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4TH-ORDER SPLINE WAVELETS ON A BOUNDED INTERVAL

4TH-ORDER SPLINE WAVELETS ON A BOUNDED INTERVAL
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摘要 The 4th-order spline wavelets an 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. Arty 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. The 4th-order spline wavelets an 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. Arty 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第4期437-446,共10页 应用数学和力学(英文版)
关键词 B-SPLINE WAVELET bounded interval B-spline wavelet bounded interval
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