L-splines interpolation differential operators of order 4
Issue Date:
2-Feb-2022
Publisher:
"Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences
Citation:
Kounchev, O., Render, H., Tsachev, T., “L-Spline Interpolation for Differential Operators of Order 4 with Constant Coefficients ”, C. R. Acad. Bulg. Sci. , vol. 75, no. 1, pp. 11–18
Series/Report no.:
Comptes rendus de l'Académie bulgare des Sciences;75(1)
Abstract:
In this paper it is shown that many features from polynomial spline methods used in nonparametric regression and smoothing procedures carry over to the class of L-splines where L is a linear differential operator of order 4 with constant coefficients. Special attention is given to the question whether an analogue of the Reinsch algorithm is valid and criteria are given such that the associated matrix R is strictly diagonal dominant.
