[HTML][HTML] Optimization of transfinite interpolation of functions with bounded Laplacian by harmonic splines on box partitions
D Kuzmenko, D Skorokhodov - Journal of Approximation Theory, 2016 - Elsevier
We consider the problem of optimal transfinite interpolation of functions with the bounded
Laplacian by harmonic splines on box-partitions. For anisotropic partitions obtained from the …
Laplacian by harmonic splines on box-partitions. For anisotropic partitions obtained from the …
Sharp asymptotics of the Lp approximation error for interpolation on block partitions
Adaptive approximation (or interpolation) takes into account local variations in the behavior
of the given function, adjusts the approximant depending on it, and hence yields the smaller …
of the given function, adjusts the approximant depending on it, and hence yields the smaller …
On the Lp-error of adaptive approximation of bivariate functions by harmonic splines
Y Babenko, T Leskevich - Applicable Analysis, 2014 - Taylor & Francis
Interpolation by various types of splines is the standard procedure in many applications. In
this paper we discuss harmonic spline “interpolation”(on the lines of a grid) as an alternative …
this paper we discuss harmonic spline “interpolation”(on the lines of a grid) as an alternative …