The Gaussian wave packet transform via quadrature rules
نویسندگان
چکیده
Abstract We analyse the Gaussian wave packet transform. Based on Fourier inversion formula and a partition of unity, which is formed by collection basis functions, new representation square-integrable functions presented. Including rigorous error analysis, variants transform are then derived discretization integral via different quadrature rules. Gauss–Hermite quadrature, we introduce packets in number significantly reduced. Numerical experiments 1D illustrate theoretical results.
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ژورنال
عنوان ژورنال: Ima Journal of Numerical Analysis
سال: 2023
ISSN: ['1464-3642', '0272-4979']
DOI: https://doi.org/10.1093/imanum/drad049