DocumentCode :
2988852
Title :
The numerical method of the dynamic stability differential equations based on quasi wavelet
Author :
Wang, She-liang ; Ma, Qian-ying ; Zhu, Jun-qiang ; Zhang, Cheng-zhong
Author_Institution :
Coll. of Civil Eng., Xi´´an Univ. of Archit. & Technol., Xi´´an
Volume :
2
fYear :
2008
fDate :
30-31 Aug. 2008
Firstpage :
687
Lastpage :
691
Abstract :
The research of dynamic stability involve some subjects, and it is a new research developed recent decades. It is very complex of its instability mechanization because of it is a nonlinear differential equation, so it has not achieve a common view. Wavelets analysis can solve many difficult problems that Fourier analysis can not solve, which has become a new bench developing rapidly in mathematical field. It is an innovation of the tools and methods for research recently, and becomes the focus of many subjects. The numerical method based on quasi wavelets is a new numerical method that has not only the high accuracy of global methods but also the flexibility of local methods. So it is very good for the numerical solution of nonlinear partial equations. The numerical method based on quasi wavelets is a new means of study the numerical solution of the dynamic stability differential equations.
Keywords :
nonlinear differential equations; numerical stability; wavelet transforms; dynamic stability differential equations; instability mechanization; nonlinear differential equation; nonlinear partial equations; quasi wavelet; wavelets analysis; Convolution; Differential equations; Discrete wavelet transforms; Educational institutions; Fourier transforms; Nonlinear equations; Pattern analysis; Pattern recognition; Stability analysis; Wavelet analysis; Criterion; Dynamic Stability; Quasi Wavelets;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-2238-8
Electronic_ISBN :
978-1-4244-2239-5
Type :
conf
DOI :
10.1109/ICWAPR.2008.4635867
Filename :
4635867
Link To Document :
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