Displaying similar documents to “Approximation in L... Sobolev Spaces on the 2-Sphere by Quasi-Interpolation.”

Geodesic metrics for RBF approximation of some physical quantities measured on sphere

Karel Segeth (2024)

Applications of Mathematics

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The radial basis function (RBF) approximation is a rapidly developing field of mathematics. In the paper, we are concerned with the measurement of scalar physical quantities at nodes on sphere in the 3D Euclidean space and the spherical RBF interpolation of the data acquired. We employ a multiquadric as the radial basis function and the corresponding trend is a polynomial of degree 2 considered in Cartesian coordinates. Attention is paid to geodesic metrics that define the distance of...