On the Stability of Predictor-Corrector Methods with Linear Combination Update
碩士 === 國立中正大學 === 數學研究所 === 90 === The process of linear combination was originally introduced to extend the absolute stability intercept for the predictor-corrector (PC) methods. In this thesis, we present the limiting behavior of some one-dimensional PC...
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| Format: | Others |
| Language: | en_US |
| Published: |
2002
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| Online Access: | http://ndltd.ncl.edu.tw/handle/74291506504254891569 |
| Summary: | 碩士 === 國立中正大學 === 數學研究所 === 90 === The process of linear combination was originally introduced to extend
the absolute stability intercept for the predictor-corrector (PC) methods. In
this thesis, we present the limiting behavior of some one-dimensional PC
schemes with the linear combination update. By applying the root-locus
plot, the corresponding with stability regions of various LC update
process are successfully obtained. Especially for the schemes on the
parallel clustering computation platform,our simulation results show
that ,the suitable linear combination will improve the efficiency in
solving the problem with complex eigenvalues.
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