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math.NA2026
Fast algorithms for interpolation with clamped -splines of order four
O. Kounchev, H. Render, G. Simeonov +1
Interpolation and smoothing using cubic and generalized splines are fundamental tools in data analysis and statistical modeling. Recently, fast computational algorithms were develo…
math.NA2022
Error estimates for harmonic and biharmonic interpolation splines with annular geometry
Ognyan Kounchev, Hermann Render, Tsvetomir Tsachev
The main result in this paper is an error estimate for interpolation biharmonic polysplines in an annulus , with respect to a partition by concentric a…
math.NA2020
Error bounds for interpolation with piecewise exponential splines of order two and four
Ognyan Kounchev, Hermann Render
Explicit pointwise error bounds for the interpolation of a smooth function by piecewise exponential splines of order four are given. Estimates known for cubic splines are extended…