Hendrik Speleers

Orcid: 0000-0003-4110-3308

According to our database1, Hendrik Speleers authored at least 57 papers between 2006 and 2024.

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

Timeline

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Bibliography

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