Mathematical Analysis, Modelling, and Applications

The activity in mathematical analysis is mainly focussed on ordinary and partial differential equations, on dynamical systems, on the calculus of variations, and on control theory. Connections of these topics with differential geometry are also developed.The activity in mathematical modelling is oriented to subjects for which the main technical tools come from mathematical analysis. The present themes are multiscale analysis, mechanics of materials, micromagnetics, modelling of biological systems, and problems related to control theory.The applications of mathematics developed in this course are related to the numerical analysis of partial differential equations and of control problems. This activity is organized in collaboration with MathLab for the study of problems coming from the real world, from industrial applications, and from complex systems.

AJS - Analysis Junior Seminars 2022-2023

Date	Speaker	Seminar
November 18	Ariel Surya Boiardi	IGA-Energetic BEM for the numerical solution of 2D wave scattering problems in the space-time domain
November 25	Martina Zizza	Dynamic Blocking Problems of Fire Propagation
December 2	Pierfrancesco Siena	A machine learning-based reduced order model for the investigation of the haemodynamics in coronary artery bypass grafts
December 16	Samuel Borza	Sub-Riemannian exponential map of the α-Grushin plane
January 20	Anna Ivagnes	A shape optimization pipeline for marine propellers by means of data-driven reduced order modeling techniques
January 27	Matteo Ferrari	The non-symmetric coupling for exterior problems: results on the stability and a virtual elements approach

Recurrent Zoom link of the seminars: https://sissa-it.zoom.us/j/7306190508

Date	Speaker	Room	Seminar
November 9, time 15.00	Stefano Zampini (KAUST)	A-133	Device Accelerated Solvers with PETSc. Current Status, Future Perspectives and Applications
November 16, time 15.00	Robert Nurnberg (Università di Trento)	A-131	A generalized DeTurck trick for anisotropic curve shortening flow
November 23, time 14.00	Lorenzo Mascotto (Università di Milano Bicocca)	A-139	Enriching Galerkin methods
December 7, time 14.00	Andreas Dedner (University of Warwick)	A-137	A General Approach for Implementing Virtual Element Schemes
January 24, time 14.00	Zhaonan Dong (INRIA)	A-133 and online	A posteriori error analysis for discontinuous Galerkin methods on polygonal and polyhedral meshes
January 25, time 16.00	Arran Fernandez (Eastern Mediterranean University)	online	Fractional differential equations: initialisation, singularity, and dimensions