Paper of Paul Bergold on the Gaussian wave packet published in an IMA Journal

The paper “The Gaussian wave packet transform via quadrature rules“, co-authored by Paul Bergold and Caroline Lasser (TU Munich), has been published in the IMA Journal of Numerical Analysis. Based on the Fourier inversion formula and a partition of unity, a new representation of square-integrable functions is presented. Including a rigorous error analysis, the variants of the wave packet transform are then derived by a discretisation of the Fourier integral via different quadrature rules. Numerical experiments illustrate the theory. The published paper is available (link here). The arXiv version is also available (link here). The screenshot below shows Figure 1 from the paper.