| A partial inverse nodal problem for Sturm-Liouville operators on star-shaped graphs. | |
|---|---|
| 學年 | 114 |
| 學期 | 2 |
| 出版(發表)日期 | 2026-02-05 |
| 作品名稱 | A partial inverse nodal problem for Sturm-Liouville operators on star-shaped graphs. |
| 作品名稱(其他語言) | |
| 著者 | Ni Haoze; Shieh Chung-Tsun; Tsai Tzong-Mo; Wang Yu Ping |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Results in Mathematics 81 , p. 42 |
| 摘要 | In this paper, the authors presented a numerical scheme and experiments for the inverse nodal problem for the Sturm-Liouville operator on star-shaped graphs. Additionally, we investigate the convergence analysis of the approximate solutions and provide error estimates. As an application of the numerical methods, we derive a new uniqueness theorem for the potentials of the Sturm-Liouville operator, based on parts of the nodal set and a constant. A novel aspect of this study is the application of numerical methods to this problem. |
| 關鍵字 | Boundary value problem; inverse problem; potential; spectral data. |
| 語言 | en |
| ISSN | |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | Yu Ping Wang |
| 審稿制度 | 否 |
| 國別 | DEU |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/129257 ) |
| SDGS | 優質教育,夥伴關係 |