3 citations · 4 across the 12 of their papers we have counts for
13 papers
When algebra twinks system biology: a conjecture on the structure of Gröbner bases in complex chemical reaction networks
Paola Ferrari, Sara Sommariva, Michele Piana +2
We address the challenge of identifying all real positive steady states in chemical reaction networks (CRNs) governed by mass-action kinetics. Traditional numerical methods often r…
Dense cell-by-cell systems of PDEs: approximation, spectral analysis, and preconditioning
Pietro Benedusi, Paola Ferrari, Marius Causemann +1
In the present study, we consider the Extra-Membrane-Intra model (EMI) for the simulation of excitable tissues at the cellular level. We provide the (possibly large) system of part…
Analysis on aggregation and block smoothers in multigrid methods for block Toeplitz linear systems
Matthias Bolten, Marco Donatelli, Paola Ferrari +1
We present novel improvements in the context of symbol-based multigrid procedures for solving large block structured linear systems. We study the application of an aggregation-base…
Flipped structured matrix-sequences in image deblurring with general boundary conditions
Paola Ferrari, Isabella Furci, Stefano Serra-Capizzano
Motivated by a recent work on a preconditioned MINRES for flipped linear systems in imaging, in this note we extend the scope of that research for including more precise boundary c…
Modeling excitable cells with the EMI equations: spectral analysis and iterative solution strategy
Pietro Benedusi, Paola Ferrari, Marie Rognes +1
In this work, we are interested in solving large linear systems stemming from the Extra-Membrane-Intra (EMI) model, which is employed for simulating excitable tissues at a cellular…
Symmetrization Techniques in Image Deblurring
Marco Donatelli, Paola Ferrari, Silvia Gazzola
This paper presents a couple of preconditioning techniques that can be used to enhance the performance of iterative regularization methods applied to image deblurring problems with…
Symbol based convergence analysis in multigrid methods for saddle point problems
Matthias Bolten, Marco Donatelli, Paola Ferrari +1
Saddle point problems arise in a variety of applications, e.g., when solving the Stokes equations. They can be formulated such that the system matrix is symmetric, but indefinite,…
Asymptotic spectra of large (grid) graphs with a uniform local structure (part II): numerical applications
Andrea Adriani, Davide Bianchi, Paola Ferrari +1
In the current work we are concerned with sequences of graphs having a grid geometry, with a uniform local structure in a bounded domain , . When $Ω…
Symbol based Convergence Analysis in Block Multigrid Methods with Applications for Stokes Problems
Marco Donatelli, Matthias Bolten, Paola Ferrari +1
The main focus of this paper is the study of efficient multigrid methods for large linear systems with a particular saddle-point structure. Indeed, when the system matrix is symmet…
A symbol based analysis for multigrid methods for Block-Circulant and Block-Toeplitz Systems
Matthias Bolten, Marco Donatelli, Paola Ferrari +1
In the literature, there exist several studies on symbol-based multigrid methods for the solution of linear systems having structured coefficient matrices. In particular, the conve…
Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix-sequences
Paola Ferrari, Isabella Furci, Stefano Serra-Capizzano
In recent years, motivated by computational purposes, the singular value and spectral features of the symmetrization of Toeplitz matrices generated by a Lebesgue integrable functio…
Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications
Marco Donatelli, Paola Ferrari, Isabella Furci +2
In the past decades, multigrid methods for linear systems having multilevel Toeplitz coefficient matrices with scalar entries have been largely studied. On the other hand, only few…
The eigenvalue distribution of special -by- block matrix sequences, with applications to the case of symmetrized Toeplitz structures
Paola Ferrari, Isabella Furci, Sean Hon +2
Given a Lebesgue integrable function over , we consider the sequence of matrices , where is the -by- Toeplitz matrix generated by an…