AWavelet-based Method for Overcoming the Gibbs Phenomenon
نویسنده
چکیده
Abstract: The Gibbs phenomenon refers to the lack of uniform convergence which occurs in many orthogonal basis approximations to piecewise smooth functions. This lack of uniform convergence manifests itself in spurious oscillations near the points of discontinuity and a low order of convergence away from the discontinuities. Here we describe a numerical procedure for overcoming the Gibbs phenomenon called the inverse wavelet reconstruction method. The method takes the Fourier coef cients of an oscillatory partial sum and uses them to construct the wavelet coef cients of a non-oscillatory wavelet series.
منابع مشابه
Multiresolution Inverse Wavelet Reconstruction from a Fourier Partial Sum
The Gibbs phenomenon refers to the lack of uniform convergence which occurs in many orthogonal basis approximations to piecewise smooth functions. This lack of uniform convergence manifests itself in spurious oscillations near the points of discontinuity and a low order of convergence away from the dis-continuities. In previous work [11,12] we described a numerical procedure for overcoming the ...
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