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Shift-and-Inverse Lanczos Algorithm for Ideal MHD Stability Analysis
http://hdl.handle.net/10655/3072
http://hdl.handle.net/10655/30720a32fee5-e216-42dd-a648-c4c799d8d49e
Item type | 研究報告書 / Research Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2010-02-05 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Shift-and-Inverse Lanczos Algorithm for Ideal MHD Stability Analysis | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Lanczos recursion with no re-orthogonalization | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | shift-and-inverse Lanczos recursion | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Lanczos Phenomenon | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | gap stiffness | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | CAS3D2MN | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | CAS3D2MNvl | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_18ws | |||||
資源タイプ | research report | |||||
アクセス権 | ||||||
アクセス権 | metadata only access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||
著者 |
Chen, J.
× Chen, J.× Nakajima, N.× Okamoto, M. |
|||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | CAS3D and TERPSICHORE have been designed to analyze the global ideal MHD stability of three dimensional equilibria. Their critical part is t,o obtain the smallest eigenvalue and its corresponding eigenvector of a large but sparse real symmetric band matrix. In CAS3D the inverse iteration have been applied to do this and the spectral shift is computed by EISPACK eigensolver. It has been shown that application of such kind of software becomes very expensive in the sense of computational time and storage when matrix order and bandwidth become very large. Here this problem is resolved by using the Lanczos algorithm which is economical in CPU thne and storage and particularly suitable for very large scale problems. The version of CAS3D2MN with shift-and-inverse Lanczos algorithm is called CAS3D2MNvl. Practical calculations in CAS3D2MNvl indicate that the shift-and-inverse Lanczos recursion needs only 15 ~ 20 steps to calculate the smallest eigenvalue. The computation is reliable and efficient. The storage is much smaller and CPU time is saved significantly by 50 ~100 times compared with EISPACK subroutine. Finally the ballooning mode in three dimensional MHD equilibria has been mentioned briefly. | |||||
書誌情報 |
en : Research Report NIFS-Series 発行日 1997-11-01 |
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報告書番号 | ||||||
NIFS-518 | ||||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0915-633X |