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4th-order spline wavelets on a bounded interval

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Abstract

The4th-order spline wavelets on a bounded interval are constructed by the4th-order truncated B-spline functions. These wavelets consist of inner and boundary wavelets. They are bases of wavelet space with finite dimensions. Any function on an interval will be expanded as the sum of finite items of the scaling functions and wavelets. It plays an important role for numerical analysis of partial differential equations, signal processes, and other similar problems.

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Authors and Affiliations

  1. Department of Civil Engineering, Zhejiang University of Technology, 310014, Hangzhou, P R China

    Duan Jiwei Associate Professor, Doctor

  2. Department of Civil Engineering, The University of Hong Kong, Hong Kong, P R China

    Peter Kai-kwong Lee

Authors
  1. Duan Jiwei Associate Professor, Doctor
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  2. Peter Kai-kwong Lee
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Communicated by Wu Qiguang

Biography: Duan Jiwei (1964-)

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Jiwei, D., Lee, P.Kk. 4th-order spline wavelets on a bounded interval. Appl Math Mech 21, 437–446 (2000). https://doi.org/10.1007/BF02463766

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  • DOI: https://doi.org/10.1007/BF02463766

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