On Iterative Process for The Boundary Value Methods
碩士 === 國立中正大學 === 應用數學研究所 === 94 === In this thesis, the matrix splitting scheme and iterative methods with relaxation have been studied in solving the initial value problems in odes by means of boundary value methods. In stead of obtaining the spectral radius of the iterative matrix, we have propos...
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ndltd-TW-094CCU055070052015-10-13T10:45:06Z http://ndltd.ncl.edu.tw/handle/86378886600222292418 On Iterative Process for The Boundary Value Methods 常微分方程邊界值方法疊代技巧的研究 Zhe-Kuang Liu 劉哲匡 碩士 國立中正大學 應用數學研究所 94 In this thesis, the matrix splitting scheme and iterative methods with relaxation have been studied in solving the initial value problems in odes by means of boundary value methods. In stead of obtaining the spectral radius of the iterative matrix, we have proposed a computational approach to determine whether the spectral radius is within one. Moreover, a range of relaxation factor could be estimated to provide the convergent and efficient iterative process, especially when the extended Trapezoidal typed of boundary value methods are implemented. Ching-An Wang 王慶安 2006 學位論文 ; thesis 31 en_US |
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NDLTD |
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en_US |
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Others
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NDLTD |
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碩士 === 國立中正大學 === 應用數學研究所 === 94 === In this thesis, the matrix splitting scheme and iterative methods
with relaxation have been studied in solving the initial value
problems in odes by means of boundary value methods. In stead of
obtaining the spectral radius of the iterative matrix, we have
proposed a computational approach to determine whether the
spectral radius is within one. Moreover, a range of relaxation
factor could be estimated to provide the convergent and efficient
iterative process, especially when the extended Trapezoidal typed
of boundary value methods are implemented.
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| author2 |
Ching-An Wang |
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Ching-An Wang Zhe-Kuang Liu 劉哲匡 |
| author |
Zhe-Kuang Liu 劉哲匡 |
| spellingShingle |
Zhe-Kuang Liu 劉哲匡 On Iterative Process for The Boundary Value Methods |
| author_sort |
Zhe-Kuang Liu |
| title |
On Iterative Process for The Boundary Value Methods |
| title_short |
On Iterative Process for The Boundary Value Methods |
| title_full |
On Iterative Process for The Boundary Value Methods |
| title_fullStr |
On Iterative Process for The Boundary Value Methods |
| title_full_unstemmed |
On Iterative Process for The Boundary Value Methods |
| title_sort |
on iterative process for the boundary value methods |
| publishDate |
2006 |
| url |
http://ndltd.ncl.edu.tw/handle/86378886600222292418 |
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