Mathematics – Numerical Analysis
Scientific paper
2011-01-14
Mathematics
Numerical Analysis
Scientific paper
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.
Babenko Yuliya
Leskevich Tatyana
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