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Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (4): 437-446.

• 论文 • 上一篇    下一篇

4TH-ORDER SPLINE WAVELETS ON A BOUNDED INTERVAL

段继伟1, 李启光2   

  1. 1. Department of Civil Engineering, Zhejiang University of Technology, Hangzhou 310014, P. R. China;
    2. Department of Civil Engineering, The University of Hong Kong, Hong Kong, P. R. China
  • 收稿日期:1997-09-22 修回日期:1998-09-10 出版日期:2000-04-18 发布日期:2000-04-18

4TH-ORDER SPLINE WAVELETS ON A BOUNDED INTERVAL

Duan Jiwei1, Peter Kai-kwong Lee2   

  1. 1. Department of Civil Engineering, Zhejiang University of Technology, Hangzhou 310014, P. R. China;
    2. Department of Civil Engineering, The University of Hong Kong, Hong Kong, P. R. China
  • Received:1997-09-22 Revised:1998-09-10 Online:2000-04-18 Published:2000-04-18

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摘要： The 4th-order spline wavelets on a bounded interval are constructed by the 4th-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.

Abstract: The 4th-order spline wavelets on a bounded interval are constructed by the 4th-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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