N5TeAM - Master’s Programme in Applied and Engineering Mathematics

Programme

 
N5TeAM Summer School in Applied and Engineering Mathematics

June 9 to 15 2013 on the island of Seili, Finland
Extent: 3 ECTS

During one week we will have two mini courses consisting of lectures and group work. Preparatory reading material will be sent to the participants.

 The topics of the mini courses are:

 The lattice Boltzmann method for mass transport simulations

lecture_general_small.jpgTeacher:  Tobias Gebäck (Chalmers)

The lattice Boltzmann method is a relatively new numerical method for solution of PDE:s related to mass transport, e.g. the Navier-Stokes equations and the advection-diffusion equation. Its mesoscopic nature gives it interesting possibilities for multi-physics applications and for modeling diverse physical interactions. 

 

During a summer school:

  • We give an introduction to the method, including some general background to modeling article systems going from microscopic descriptions to macroscopic ones. Some more advanced topics and recent developments will also be discussed.
  • There will be hands-on exercises, including solving Navier-Stokes equations in different settings, coupling them to advection-diffusion equations, studying questions regarding stability and accuracy, experimenting with parallel computing, etc.   

 

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Teacher: Jesper Oppelstrup (KTH)

The aim of the course is to give the students knowledge of numerical solution of electromagnetic wave problems, relevant mathematical theory, and implementation of three main types of solvers: Finite Difference Time Domain, frequency domain integral equation Method of Moments, as well as nodal and vector (edge) finite elements. After successful completion of the course the students will be able to:

  • Apply and understand limitations of standard methods for electromagnetic wave propagation;
  • Contribute to development of new methods and software for finite difference and finite element differential equation models as well as integral equation models for frequency domain models.

 Student projects

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