A5022247002- Advanced Numerical Methods in Computational Mathematics
- Electromagnetic Simulation and Numerical Methods
- Historical and Religious Studies of Rome
- Numerical methods in engineering
- Numerical methods for differential equations
- Diverse academic and cultural studies
- Byzantine Studies and History
- Medieval and Early Modern Justice
- Advanced Numerical Analysis Techniques
- Libraries, Manuscripts, and Books
- Medieval Architecture and Archaeology
- Nonlinear Waves and Solitons
- Mathematical and Theoretical Analysis
- Medieval Literature and History
- Urban Planning and Valuation
- Analytic Number Theory Research
- Historical Studies and Socio-cultural Analysis
- Renaissance Literature and Culture
- Streptococcal Infections and Treatments
- Functional Equations Stability Results
- Iterative Methods for Nonlinear Equations
- Ophthalmology and Eye Disorders
- Mathematics and Applications
- Architecture and Art History Studies
- Italy: Economic History and Contemporary Issues
University of Bologna
2025
Polytechnic University of Turin
2020-2023
University of Turin
2022-2023
University of Trento
2021
Scuola Normale Superiore
2021
Turin Polytechnic University
2021
University of Namur
2021
Centre d'Etudes Supérieures de la Renaissance
2014-2017
Université de Poitiers
2012
During the 2022 winter, Europe experienced a surge in invasive group A streptococcal (iGAS) infections paediatric patients, accompanied by reports of severe complications such as cerebral venous sinus thrombosis (CVST). This study retrospectively analysed cases four patients with CVST secondary to otogenic due Streptococcus pyogenes, who were admitted between November and March 2023 at Bologna Ospedale Maggiore. All presented sepsis signs symptoms, imaging confirming CVST. Treatment included...
Abstract In this paper, we present a numerical method based on the coupling between Curved Virtual Element Method (CVEM) and Boundary (BEM) for simulation of wave fields scattered by obstacles immersed in homogeneous infinite media. particular, consider 2D time-domain damped equation, endowed with Dirichlet condition boundary (sound-soft scattering). To reduce domain to finite computational one, introduce an artificial which impose Integral Non-Reflecting Condition (BI-NRBC). We apply CVEM...
We consider the Helmholtz equation with a nonconstant coefficient, defined in unbounded domains external to 2D bounded ones, endowed Dirichlet condition on boundary and Sommerfeld radiation at infinity. To solve it, we reduce infinite region, which solution is defined, computational one, delimited by curved smooth artificial boundary, impose this latter nonreflecting of integral type. Then, apply virtual element method finite domain, combined one-equation boundary. present theoretical...
Abstract For the solution of 2D exterior Dirichlet Poisson problems, we propose coupling a Curved Virtual Element Method (CVEM) with Boundary (BEM), by using decoupled approximation orders. We provide optimal convergence error estimates, in energy and weaker $$\textit{L}^\text {2}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>L</mml:mi> <mml:mtext>2</mml:mtext> </mml:msup> </mml:math> -norm, which CVEM BEM contributions to are separated. This allows for...
We consider a family of conforming space-time finite element discretizations for the wave equation based on splines maximal regularity in time. Traditional techniques may require CFL condition to guarantee stability. Recent works by O. Steinbach and M. Zank (2018), S. Fraschini, G. Loli, A. Moiola, Sangalli (2023), have introduced unconditionally stable schemes adding non-consistent penalty terms underlying bilinear form. Stability error analysis been carried out lowest order discrete...
We consider a family of conforming space-time discretizations for the wave equation based on first-order-in-time formulation employing maximal regularity splines. In contrast with second-order-in-time formulations, which require CFL condition to guarantee stability, methods we here are unconditionally stable without need stabilization terms. Along lines work by M. Ferrari and S. Fraschini (2024), address stability analysis studying properties number matrices associated time discretization....
Abstract We consider the non-symmetric coupling of finite and boundary elements to solve second-order nonlinear partial differential equations defined in unbounded domains. present a novel condition that ensures associated semi-linear form induces strongly monotone operator, keeping track dependence on linear combination interior domain equation with integral one. show an optimal ellipticity condition, relating operator contraction constant shifted double-layer is guaranteed by choosing...
Lorsqu’on s’occupe de la critique des variantes italienne, il arrive souvent qu’on se refere a un article 1937, ecrit par Gianfranco Contini et intitule « Come lavorava l’Ariosto », comme etant points depart cette discipline l’epoque seulement naissante. En revanche, on fait moins mention l’ouvrage partir duquel avait developpe son discours : I frammenti autografi dell’Orlando Furioso Santorre Debenedetti, paru Turin meme annee chez l’editeur Gio...
La pratique du serment est un trait essentiel des communes italiennes leur origine, comme l’attestent nombre de documents et quelques rares representations figurees. A Brescia, le paix jure entre les factions citadines en 1298 sous l’arbitrage l’eveque Berardo Maggi fut peint dans palais communal sculpte sur tombeau prelat. reconstruction cadre historique institutionnel nous permettra saisir la valeur politique cet acte et, donc, ses transcriptions image.
The family of Shallit sequences consists the Lucas satisfying recurrence $U_{n+2}(k)=(4k+2)U_{n+1}(k) -U_n(k),$ with initial values $U_0(k)=0$ and $U_1(k)=1$ $k\ge 1$ arbitrary. For every fixed $k$ integers $\{U_n(k)\}_{n\ge 0}$ are distinct, hence for $n\ge there exists a smallest integer $D_k(n)$, called discriminator, such that $U_0(k),U_1(k),\ldots,U_{n-1}(k)$ pairwise incongruent modulo $D_k(n).$ In part I it was proved constant $n_k$ $D_{k}(n)$ has simple characterization n_k$. Here,...
In this paper, we propose and analyse a numerical method to solve 2D Dirichlet time-harmonic elastic wave equations. The procedure is based on the decoupling of vector field into scalar Pressure (P-) Shear (S-) waves via suitable Helmholtz–Hodge decomposition. For approximation two potentials apply virtual element associated with different mesh sizes degrees accuracy. We provide for stability convergence error estimate in L2-norm displacement field, which contributions P- S- are separated....