Hendrik Speleers

Orcid: 0000-0003-4110-3308

According to our database1, Hendrik Speleers authored at least 65 papers between 2006 and 2026.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2026
On the expressivity of the ExSpliNet KAN model.
J. Comput. Appl. Math., 2026

2025
Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions.
Numerische Mathematik, August, 2025

On the normalization of trigonometric and hyperbolic B-splines.
CoRR, August, 2025

Study and Use of Spectral Symbol Properties for Isogeometric Matrices on Trimmed Geometries.
Numer. Linear Algebra Appl., February, 2025

Quadrature rules for splines of high smoothness on uniformly refined triangles.
Math. Comput., 2025

A C1 simplex-spline basis for the Alfeld split in Rs.
Comput. Aided Geom. Des., 2025

2024
A local simplex spline basis for <i>C</i><sup>3</sup> quartic splines on arbitrary triangulations.
Appl. Math. Comput., February, 2024

A parsimonious approach to C<sup>2</sup> cubic splines on arbitrary triangulations: Reduced macro-elements on the cubic Wang-Shi split.
CoRR, 2024

Using Geometric Symmetries to Achieve Super-Smoothness for Cubic Powell-Sabin Splines.
CoRR, 2024

Maximally smooth cubic spline quasi-interpolants on arbitrary triangulations.
Comput. Aided Geom. Des., 2024

2023
Extraction and application of super-smooth cubic B-splines over triangulations.
Comput. Aided Geom. Des., June, 2023

On the matrices in B-spline collocation methods for Riesz fractional equations and their spectral properties.
Numer. Linear Algebra Appl., January, 2023

2022
Algorithm 1020: Computation of Multi-Degree Tchebycheffian B-Splines.
ACM Trans. Math. Softw., 2022

ExSpliNet: An interpretable and expressive spline-based neural network.
Neural Networks, 2022

Ritz-type projectors with boundary interpolation properties and explicit spline error estimates.
Numerische Mathematik, 2022

Construction of $$C^2$$ Cubic Splines on Arbitrary Triangulations.
Found. Comput. Math., 2022

Tchebycheffian B-splines in isogeometric Galerkin methods.
CoRR, 2022

2021
Best Low-rank Approximations and Kolmogorov n-widths.
SIAM J. Matrix Anal. Appl., 2021

Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision.
J. Comput. Appl. Math., 2021

Construction of C<sup>2</sup> cubic splines on arbitrary triangulations.
CoRR, 2021

Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations.
CoRR, 2021

Computation of multi-degree Tchebycheffian B-splines.
CoRR, 2021

A General Class of C1 Smooth Rational Splines: Application to Construction of Exact Ellipses and Ellipsoids.
Comput. Aided Des., 2021

2020
A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties.
SIAM J. Numer. Anal., 2020

Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis.
Numerische Mathematik, 2020

NURBS in isogeometric discretization methods: A spectral analysis.
Numer. Linear Algebra Appl., 2020

A general class of C<sup>1</sup> smooth rational splines: Application to construction of exact ellipses and ellipsoids.
CoRR, 2020

Adaptive refinement with locally linearly independent LR B-splines: Theory and applications.
CoRR, 2020

A Tchebycheffian extension of multi-degree B-splines: Algorithmic computation and properties.
CoRR, 2020

Multi-degree B-splines: Algorithmic computation and properties.
Comput. Aided Geom. Des., 2020

2019
Algorithm 999: Computation of Multi-Degree B-Splines.
ACM Trans. Math. Softw., 2019

An immersed-isogeometric model: Application to linear elasticity and implementation with THBox-splines.
J. Comput. Appl. Math., 2019

Tchebycheffian spline spaces over planar T-meshes: Dimension bounds and dimension instabilities.
J. Comput. Appl. Math., 2019

2018
Are the eigenvalues of the B-spline isogeometric analysis approximation of -Δu = λu known in almost closed form?
Numer. Linear Algebra Appl., 2018

Three recipes for quasi-interpolation with cubic Powell-Sabin splines.
Comput. Aided Geom. Des., 2018

2017
Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis.
SIAM J. Numer. Anal., 2017

Spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness.
Numerische Mathematik, 2017

Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods.
Math. Comput., 2017

Construction and analysis of cubic Powell-Sabin B-splines.
Comput. Aided Geom. Des., 2017

Splines over regular triangulations in numerical simulation.
Comput. Aided Des., 2017

Hierarchical spline spaces: quasi-interpolants and local approximation estimates.
Adv. Comput. Math., 2017

2016
Effortless quasi-interpolation in hierarchical spaces.
Numerische Mathematik, 2016

Spectral analysis and spectral symbol of matrices in isogeometric collocation methods.
Math. Comput., 2016

On the dimension of Tchebycheffian spline spaces over planar T-meshes.
Comput. Aided Geom. Des., 2016

Generalized spline spaces over T-meshes: Dimension formula and locally refined generalized B-splines.
Appl. Math. Comput., 2016

2015
Optimizing domain parameterization in isogeometric analysis based on Powell-Sabin splines.
J. Comput. Appl. Math., 2015

Two-grid optimality for Galerkin linear systems based on B-splines.
Comput. Vis. Sci., 2015

Isogeometric collocation methods with generalized B-splines.
Comput. Math. Appl., 2015

A new B-spline representation for cubic splines over Powell-Sabin triangulations.
Comput. Aided Geom. Des., 2015

BS2 methods for semi-linear second order boundary value problems.
Appl. Math. Comput., 2015

2014
On the spectrum of stiffness matrices arising from isogeometric analysis.
Numerische Mathematik, 2014

Convexity preserving C 0 splines.
Adv. Comput. Math., 2014

Strongly stable bases for adaptively refined multilevel spline spaces.
Adv. Comput. Math., 2014

2013
Multivariate normalized Powell-Sabin B-splines and quasi-interpolants.
Comput. Aided Geom. Des., 2013

2012
THB-splines: The truncated basis for hierarchical splines.
Comput. Aided Geom. Des., 2012

Local Hierarchical h-Refinements in IgA Based on Generalized B-Splines.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2012

2011
On multivariate polynomials in Bernstein-Bézier form and tensor algebra.
J. Comput. Appl. Math., 2011

Convexity preserving splines over triangulations.
Comput. Aided Geom. Des., 2011

2010
A normalized basis for reduced Clough-Tocher splines.
Comput. Aided Geom. Des., 2010

A normalized basis for quintic Powell-Sabin splines.
Comput. Aided Geom. Des., 2010

Nonnegativity preserving macro-element interpolation of scattered data.
Comput. Aided Geom. Des., 2010

2009
Quasi-hierarchical Powell-Sabin B-splines.
Comput. Aided Geom. Des., 2009

2008
On the Local Approximation Power of Quasi-Hierarchical Powell-Sabin Splines.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2008

2007
Weight control for modelling with NURPS surfaces.
Comput. Aided Geom. Des., 2007

2006
Local subdivision of Powell-Sabin splines.
Comput. Aided Geom. Des., 2006


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