APPLICATION OF WAVELET THEORY IN RESEARCH

Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (5): 662-.

• Articles • Previous Articles Next Articles

APPLICATION OF WAVELET THEORY IN RESEARCH

ZHANG Hong, ZHANG Xuan-Bing, GE Xiu-Run

1. School of Remote Sensing and Information Engineering, Wuhan University, Wuhan 430079, P.R. China;
2. College of Civil Engineering and Architecture, Fuzhou University, Fuzhou 350002, P.R. China;
3. Wuhan Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, P.R. China

Received:2003-11-08 Revised:2004-12-31 Online:2005-05-03 Published:2005-05-03
Contact: ZHANG Hong E-mail:hongzhangwh@163.corn

Abstract

Abstract: Multiresolution analysis of wavelet theory can give an effective way to describe the information at various levels of approximations or different resolutions, based on spline wavelet analysis, so weight function is orthonomaally projected onto a sequence of closed spline subspaces, and is viewed at various levels of approximations or different resolutions. Now, the useful new way to research weight function is found, and the numerical result is given.

Key words: meshless method, weight function, spline wavelet, multiresolution analysis, value mapping, H-stability, H-equivalence

ZHANG Hong;ZHANG Xuan-Bing;GE Xiu-Run. APPLICATION OF WAVELET THEORY IN RESEARCH. Applied Mathematics and Mechanics (English Edition), 2005, 26(5): 662-.

TrendMD

[1]	Linchong CHEN, Xiaolin LI. Meshless acoustic analysis using a weakly singular Burton-Miller boundary integral formulation [J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(12): 1897-1914.
[2]	Dan XIE, Kailin JIAN, Weibin WEN. Global interpolating meshless shape function based on generalized moving least-square for structural dynamic analysis [J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(9): 1153-1176.
[3]	CHEN Ai-Jun;CAO Jun-Jun. Analysis of dynamic stress intensity factors of three-point bend specimen containing crack [J]. Applied Mathematics and Mechanics (English Edition), 2011, 2(32): 203-210.
[4]	R.A.MASHIYEV;G.ALISOY;S.OGRAS. Solutions to semilinear p-Laplacian Dirichlet problem in population dynamics [J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(2): 247-254.
[5]	XIANG Jia-Wei;CHEN Xue-Feng;LI Xi-Kui. Numerical solution of Poisson equation with wavelet bases of Hermite cubic splines on the interval [J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(10): 1325-1334.
[6]	ZHANG Xiao-hua;OUYANG Jie;WANG Jian-yu. Stabilization meshless method for convection-dominated problems [J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(8): 1067-1075 .
[7]	FU Dong-jie;CHEN Hai-bo;ZHANG Pei-qiang. Improved non-singular local boundary integral equation method [J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(8): 1093-1099 .
[8]	Arif Rafiq;Nazir Ahmad Mir;Farooq Ahmad. Weighted Cebysev-Ostrowski type inequalities [J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(7): 901-906 .
[9]	MIAO Yu;WANG Yuan-han. MESHLESS ANALYSIS FOR THREE-DIMENSIONAL ELASTICITY WITH SINGULAR HYBRID BOUNDARY NODE METHOD [J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(5): 673-681 .
[10]	LI Ting. SET VALUE MAPPING AND ITS APPLICATION [J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(2): 263-268 .
[11]	YUAN Wei-ran;CHEN Pu;LIU Kai-xin. HIGH PERFORMANCE SPARSE SOLVER FOR UNSYMMETRICAL LINEAR EQUATIONS WITH OUT-OF-CORE STRATEGIES AND ITS APPLICATION ON MESHLESS METHODS [J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(10): 1339-1348 .
[12]	CHEN Ai-jun;ZENG Wen-ji. WEIGHT FUNCTION FOR STRESS INTENSITY FACTORS IN ROTATING THICK-WALLED CYLINDER [J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(1): 29-35 .
[13]	ZHANG Zhi-qian;ZHOU Jin-xiong;WANG Xue-ming;ZHANG Yan-fen;ZHANG Ling. h-ADAPTIVITY ANALYSIS BASED ON MULTIPLE SCALE REPRODUCING KERNEL PARTICLE METHOD [J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(8): 1064-1071 .
[14]	ZENG Qing-hong;LU De-tang. GALERKIN MESHLESS METHODS BASED ON PARTITION OF UNITY QUADRATURE [J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(7): 893-899 .
[15]	YANG Rui-liang;WANG Hong-zhen. A NOVEL ELLIPSOIDAL ACOUSTIC INFINITE ELEMENT [J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(2): 261-268 .

APPLICATION OF WAVELET THEORY IN RESEARCH

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments