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05/03/2023
Extraction and application of super-smooth cubic B-splines over triangulations
The space of C^1 cubic Clough-Tocher splines is a classical finite eleme...
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11/28/2022
Tchebycheffian B-splines in isogeometric Galerkin methods
Tchebycheffian splines are smooth piecewise functions whose pieces are d...
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05/03/2022
ExSpliNet: An interpretable and expressive spline-based neural network
In this paper we present ExSpliNet, an interpretable and expressive neur...
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10/15/2021
Construction of C^2 cubic splines on arbitrary triangulations
In this paper, we address the problem of constructing C^2 cubic spline f...
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06/28/2021
On the matrices in B-spline collocation methods for Riesz fractional equations and their spectral properties
In this work, we focus on a fractional differential equation in Riesz fo...
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06/07/2021
Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations
We show that isogeometric Galerkin discretizations of eigenvalue problem...
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05/24/2021
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates
In this paper we construct Ritz-type projectors with boundary interpolat...
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01/31/2021
Computation of multi-degree Tchebycheffian B-splines
Multi-degree Tchebycheffian splines are splines with pieces drawn from e...
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12/06/2020
A general class of C^1 smooth rational splines: Application to construction of exact ellipses and ellipsoids
In this paper, we describe a general class of C^1 smooth rational spline...
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07/26/2020
Best low-rank approximations and Kolmogorov n-widths
We relate the problem of best low-rank approximation in the spectral nor...
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01/30/2020
Adaptive refinement with locally linearly independent LR B-splines: Theory and applications
In this paper we describe an adaptive refinement strategy for LR B-splin...
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01/22/2020
A Tchebycheffian extension of multi-degree B-splines: Algorithmic computation and properties
In this paper we present an efficient and robust approach to compute a n...
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09/08/2019