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20182026
most citedDiscontinuous Galerkin Methods for Fisher-Kolmogorov Equation with Application to -Synuclein Spreading in Parkinson's Disease

27 citations · 57 across the 19 of their papers we have counts for

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Showing 2022 · math.NAShow all

5 papers · 2 filters

math.NA2022★ 1 cited

A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems

Francesca Bonizzoni, Moritz Hauck, Daniel Peterseim

This paper presents a method for the numerical treatment of reaction-convection-diffusion problems with parameter-dependent coefficients that are arbitrary rough and possibly varyi…

math.NA2022★ 1 cited

Uncertainty quantification in timber-like beams using sparse grids: theory and examples with off-the-shelf software utilization

Balduzzi Giuseppe, Bonizzoni Francesca, Tamellini Lorenzo

When dealing with timber structures, the characteristic strength and stiffness of the material are made highly variable and uncertain by the unavoidable, yet hardly predictable, pr…

math.NA2022★ 1 cited

A greedy MOR method for the tracking of eigensolutions to parametric elliptic PDEs

Moataz M. Alghamdi, Daniele Boffi, Francesca Bonizzoni

In this paper we introduce an algorithm based on a sparse grid adaptive refinement, for the approximation of the eigensolutions to parametric problems arising from elliptic partial…

math.NA2022

On the matching of eigensolutions to parametric partial differential equations

Moataz M. Alghamdi, Fleurianne Bertrand, Daniele Boffi +3

In this paper a novel numerical approximation of parametric eigenvalue problems is presented. We motivate our study with the analysis of a POD reduced order model for a simple one…

math.NA2022★ 2 cited

Super-localized orthogonal decomposition for convection-dominated diffusion problems

Francesca Bonizzoni, Philip Freese, Daniel Peterseim

This paper presents a multi-scale method for convection-dominated diffusion problems in the regime of large Péclet numbers. The application of the solution operator to piecewise co…