On the Stability of Block Predictor-Corrector Methods with Self-Correcting Process
碩士 === 國立中正大學 === 數學研究所 === 90 === Abstract In this thesis, we are interested in studying the configuration of stability regions of numerical schemes when solving an initial value problem in ODEs. By applying the predictor-corrector scheme with repeated correcting processes, th...
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2002
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ndltd-TW-090CCU004790072015-10-13T17:34:58Z http://ndltd.ncl.edu.tw/handle/10368565886066258176 On the Stability of Block Predictor-Corrector Methods with Self-Correcting Process 區域預測自我修正法穩定性問題之探討 Sunny Wu 吳山林 碩士 國立中正大學 數學研究所 90 Abstract In this thesis, we are interested in studying the configuration of stability regions of numerical schemes when solving an initial value problem in ODEs. By applying the predictor-corrector scheme with repeated correcting processes, the variation of stability region could be changed drastically. We propose a delicate algorithm on which the boundary of the stability region could be located efficiently. By using the algorithm, the stability of some block predictor-corrector schemes with repeated self-correction process have been studied. Moreover, some incorrect results of optimal stability intercept in some literatures have also been found. Key words: Block predictor-corrector Methods, Absolute Stability, Self-Correction Process Ching-An Wang 王慶安 2002 學位論文 ; thesis 48 zh-TW |
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碩士 === 國立中正大學 === 數學研究所 === 90 === Abstract
In this thesis, we are interested in studying the configuration of stability regions of numerical schemes when solving an initial value problem in ODEs. By applying the predictor-corrector scheme with repeated correcting processes, the variation of stability region could be changed drastically. We propose a delicate algorithm on which the boundary of the stability region could be located efficiently. By using the algorithm, the stability of some block predictor-corrector schemes with repeated self-correction process have been studied. Moreover, some incorrect results of optimal stability intercept in some literatures have also been found.
Key words:
Block predictor-corrector Methods, Absolute Stability, Self-Correction Process
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| author2 |
Ching-An Wang |
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Ching-An Wang Sunny Wu 吳山林 |
| author |
Sunny Wu 吳山林 |
| spellingShingle |
Sunny Wu 吳山林 On the Stability of Block Predictor-Corrector Methods with Self-Correcting Process |
| author_sort |
Sunny Wu |
| title |
On the Stability of Block Predictor-Corrector Methods with Self-Correcting Process |
| title_short |
On the Stability of Block Predictor-Corrector Methods with Self-Correcting Process |
| title_full |
On the Stability of Block Predictor-Corrector Methods with Self-Correcting Process |
| title_fullStr |
On the Stability of Block Predictor-Corrector Methods with Self-Correcting Process |
| title_full_unstemmed |
On the Stability of Block Predictor-Corrector Methods with Self-Correcting Process |
| title_sort |
on the stability of block predictor-corrector methods with self-correcting process |
| publishDate |
2002 |
| url |
http://ndltd.ncl.edu.tw/handle/10368565886066258176 |
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