sturm-Liouville operator (Analysis of inverse problems through partial differential equations and related topics) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AN00061013 | - |
dc.identifier.jtitle | 数理解析研究所講究録 | ja |
dc.identifier.volume | 2174 | - |
dc.identifier.spage | 115 | - |
dc.identifier.epage | 128 | - |
dc.textversion | publisher | - |
dc.sortkey | 13 | - |
dc.address | School of Mathematical Sciences, Zhejiang University | en |
dc.address | School of Mathematical Sciences, Zhejiang University | en |
dcterms.accessRights | open access | - |
dc.identifier.pissn | 1880-2818 | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku | en |
出現コレクション: | 2174 偏微分方程式による逆問題解析とその周辺 |
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