非线性泛函微分与泛函方程数值方法的稳定性分析.pdf

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2010–4–30
Stability Analysis of Numerical Methods for Nonlinear
Functional Differential and Functional Equations
Candidate Zhongyan Liu
Supervisor Professor Yuexin Yu
College Mathematics putational Science
putational Mathematics
Specialization Theory and Application of Numerical
Methods for Stiff Differential Equations
Degree Master of Science
University Xiangtan University
Date April 30th, 2010



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Abstract
Functional differential equations(FDEs) arise widely in the fields of biology,
control theory, physics, chemistry, economics and so on. It is meaningful to in-
vestigate the theory and application of numerical methods for FDEs. In recent 30
years, the theory putational methods for FDEs has been widely discussed by
many author