Multiskalentechniken/Multiscale Techniques

Prof. Dr. Siegfried Müller ✉
Giacomo Borghi, M.Sc. ✉


Course Time Room Remark
Lecture Wednesday 08:30 - 10:00
Thursday 08:30 - 10:00
main building, Room 149 (1010|149)
main building, Room 149 (1010|149)
in person, start: 05.04.
Exercise Tuesday 08:30 - 10:00 main building, Room 149 (1010|149) in person, start: 18.04.
Oral exam Details (date, room and allocation of date) will be announced by the end of the lecture time

The dates for the lecture and exercise shown in RWTHonline are mixed up. These are the correct ones.


  • The lectures are accompanied by weekly exercises. Exercise sheets will be published on RWTHmoodle. Working on the exercise sheets and active participation in the exercises is mandatory for admission to the oral exam.
  • Up to two students can work jointly on an exercise sheet and hand in together.
  • The exercise sheets are published always on Tuesday. Submission of the results is on the following Tuesday in the exercise. Please write your Matrikelnummer together with your name on your submitted exercises.
  • The exercises have to be handed in handwritten except for programming tasks.

  • Registration

    You can register for the course via RWTH online. For participation to the exercise please register via the Modulares Anmeldeverfahren.

    Previous knowledge expected

    To participate in the module Multiskalentechniken/Multiscale Techniques basic knowledge in the numerical discretization of ordinary differential equations and partial differential equations as well as well-founded knowledge in linear functional analysis.


    The manuscript will be uploaded to RWTHmoodle.

    Contents of the course

    The course offers a concise introduction to selected topics from multiscale techniques: homogenization, heterogeneous multiscale method, multiscale algorithms and multiphysics.


    The material of the course is covered in parts by
  • G.A. Pavliotis, A.M. Stuart, Multiscale Methods: Averaging and Homogenization, Texts in Applied Mathematics, Springer Science & Business Media, 2008
  • W. E, E. Engquist, The heterogeneous multiscale methods, Comm. Math. Sci., 1(1), 87-132, 2003
  • W. E, Principles of Multiscale Modelling, Cambridge Academic Press, 2011

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