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Focus on Mathematical and Computational Modelling with PDEs

Mathematical and computational modelling with Partial Differential Equations (PDEs) is nowadays an essential tool for analysing, understanding and predicting phenomena in physics, biology, engineering, economics, social sciences and related fields. The applications cover a wide spectrum ranging from the modelling of the aerodynamical behaviour of an airfoil, to the simulation of the impact of a tsunami in a coastal area, or the study of fracture in epithelial cell sheets.

hydraulicHydraulic fracture during epithelial stretching

flowPastCilindre_crop.png

Flow past a cilindre. Numerical solution of Navier-Stokes eq.

greuTranspWingMesh for 3D Finite Element computations

Students interested in focusing on modeling with PDEs are invited to select 45 ECTS from this list:

Mathematical Modelling with PDEs 7.5 ECTS English MAMME
Numerical Methods for PDEs 7.5 ECTS English MAMME
Computational Mechanics 7.5 ECTS English MAMME
Advanced Course in PDEs 7.5 ECTS English MAMME
Advanced Fluid Mechanics** 5 ECTS English

Master in Numerical Methods

in Engineering, UPC

Finite Elements in Fluids** 5 ECTS English

Master in Numerical Methods

in Engineering, UPC

Advanced Discretization Methods** 5 ECTS English

Master in Numerical Methods

in Engineering, UPC

Numerical Modelling* 9 ECTS English

Master en Enginyeria de Camins,

Canals i Ports, UPC

Recall that a minimum of 3 MAMME courses (22.5 ECTS) is mandatory.

(*) “Numerical Modeling” is recommended to students that do not have a solid background in numerical methods and programming. Registration to this course requires the approval of the director of the corresponding master.

(**) These courses are proposed to students willing to get a deeper focus on numerical methods for PDEs and their applications.