23 October 1996 Wavelets for electronics structure calculations
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We report on wavelet compression of a 1D prototype benchmark problem of sufficient complexity to capture the features of 3D quantum electronics structure calculations. These problems have a multi-scale character through the presence of a set of singularities corresponding to atomic nuclei. Theoretical estimates of asymptotic decay across scales are derived and verified numerically. In addition, we study the effects of the location of singularity on the accuracy of the compression and on scaling.
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Mary E. Brewster, Mary E. Brewster, George I. Fann, George I. Fann, } "Wavelets for electronics structure calculations", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); doi: 10.1117/12.255296; https://doi.org/10.1117/12.255296

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