Topic
Monotone cubic interpolation
About: Monotone cubic interpolation is a research topic. Over the lifetime, 1740 publications have been published within this topic receiving 38111 citations.
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01 Dec 2006
TL;DR: It is shown that the frequency response is asymptotically equivalent to the ideal sine interpolation, and that the periodic RBF network is closer to the ideals than the cubic spline and Lanczos interpolations.
Abstract: A periodic radial basis function (RBF) network based on the regularisation approach is proposed. The periodic RBF network can eliminate the Gibbs phenomenon observed in the conventional RBF network at the boundary of the data. For the evaluation of the interpolation capability, the frequency response of the periodic RBF network is analysed. It is then theoretically shown that the frequency response is asymptotically equivalent to the ideal sinc interpolation, and that the RBF interpolation is closer to the ideal sinc interpolation than the cubic spline and Lanczos interpolations.
8 citations
TL;DR: Stability analysis of the numerical method based on parametric cubic splines for solving the cubic nonlinear Schrodinger equation has been carried out and the method is shown to be unconditionally stable.
8 citations
TL;DR: In this paper, the problem of deriving accurate end conditions for cubic spline interpolation at equally spaced knots was considered and a number of end conditions which lead to derivative approximations of high accuracy was derived.
8 citations
TL;DR: In this article, it was shown that the Hermite-Birkhoff spline interpolation problem is poised, provided that the knots of the spline and the interpolation points interlace properly.
8 citations
10 Jul 2014
TL;DR: In this article, a smooth curve interpolation scheme for positive data is developed, which uses rational cubic Ball representation and conditions are derived for preserving positivity and C1 continuity for a number of numerical experiments.
Abstract: A smooth curve interpolation scheme for positive data is developed. Conditions have been incorporated into this scheme to preserve the shape of the data lying above a line. This scheme uses rational cubic Ball representation. Conditions are derived for preserving positivity and C1 continuity. The outputs from a number of numerical experiments are presented.
8 citations