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The paper “The Gaussian wave packet remodel through quadrature guidelines“, co-authored by Paul Bergold and Caroline Lasser (TU Munich), has been printed within the IMA Journal of Numerical Evaluation. Based mostly on the Fourier inversion components and a partition of unity, a brand new illustration of square-integrable capabilities is introduced. Together with a rigorous error evaluation, the variants of the wave packet remodel are then derived by a discretisation of the Fourier integral through totally different quadrature guidelines. Numerical experiments illustrate the speculation. The printed paper is out there (hyperlink right here). The arXiv model can be out there (hyperlink right here). The screenshot beneath reveals Determine 1 from the paper.
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