Numerical Experiments and Structural Transformation of NonLinear Evolution in Illposed Systems Numerical Experiments and Structural Transformation of Non Linear Evolution in Ill posed Systems期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Numerical Experiments and Structural Transformation of NonLinear Evolution in Illposed Systems

引用本文：	OuYang Shoucheng,Wang Liuran. Numerical Experiments and Structural Transformation of NonLinear Evolution in Illposed Systems[J]. 中国工程科学, 2007, 5(3): 57-63

作者姓名：	OuYang Shoucheng Wang Liuran

摘要：	Numerical experiments on nonlinear equations of the 1st and 3rdorder derivatives have been carried out through structural analyses in the phase space according to the numerical instability of illposed systems, with changes of initial values and parameters, etc.. The results show that the quantitative instability in an illposed system may reveal reversed transformation in system evolution by structural representation, and confirm A·Dauglas’ theorem that “a nonlinear equation does not satisfy the existence of the initial value in a linear wellposed system”.
关键词：	nonlinearity illposed systems instability of quantity reversed transformation curvature
Numerical Experiments and Structural Transformation of Non Linear Evolution in Ill posed Systems

OuYang Shoucheng and Wang Liuran. Numerical Experiments and Structural Transformation of Non Linear Evolution in Ill posed Systems[J]. Engineering Sciences, 2007, 5(3): 57-63

Authors:	OuYang Shoucheng and Wang Liuran

Affiliation:	Chengdu University of Information and Technology,610041, China;

Abstract:

Keywords:	non linearity ill posed systems instability of quantity reversed transformation curvature

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