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THE CONSTRUCTION OF ORTHOGONAL WAVELET BASIS ON[0,1] AND NUMERICAL SIMULATION

THE CONSTRUCTION OF ORTHOGONAL WAVELET BASIS ON [0, 1] AND NUMERICAL SIMULATION
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摘要 In this paper, we show the construction of orthogonal wavelet basis on the interval [0, 1],using compactly supportted Daubechies function. Forwardly, we suggest a kind of method to deal with the differential operator in view of numerical analysis and derive the appoximation algorithm of wavelet ba-sis and differential operator, which affects on the basis, to functions belonging to L2 [0, 1 ]. Numerical computation indicate the stability and effectiveness of the algorithm. In this paper, we show the construction of orthogonal wavelet basis on the interval [0, 1],using compactly supportted Daubechies function. Forwardly, we suggest a kind of method to deal with the differential operator in view of numerical analysis and derive the appoximation algorithm of wavelet ba-sis and differential operator, which affects on the basis, to functions belonging to L2 [0, 1 ]. Numerical computation indicate the stability and effectiveness of the algorithm.
出处 《Wuhan University Journal of Natural Sciences》 CAS 1998年第4期406-406,共1页 武汉大学学报(自然科学英文版)
关键词 multiresolution analysis wavelet orthogonal basis differential operator numerical simulation multiresolution analysis,wavelet orthogonal basis,differential operator, numerical simulation
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