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《Acta Scientiarum Naturalium Universitatis Sunyatseni》 2005-06
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Construction of Orthogonal Multiresolution Analysis Using Quadratic Fractal Interpolation Functions

DENG Xiao-yan,LONG Guang-qing(Department of Scientific Computing and Computer Application,Sun Yat-sen University,Guangzhou 510275,China)  
A method for constructing a continuous,supported and orthogonal scale functions using quadratic fractal(interpolation) functions is given,differing from orthogonal wavelets constructed by AFIFs,scale functions have(differentiability) and can be used to set up numerical scheme for differential equation.
【Fund】: 国家自然科学基金资助项目(10101031);; 广东省自然科学基金资助项目(04009794)
【CateGory Index】: O174.4
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【References】
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1 Jiao Jianli1,Feng Zhigang2,Hou Liying1(1.Shanghai Health Vocational & Technical College,Shanghai 200237,China;2.Faculty of Science,Jiangsu University,Zhenjiang 212013,Jiangsu,China);Property of fractal interpolation function(δ,γ)-variations on the rectangular grids[J];Journal of Xuzhou Normal University(Natural Science Edition);2011-01
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【Citations】
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1 ZHANG Bin, WANG Wei wei, SONG Guo xiang (School of Science, Xidian Univ., Xi'an 710071);A New Method for Constructing Scale Functions of Multiwavelets with Fractal Interpolation Functions[J];Chinese Journal of Engineering Mathematics;2002-01
【Co-citations】
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1 Zhang Bin Wang Jun-feng Song Guo-xiang (School of Science, Xidian University, Xi'an 710071, China);Using TST Constructing Biorthogonal Low Pass Multi-filters with Higher Approximation Order[J];Journal of Electronics and Information Technology;2003-12
2 DENG Xiao-yan1,LI He-long2(1.College of Basic Sciences,Huazhong Agriculture University,Wuhan 430070,China;2.School of Economic Business,South China University of Technology,Guangzhou 510006,China);A Note about the Estimates of Holder Exponents for Fractal Interpolation Function[J];Mathematica Applicata;2006-04
【Co-references】
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1 ZHANG Bin, WANG Wei wei, SONG Guo xiang (School of Science, Xidian Univ., Xi'an 710071);A New Method for Constructing Scale Functions of Multiwavelets with Fractal Interpolation Functions[J];Chinese Journal of Engineering Mathematics;2002-01
2 Yang Yidu (Guizhou Normal University)Lu Tao (Institute of Chengdu Computer Applications. Acaclemia Sinica)Shih Tsimin (The Hong Kong Polytechnic University);A POSTERIORI ERROR ESTIMATES IN GALERKIN METHOD FOR INTEGRAL EQUATION EIGENVALUE PROBLEMS[J];Numerical Mathematies A Journal of Chinese Universities;1998-04
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5 Lu Jianzhu (Department of Computer Science, Jinan University, Guangzhou, 510632);THE SMOOTHNESS OF FRACTAL FUNCTIONS AND ITS HLDER EXPONENTS[J];MATHEMATICA NUMERICA SINICA;2000-02
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7 HUANG Qiu-mei1 YANG Yi-du2 (1.LSEC,ICMSEC,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China)(2.Guizhou Normal University,Guiyang Guizhou 550001,China);Matlab Experiments on Extrapolations of Collocation Methods for Eigenvalue Problems of Fredholm Integral Equations[J];Mathematics in Practice and Theory;2007-11
8 DENG Xiao-yan 1,2,LONG Guang-qing 1,3 (1.Department of Scientific Computing and Computer Application,Sun Yat-sen Univ ersity,Guangzhou 510275,China;2.College of Basic Sciences,Huazhong Agriculture U niversity,Wuhan 430070,China;3.Department of Mathematics and Computer,Guangxi No rmal College,Nannin 530001,China);A Wavelet Based Numerical Method of Some Nonlinear Reaction-Diffusion Systems[J];Mathematica Applicata;2005-02
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10 LONG Guang-qing (Department of Scientific Computing and Computer Applications,Sun Yat-sen University,Guangzhou 510275,China);Fast Wavelet Petrov-Galerkin Methods for Singular Integral Equations[J];Acta Scientiarum Naturalium Universitatis Sunyatseni;2006-05
【Secondary Citations】
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1 Zhu Chunxi,Xu Changfa,Cai Chao,Pi Minghong (Mathematics Department, Huazhong University of Science and Technology, Wuhan 430074);CONSTRUCTION OF SYMMETRY AND ANTI-SYMMETRY MULTISCALING FUNCTIONS[J];Numerical Mathematies A Journal of Chinese Universities;2000-04
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