On the L_p-error of approximation of bivariate functions by harmonic splines
classification
🧮 math.NA
keywords
harmonicinterpolationsplinesapproximationdiscusserrorgridspline
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Interpolation by various types of splines is the standard procedure in many applications. In this paper we shall discuss harmonic spline "interpolation" (on the lines of a grid) as an alternative to polynomial spline interpolation (at vertices of a grid). We will discuss some advantages and drawbacks of this approach and present the asymptotics of the $L_p$-error for adaptive approximation by harmonic splines.
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