Publications related to Approximation of Non-decaying Signals from Shift-Invariant Subspaces

Characterization of the traces on the boundary of functions in magnetic Sobolev spaces

We characterize the trace of magnetic Sobolev spaces defined in a half-space or in a smooth bounded domain in which the magnetic field Ais differentiable and its exterior derivative corresponding to the magnetic field dAis bounded. In particular, we prove ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2020

MATHICSE Technical Report : Frequency-domain non-intrusive greedy Model Order Reduction based on minimal rational approximation

Fabio Nobile, Davide Pradovera

We present a technique for Model Order Reduction (MOR) of frequency-domain problems relying on rational interpolation of vector-valued functions. The selection of the sample points is carried out adaptively according to a greedy procedure. We describe seve ...

MATHICSE2020

Retroactive Packet Sampling for Traffic Receipts

Pavlos Nikolopoulos, Adrian Perrig, Christos Pappas

Is it possible to design a packet-sampling algorithm that prevents the network node that performs the sampling from treating the sampled packets preferentially? We study this problem in the context of designing a "network transparency" system. In this syst ...

ACM2019

Entropy Stable Essentially Nonoscillatory Methods Based On Rbf Reconstruction

Jan Sickmann Hesthaven, Fabian Mönkeberg

To solve hyperbolic conservation laws we propose to use high-order essentially nonoscillatory methods based on radial basis functions. We introduce an entropy stable arbitrary high-order finite difference method (RBF-TeCNOp) and an entropy stable second or ...

EDP Sciences2019

Analysis of Resonances in Periodic Metasurfaces through the Concept of Self-Coupling Mode

Kévin Müller

The concept of self-coupling modes, which are eigen-vectors of the roundtrip matrix, is introduced. I investigate its use for the identification and analysis of the resonances taking place in periodic metasurfaces. It also improves the interpolation of the ...

IEEE2019

Rethinking Sampling in Parallel MRI: A Data-Driven Approach

Volkan Cevher, Baran Gözcü, Thomas Sanchez

In the last decade, Compressive Sensing (CS) has emerged as the most promising, model-driven approach to accelerate MRI scans. CS relies on the key sparsity assumption and proposes random sampling for data acquisition. The practical CS approaches in MRI em ...

IEEE2019

Regularity results for rough solutions of the incompressible Euler equations via interpolation methods

Maria Colombo, Luigi Forcella, Luigi De Rosa

Given any solutionuof the Euler equations which is assumed to have some regularity in space-in terms of Besov norms, natural in this context-we show by interpolation methods that it enjoys a corresponding regularity in time and that the associated pressure ...

IOP2019

Distributed sampling for rational approximation of the acoustic scattering of an airfoil

Francesca Bonizzoni, Davide Pradovera

In this paper we compute a reduced order model for a time‐harmonic external acoustic scattering problem with parametric frequency. The employed technique is minimal rational interpolation, an explicit moment‐matching method for Hilbert space‐valued meromor ...

2019

Entropy stable essentially non-oscillatory methods based on RBF reconstructions

Jan Sickmann Hesthaven, Fabian Mönkeberg

To solve hyperbolic conservation laws on general grids we propose to use high-order essentially nonoscillatory methods based on radial basis functions. We introduce an entropy stable arbitrary high-order finite dierence method (RBF-TeCNOp) and an entropy s ...

2018

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function

u

in multivariate polynomial spaces

P_\Lambda:=span\{y\mapsto y^\nu \,: \, \nu\in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma:=[-1,1]^d

, based on the s ...

2017

Approximation of Non-decaying Signals from Shift-Invariant Subspaces

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Characterization of the traces on the boundary of functions in magnetic Sobolev spaces

MATHICSE Technical Report : Frequency-domain non-intrusive greedy Model Order Reduction based on minimal rational approximation

Retroactive Packet Sampling for Traffic Receipts

Entropy Stable Essentially Nonoscillatory Methods Based On Rbf Reconstruction

Analysis of Resonances in Periodic Metasurfaces through the Concept of Self-Coupling Mode

Rethinking Sampling in Parallel MRI: A Data-Driven Approach

Regularity results for rough solutions of the incompressible Euler equations via interpolation methods

Distributed sampling for rational approximation of the acoustic scattering of an airfoil

Entropy stable essentially non-oscillatory methods based on RBF reconstructions

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Analysis of Resonances in Periodic Metasurfaces through the Concept of Self-Coupling Mode

Entropy Stable Essentially Nonoscillatory Methods Based On Rbf Reconstruction

Rethinking Sampling in Parallel MRI: A Data-Driven Approach

Entropy stable essentially non-oscillatory methods based on RBF reconstructions

MATHICSE Technical Report : Frequency-domain non-intrusive greedy Model Order Reduction based on minimal rational approximation

Distributed sampling for rational approximation of the acoustic scattering of an airfoil

Retroactive Packet Sampling for Traffic Receipts

Characterization of the traces on the boundary of functions in magnetic Sobolev spaces

Regularity results for rough solutions of the incompressible Euler equations via interpolation methods

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension