| 延拓法在计算高阶折叠点的直接方法中的应用 |
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| 引用本文： | 杨忠华. 延拓法在计算高阶折叠点的直接方法中的应用[J]. 计算数学, 1988, 10(1): 6-17 |
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| 作者姓名： | 杨忠华 |
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| 作者单位： | 上海科学技术大学 |
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| 摘 要： | 高阶折叠点的计算产生于两参数非线性问题这里λ,μ∈R,u∈Banach空间X,f是R×R×X→X的C~3非线性映照. 近年来,两参数非线性问题有越来越多的实际应用,例如化学放热反应中的引燃问题:
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THE APPLICATION OF THE CONTINUATION METHOD IN THE DIRECT METHOD FOR COMPUTING HIGHER ORDER FOLDS |
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| Affiliation: | Yang zhong-hua Shanghai University of Science and technology |
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| Abstract: | This paper is an improvement and supplement to [8]. We combine the algorithm in [8]with the continuation method for computing the higher order folds with singularity. The com-bination algorithm is applied successfully to the thermal ignition problem in the exothermicreaction. |
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