Lectures

Lecture Title:    An introduction to data science and machine learning for environmental and/or engineering problems (5 x 1h30; Online)

Contents:    Data collection and preparation. Supervised and unsupervised machine learning techniques. Introduction to deep learning and time-series analysis. Examples and applications from engineering and environmental science.

By:    Mark Asch, Université de Picardie Jules Verne, Amiens, France

Lecture Title:    Modelling with PDEs: the example of traffic flow, a few aspects (5 x 1h30)

Contents:    Initial- and boundary-value problems; dimensional analysis and dimensionless equations; transformations: Cole-Hopf, Fourier and Laplace; geometrical aspects of solutions; change of variables and the Rankine-Hugoniot condition.

By:    Joaquim M. C. Correia, Universidade de Évora, Évora, Portugal

Lecture Title:    Partial differential equations in science: a very brief introduction (5 x 1h30)

Contents:    The heat, wave, and transport equations as models of natural and artificial phenomena; solving the heat and wave equation by Fourier series; D’Alembert formula for the wave equation; transport equations: linear and non-linear (Burgers); characteristics, shocks, need for a weaker notion of solution.

By:    Fernando P. da Costa, Universidade Aberta, Lisboa, Portugal

Lecture Title:    Introduction to continuous dynamical systems (5 x 1h30; Online)

Contents:    Motivation from population dynamics. One dimensional dynamics, orbits, bifurcation. Two-dimensional dynamics. Invariant manifolds. Centre manifolds.

By:    Michael Grinfeld, University of Strathclyde, Glasgow, United Kingdom

Lecture Title:    Introduction to Python (5 x 1h30; Online)

Contents:    Python presentation, basic notions (number, array, string, function), graphics, symbolic calculus, linear and nonlinear systems, differential equations.

By:    Marília C. V. O. Pires, Universidade de Évora, Évora, Portugal

Lecture Title:    Integer programming applied to humanitarian logistics (4 x 1h30)

Contents:    Modelling linear and integer optimisation problems. Solving integer programming models using specialised software. Application to humanitarian logistics problems.

By:    Begoña Vitoriano Villanueva, Universidad Complutense, Madrid, Spain