Quadratic stable wavelet bases on general meshes |
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Institution: | Department of Mathematics, Syracuse University, Syracuse, NY 13244-1150, USA |
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Abstract: | In this paper, we construct stable wavelet bases with piecewise quadratic functions for certain Sobolev spaces on non-uniform meshes. These wavelets have small support with 4 or 6 non-zero coefficients. Furthermore, a simple method is developed for verifying the global stability of wavelets derived from refinable functions with a complicated structure. |
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