Advanced Numerical Methods for the solution of Hyperbolic Equations
Ecole Doctorale de Mathématiques et Informatique (EDMI)
Université de Bordeaux, Bordeaux, France

Lecturer: Dr. Elena GABURRO
Dates: From Monday 22nd to Thursday 25th of March 2021 (12 hours)
Timetable: 3 hours everyday from 14h to 17h
Modality: Fully online via ZOOM (+ dinamic 15 minutes break on gathertown)

Course material: Download here.

This advanced course on numerical methods for hyperbolic partial differential equations (PDEs) gives an overview of the most important numerical methods available for the solution of hyperbolic PDEs arising in fluid mechanics (from human and hearth-science problems to the study of stars and galaxies). The course covers Finite Volume methods, second order TVD methods, higher order ENO-WENO techniques, and the Discontinuous Galerkin approach, both in the simple one-dimensional case and on unstructured two-dimensional geometries.

It is a major objective of the course to implement these algorithms in the form of computer programs written in MATLAB to provide hands-on experience to all participants on the practical aspects of numerical methods, and working codes already suitable for research purposes.

The course is primarily designed for the PhD students of the EDMI of the University of Bordeaux, but it could be also opened to interested master students and post-doctoral researchers upon request (please write to elena.gaburro@inria.fr).

For more information click here.

Blended Teaching Concept
A simple but efficient concept of blended teaching of mathematics for engineering students during the COVID-19 pandemic

S. Busto, M. Dumbser, E. Gaburro
Dep. Civil and Environmental Engineering, University of Trento, Italy

You can download here a presentation of the concept.

We present an economically affordable and simple but efficient technical concept for the realization of blended teaching of mathematics and its applications that was conceived, tested and implemented at the University of Trento, Italy, during the COVID-19 pandemic.
The concept foresees traditional blackboard lectures with a reduced number of students present in the lecture hall, while the same lectures are simultaneously made available to the remaining students via high quality low-bandwidth online streaming.

To realize our concept we employed the personal laptop of each professor as the crucial hub for the acquisition and distribution of the audio and video streams to be sent online.
As videoconferencing system we employed ZOOM. We install two indipendent systems in each lecture hall (to let each professor a free choiche and to minimize technical problems):
a videocamera system that allows to transmit traditional blackboard lectures, and classroom experiments, as well as a graphics tablet and digital pen system.
The speech of the professor is picked up from a bluetooth ear microphone and to ease bidirectional communication the laptop is connected to the sound system of the lecture hall.


Note that ZOOM automatically reduces the video quality to 640x360p (left image here below) due to COVID-19 internet bandwidth restrictions for all meetings with three or more people simultaneously connected.
To overcome this intrinsic limitation and to obtain a proper transmission of the video signal of the blackboard in permanent full HD resolution 1920x1080p (right image here below) was to use the share screen feature of ZOOM. While this was rather obvious in the case of the use of a graphics tablet, it required the use of a third party video capturing software (e.g. VLC, OBS, Quicktime...) to capture and transmit the signal coming from the video cameras installed in the lecture hall.

ZOOMVideo Screensharing

We refer to our recent paper for all the technical details, the necessary hardware, software and logistics, as well as the perception of the proposed blended lectures by undergraduate students and professors.

Winter School Februray 2020
NUMHYP 2020: Short Course on Advanced Numerical Methods for Hyperbolic Equations

Dep. Civil and Environmental Engineering, University of Trento, Italy

36 hours: 18 hours taught by Prof. Dr.-Ing. Michael Dumbser and 18 hours taught by myself

Course designed for PhD students and post-doctoral researchers in applied mathematics, engineering, physics, computer science and other scientific disciplines

For more information click here

Second term 2019/2020 at University of Wurzburg, Germany
Invited Lecturer, "Numerical solution of hyperbolic partial differential equations”
Master's degree & PhD in Mathematics, 15 hours

In this folder you can find some material used during the cours.

First term 2019/2020 at University of Malaga, Spain
Invited Lecturer, "High order Finite Volume and Discontinous Galerkin methods for the solution of hyperbolic partial differential equations”
Master's degree and PhD Programme in Mathematics, 10 hours

First term 2018/2019 at University of Trento
Metodi Numerici per l'ambiente
Master's degree, year 1, 30 hours

First term 2016/2017 at University of Verona
Calcolo Numerico con Laboratorio
Bachelor's degree, year 2, 36 hours

First term 2015/2016 at University of Verona
Calcolo Numerico con Laboratorio
Bachelor's degree, year 2, 36 hours

First term 2014/2015 at University of Verona
Calcolo Numerico con Laboratorio
Bachelor's degree, year 2, 45 hours

First term 2014/2017 at University of Verona
Tutor of Numerical Analysis
Bachelor's degree, 50 hours per year