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    Interpolation with circular basis functions

    Hubbert, Simon and Muller, S. (2006) Interpolation with circular basis functions. Numerical Algorithms 42 (1), pp. 75-90. ISSN 1017-1398.

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    Abstract

    In this paper we consider basis function methods for solving the problem of interpolating data over distinct points on the unit circle. In the special case where the points are equally spaced we can appeal to the theory of circulant matrices which enables an investigation into the stability and accuracy of the method. This work is a further extension and application of the research of Cheney, Light and Xu ([W.A. Light and E.W. Cheney, J. Math. Anal. Appl., 168:110–130, 1992] and [Y. Xu and E.W. Cheney, Computers Math. Applic., 24:201–215, 1992]) from the early nineties.

    Metadata

    Item Type: Article
    School: Birkbeck Schools and Departments > School of Business, Economics & Informatics > Economics, Mathematics and Statistics
    Depositing User: Administrator
    Date Deposited: 17 Jul 2006
    Last Modified: 17 Apr 2013 12:32
    URI: http://eprints.bbk.ac.uk/id/eprint/392

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