Numerical Analysis

About us

The Research Group in Numerical Analysis at the Department of Mathematics, Physics, and Computer Sciences of the University of Parma is dedicated to advancing the theoretical and numerical understanding of Boundary Element Methods (BEM) and their diverse applications. Over the past decade, our focus has been primarily directed towards the comprehensive exploration of BEM's effectiveness in solving hyperbolic equations within the realms of scalar wave propagation and elastodynamics across both two-dimensional (2D) and three-dimensional (3D) spaces. This ongoing research encompasses various satellite topics, with particular emphasis on the following key areas:

BEM/BEM and BEM/FEM coupling techniques for multi-layered media
contact problems
Finance barrier options pricing
numerical integration schemes for singular integrals
fast techniques for the linear system construction and resolution

Members

Alessandra AIMI
Energetic BEM and BEM-FEM for acoustic and elastic wave propagation in time domain with advanced applications; IgA-BEM; collocation BEM for option evaluation in Finance; quadrature techniques for weakly, strongly and hyper- singular integrals; decomposition in subspaces method for differential and integral problems with invariance property w.r.t. groups of congruences; BEM/B-splines for industrial problems.

Chiara GUARDASONI
Weak formulations for wave propagation problems; energetic BEM and BEM-FEM for acoustic and elastic wave propagation in time domain; quadrature techniques for weakly, strongly and hyper- singular integrals; methods of subspaces decomposition for problems invariant w.r.t. symmetry group; numerical methods for finance models; numerical methods for kinetic theory

Giulia DI CREDICO
Numerical analysis of Energetic BEM for wave propagation in 2D; unilateral and bilateral contact problems by Energetic BEM; BEM-FEM coupling for fluid-structure interaction problems; Energetic BEM with adaptive refinement; quadrature schemes for singular integrals.

National Research Projects

PRIN-PNRR 2022: MATHematical tools for predictive maintenance and PROtection of CULTtural heritage (MATHPROCULT).
Coordinatore Nazionale: M. Semplice (Università dell'Insubria).
Coordinatore Locale Unità di Parma: F. Freddi.
Start date: Sept. 28, 2023. End date: Sept. 27, 2025.

Activities and Events

Applied Mathematics Seminar

Organizers: A. Aimi and M. Groppi.

Modificato il 24/01/2024

Contenuti correlati

Research Areas

The research interests of the faculty members of the department encompass a wide range of areas in Mathematics, Physics, and Theoretical Computer Science.

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Seminars and Events

The Faculty members in the department are actively involved in organizing a diverse array of scientific activities. These include recurring series of Research Seminars in Mathematics and Physics, along with workshops and conferences of international relevance.

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Conferences, Workshops, and other Events

Faculty members at the department actively coordinate numerous scientific events both nationally and internationally. Many of these activities take place in Parma and are hosted at the Science and Technology Campus by the Centro Congressi Santa Elisabetta.

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