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    Convergence of Multilevel Stationary Gaussian Quasi-Interpolation

    Hubbert, Simon and Levesley, J. (2017) Convergence of Multilevel Stationary Gaussian Quasi-Interpolation. Technical Report. Birkbeck, University of London, London, UK.

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    In this paper we present a new multilevel quasi-interpolation algorithm for smooth periodic functions using scaled Gaussians as basis functions. Recent research in this area has focussed upon implementations using basis function with finite smoothness. In this paper we deliver a first error estimates for the multilevel algorithm using analytic basis functions. The estimate has two parts, one involving the convergence of a low degree polynomial truncation term and one involving the control of the remainder of the truncation as the algorithm proceeds. Thus, numerically one observes a convergent scheme. Numerical results suggest that the scheme converges much faster than the theory shows.


    Item Type: Monograph (Technical Report)
    Additional Information: Birkbeck Pure Mathematics Preprint Series #34
    Keyword(s) / Subject(s): Graph polynomials, Counting Complexity, Chromatic Polynomial
    School: Birkbeck Faculties and Schools > Faculty of Business and Law > Birkbeck Business School
    Depositing User: Administrator
    Date Deposited: 22 Mar 2019 13:16
    Last Modified: 02 Aug 2023 17:49


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