Elena Gaburro

foto,  October 26, 2023
Position
Associate Professor
Academic sector
MATH-05/A - Numerical Analysis
Research sector (ERC-2024)
PE1_18 - Numerical analysis

PE1_19 - Scientific computing and data processing

E-mail
elena|gaburro*univr|it <== Replace | with . and * with @ to have the right email address.
Personal web page
https://elenagaburro.it/

Office Hours

Il ricevimento si svolge solo su appuntamento, preferibilmente nei giorni in cui c'è anche lezione.

Receiving is by appointment only, preferably on days when I also have lecture.

Curriculum

I am happy to announce that my ERC-StG project ALcHyMiA (grant agreement no. 101114995) started on April 2024. It will last 5 years. Its research budget is 1.500.000 euros and many positions are available to work with me on the development of novel and effective numerical methods for the solution of hyperbolic equations!

My research focuses on the development of new Finite Volume and Discontinous Galerkin schemes of arbitrary high order, both in space and in time, for the solution of nonlinear hyperbolic systems on moving unstructured polygonal meshes. My research topics include also: path-conservative well balanced schemes for nonconservative hyperbolic equations, structure preserving schemes, direct Arbitrary-Lagrangian-Eulerian schemes, nonconforming sliding lines techniques, Voronoi regenerating meshes with topology change. Applications concern: shallow water and multiphase flows, Euler equations of gasdynamics, magnetohydrodynamics, general relativity and continuum mechanics.

I have a PhD in Mathematics and I have been a Post Doctoral researcher at the University of Trento (Italy, 2017-2020) and a researcher (with a permanent faculty position) at the Inria center of the University of Bordeaux (France, 2021-2024). In 2024, I have been awarded with the Peter Lax Award given by the scientific committee of the HYP international conference as best researcher in the field in the category PhD+0 -- PhD+10.

I have been the Principal Investigator of my Marie Curie IF research project SuPerMan, from 2021 to 2023. I also got a French Research Grant (ANR-JCJC ImPreVu) and a German DFG Research Grant.

I have been visiting researcher at LJLL (Sorbonne Université, France), at the University of Wurzburg (Germany) and in the EDANYA group (University of Malaga, Spain), part of the time as winner of a Marie Curie MSCA-ITN grant under the H2020 EU project ModCompShock.

I speak Italian, English, French and Spanish.

Modules

Modules running in the period selected: 7.
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Research groups

Contemporary Applied Mathematics
Development of advanced theoretical and computational mathematical methods for transport and diffusion phenomena in complex systems, multivariate approximation and high-dimensional control problems.
Research interests
Topic Description Research area
Partial differential equations, initial value and time-dependent initial-boundary value problems Solution of non-linear Schrödinger, mean-field and Boltzmann-type equations by pseudo-spectral or meshless methods in space and splitting methods in time. Mathematics methods and models
Numerical analysis
Projects
Title Starting date
HE ERC - Advanced Structure Preserving Lagrangian schemes for novel first order Hyperbolic Models: towards General Relativistic Astrophysics (ALcHyMia) 4/1/24




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