10 citations · 10 across the 4 of their papers we have counts for
8 papers
Tchebycheffian B-splines in isogeometric Galerkin methods
Krunal Raval, Carla Manni, Hendrik Speleers
Tchebycheffian splines are smooth piecewise functions whose pieces are drawn from (possibly different) Tchebycheff spaces, a natural generalization of algebraic polynomial spaces.…
ExSpliNet: An interpretable and expressive spline-based neural network
Daniele Fakhoury, Emanuele Fakhoury, Hendrik Speleers
In this paper we present ExSpliNet, an interpretable and expressive neural network model. The model combines ideas of Kolmogorov neural networks, ensembles of probabilistic trees,…
On the matrices in B-spline collocation methods for Riesz fractional equations and their spectral properties
Mariarosa Mazza, Marco Donatelli, Carla Manni +1
In this work, we focus on a fractional differential equation in Riesz form discretized by a polynomial B-spline collocation method. For an arbitrary polynomial degree , we show…
A general class of smooth rational splines: Application to construction of exact ellipses and ellipsoids
Hendrik Speleers, Deepesh Toshniwal
In this paper, we describe a general class of smooth rational splines that enables, in particular, exact descriptions of ellipses and ellipsoids - some of the most important…
Adaptive refinement with locally linearly independent LR B-splines: Theory and applications
Francesco Patrizi, Carla Manni, Francesca Pelosi +1
In this paper we describe an adaptive refinement strategy for LR B-splines. The presented strategy ensures, at each iteration, local linear independence of the obtained set of LR B…
A Tchebycheffian extension of multi-degree B-splines: Algorithmic computation and properties
Rene R. Hiemstra, Thomas J. R. Hughes, Carla Manni +2
In this paper we present an efficient and robust approach to compute a normalized B-spline-like basis for spline spaces with pieces drawn from extended Tchebycheff spaces. The exte…