Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Huaxue Zhou
Pages: [21] - [33]
Received Date: September 18, 2017; Revised November 28, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_07100121872
The paper studies spherical polynomial approximation over spherical triangulation. We exhibit the error of the approximation of a sufficiently smooth function using the discrete and penalized least squares splines on the unit sphere and show the effect of grid size on the error of discrete least squares splines of the underlying triangulation. In addition, we also demonstrate that penalty parameters have an effect on the error of the penalized least squares spline from numerical experiments.
triangulation, spherical splines, least square spines, penalty parameters.
