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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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2006
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| Online Access: | http://ndltd.ncl.edu.tw/handle/86378886600222292418 |
| Summary: | 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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