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05/08/2023
Breaking quadrature exactness: A spectral method for the Allen–Cahn equation on spheres
We propose a novel spectral method for the Allen–Cahn equation on sphere...
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09/22/2022
Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere
This paper focuses on the approximation of continuous functions on the u...
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05/17/2022
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?
Singular and oscillatory functions feature in numerous applications. The...
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02/28/2022
On the quadrature exactness in hyperinterpolation
This paper investigates the role of quadrature exactness in the approxim...
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01/09/2022
Enhanced total variation minimization for stable image reconstruction
The total variation (TV) regularization has phenomenally boosted various...
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10/13/2021
The springback penalty for robust signal recovery
We propose a new penalty, named as the springback penalty, for construct...
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11/01/2020
Lasso hyperinterpolation over general regions
This paper develops a fully discrete soft thresholding polynomial approx...
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08/03/2020
Tikhonov regularization for polynomial approximation problems in Gauss quadrature points
This paper is concerned with the introduction of Tikhonov regularization...
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04/15/2019