The purpose of this workshop is to explore recent trends and directions in the area of time discretization for the solution of evolutionary partial differential equations with particular application to high-order methods for hyperbolic systems with source and advection-diffusion-reaction equations. Special emphasis will be put on efficient time-stepping methods such as implicit- explicit (IMEX), semi-implicit, strong stability preserving (SSP) and asymptotic preserving time discretizations.

https://www.dma.unina.it/pdetd25

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Avviso di Seminario
Nell’ambito delle attività del progetto EBRAINS-Italy, il giorno lunedì 20 maggio dalle ore 15:00 alle ore 16:00, nell’aula Professori II livello, la dott.ssa Simona Olmi dell’Istituto dei Sistemi Complessi – Consiglio Nazionale delle Ricerche, terrà il seminario:
Relaxation oscillations in next-generation neural masses
with spike-frequency adaptation
Abstract: Spike-frequency adaptation (SFA) is a fundamental neuronal mechanism taking into account the fatigue due to spike emissions and the consequent reduction of the firing activity. We have studied the effect of this adaptation mechanism on the macroscopic dynamics of excitatory and inhibitory networks of quadratic integrate-and-fire neurons coupled via exponentially decaying post-synaptic potentials. In particular, we have studied the population activities by employing an exact mean-field reduction, which gives rise to next-generation neural mass models. This low-dimensional reduction allows for the derivation of bifurcation diagrams and the identification of the possible macroscopic regimes emerging both in a single and in two identically coupled neural masses. In single populations SFA favors the emergence of population bursts in excitatory networks, while it hinders tonic population spiking for inhibitory ones. The symmetric coupling of two neural masses, in absence of adaptation, leads to the emergence of macroscopic solutions with broken symmetry, namely, chimera-like solutions in the inhibitory case and antiphase population spikes in the excitatory one. The addition of SFA leads to new collective dynamical regimes exhibiting cross-frequency coupling among the fast synaptic timescale and the slow adaptation one, ranging from antiphase slow-fast nested oscillations to symmetric and asymmetric bursting phenomena. In a PING configuration, where SFA affects the excitatory population only, it is possible to observe the emergence of relaxation oscillations due to the interplay between the nonlinear dynamics of the firing rate and the self-inhibition modulated by SFA. A characterization of Up and Down states, together with that of the spike adding process, is provided in the PING configuration for different parameters.

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AVVISO di WORKSHOP

Dipartimento di Matematica e Applicazioni “R. Caccioppoli”

Università degli Studi di Napoli Federico II

Il giorno 20 maggio 2025, alle ore 15:30, in aula T09 del complesso universitario di M. S. Angelo, il prof. Alessandro Ramploud, dell’Università di Bergamo, e la prof.ssa Silvia Funghi, dell’Università di Genova, terranno un workshop dal titolo

Ripensare il soggetto in didattica della matematica: un approccio psicoanalitico

Abstract: A partire dalla critica alla presunta neutralità culturale della matematica (Barton, 2007; Bishop, 1991), verrà proposta una riflessione sulla sua natura come costruzione culturale e sociale, mettendo in discussione la prospettiva etica della matematica e delle pratiche educative ad essa associate nel contesto occidentale (D’Ambrosio, 2001; Skovsmose, 1994). Questa prospettiva solleva interrogativi sulle finalità dell’insegnamento della matematica all’interno di sistemi educativi (scolastici e accademici) inseriti in contesti capitalistici e neoliberali (Robinson & Aronowitz, 2009), dove l’apprendimento della matematica viene spesso ridotto alla sua funzione strumentale nel mondo del lavoro. In particolare, si esaminerà come ridurre l’insegnamento e l’apprendimento della matematica a una semplice trasmissione di un sapere fisso – fatto di assiomi, teoremi, dimostrazioni e procedure – accompagnata da pratiche di demonizzazione dell’errore, ostacoli l’autonomia degli studenti e limiti il potenziale formativo dell’esperienza matematica.

Attraverso una lettura lacaniana rielaborata da Brown (2020), il workshop proporrà una prospettiva di superamento della concezione tradizionale (predominante) dei rapporti di insegnamento-apprendimento della matematica ripensando le pratiche educative in matematica come spazi di co-costruzione della soggettività, in contrapposizione ai modelli normativi e funzionalisti dell’apprendimento (Ramploud, Funghi & Mellone, in corso di stampa).

Locandina

Riferimenti

Badiou, A. (2019). Logics of the Worlds: Being and Event II. Bloomsbury Publishing.

Barton, B. (2007). The language of mathematics: Telling mathematical tales (Vol. 44). Springer Science & Business Media.

Bishop, A. (1991). Mathematical enculturation: A cultural perspective on mathematics education (Vol. 6). Springer Science & Business Media.

Brown, T. (2020). A contemporary theory of research on mathematics education. Switzerland: Springer Nature.

Robinson, K., & Aronica, L. (2009). The element: How finding your passion changes everything. Penguin. 

D’Ambrosio, U. (2001). Ethnomathematics: Link between Traditions and Modernity. Sense Publishers.

Ramploud, A., Funghi, S., & Mellone, M. (in corso di stampa). Psychoanalytic Approach To Subject In Mathematics Education: Reflections On Educational Relationships. Proceedings of the 15th International Congress of Mathematics Education (Sydney, 7-14 Luglio 2024).

Skovsmose, O. (1994). Towards a critical mathematics education. Educational Studies in Mathematics, 27(1), 35–57.

Roberta Marziani (Siena)

Mercoledì, 28 maggio⋅15:00 – 16:00

Sala Professori I livello

Titolo: Gamma-convergence for plane to wrinkles transition region Abstract: Motivated by physical experiments, we consider a variational problem modelling wrinkling effect of a thin annular sheet radially stretched. We start with a brief introduction on elasticity theory for thin films. We then settle a model for an annular domain radially stretched and describe an energy scaling result for low energy wrinkle patterns [Bella-Kohn 2014]. Afterwards, to better characterize the wrinkle pattern, in particular to describe the transition  between flat and wrinkled regions we set up a toy problem and perform an asymptotic analysis, via Gamma-concergence, as the sheet thickness goes to 0.  The limiting problem is scalar and convex, but constrained and posed for measures. The latter are in some sense related to Fourier coefficients of the vertical displacement of the elastic deformation.  Eventually for the limiting problem we show existence of a minimizer and equipartition of the energy for each frequency. This is based on a joint work with Peter Bella (TU Dortmund).

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