Lecturers, courses, or other pedagogical activities:
Title: Modelling with PDEs: the example of traffic flow, a few aspects
Contents: The lecture examines how partial differential equations are used to represent and analyze traffic dynamics. It discusses key models addressing aspects like congestion, wave propagation, and the impact of driver behavior on traffic patterns.
Keywords: Initial and boundary-value problems; dimensional analysis and dimensionless equations; Cole-Hopf, Fourier and Laplace transforms; geometrical aspects of solutions; change of variables and the Rankine-Hugoniot condition.
Lecturer: Joaquim Correia, Universidade de Évora
Title: Approximation methods for integral equations
Contents: This lecture explores techniques to solve integral equations when exact solutions are difficult to obtain. It covers methods such as discretization, numerical integration, and iterative approaches.
Keywords: Introduction to types of integral equations, Overview of methods, Real-world applications
Lecturer: Laurence Grammont, University Jean Monnet
Title: Implementation of finite volumes method
Contents: The lecture focuses on the numerical technique for solving partial differential equations. It covers the formulation of the method, discretization of the governing equations, and practical coding strategies for simulation, emphasizing stability.
Keywords: Principles for conservation laws, Discretization Techniques, Numerical Stability and Convergence, Practical Applications
Lecturer: Rajesh Kumar, BITS Pilani
Title: Modeling waterborne disease with numerical implementation
Contents: The lecture focuses on the mathematical modeling of the spread of waterborne diseases using partial differential equations and numerical methods. It covers the formulation of models that incorporate environmental factors, population dynamics, and disease transmission.
Keywords: Waterborne diseases, natural and human factors, multiple transmission pathways; reaction-diffusion-advection equations; population balance and water waves models.
Lecturer: Youcef Mammeri, University Jean Monnet
General audience talk: Y. Mammeri, How mathematics can be useful for ecology.