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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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73 citations
TL;DR: A collocation finite difference scheme based on new cubic trigonometric B-spline is developed and analyzed for the numerical solution of a one-dimensional hyperbolic equation (wave equation) with non-local conservation condition and is shown to be unconditionally stable using the von Neumann (Fourier) method.
72 citations
TL;DR: In this article, the authors construct branched coverings such as matings and captures to describe the dynamics of every critically finite cubic Newton map, and give a combinatorial model of the set of cubic Newton maps as the gluing of a subset of cubic polynomials with a part of the filled Julia set of a specific polynomial.
Abstract: We construct branched coverings such as matings and captures to describe the dynamics of every critically finite cubic Newton map. This gives a combinatorial model of the set of cubic Newton maps as the gluing of a subset of cubic polynomials with a part of the filled Julia set of a specific polynomial (Figure 1).
72 citations
TL;DR: In this article, the authors adapt to the spherical case the basic theory and the computational method known from surface spline interpolation in Euclidean spaces, which is made simple and efficient for numerical computation.
72 citations
72 citations