H. Render

collaborators

3 papers

math.NA2026

Fast algorithms for interpolation with clamped $L$ -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.AP2026

The Dirichlet problem with entire data for non-hyperbolic quadratic hypersurfaces

J. M. Aldaz, H. Render

We show that for all homogeneous polynomials $f_{m}$ of degree $m$ , in $d$ variables, and each $j = 1, \dots, d$ , we have \begin{equation*} \left\langle x_{j}^{2}f_{m},f_{m}\righ…

math.AP2026

Fischer decompositions for entire functions of sufficiently low order

J. M. Aldaz, H. Render

The existence of decompositions of the form $f = P \cdot q + r$ with $P_{k}^{*} (D) r = 0$ , where $f$ is entire, $P$ a polynomial and $P_{k}^{*}$ the principal part of $P$ wi…

Fast algorithms for interpolation with clamped L-splines of order four

The Dirichlet problem with entire data for non-hyperbolic quadratic hypersurfaces

Fischer decompositions for entire functions of sufficiently low order

Fast algorithms for interpolation with clamped $L$ -splines of order four