Scientific Computing II - Summer 18

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Summer 2018
Prof. Dr. Michael Bader
Time and Place
Monday 14-16 (MI HS 2); first lectures: Mon, Apr 9, and Tue, Apr 10 (in tutorial slot)
Computational Science and Engineering, 2nd semester
others: see module description
Carsten Uphoff, M.Sc., Nikola Tchipev, M.Sc.
Tuesdays 10-12, lecture room MI HS 2 (from April 16)
written exam, time/day see below
Semesterwochenstunden / ECTS Credits
2V + 2Ü / 5 Credits
Scientific Computing II



This course provides a deeper knowledge in two important fields of scientific computing:

  • iterative solution of large sparse systems of linear equations:
    • relaxation methods
    • multigrid methods
    • steepest descent
    • conjugate gradient methods
    • preconditioning
  • molecular dynamics simulations
    • particle-based modelling (n-body simulation)
    • algorithms for efficient force calculation
    • parallelisation

The course is conceived for students in computer science, mathematics, or some field of science or engineering who already have a certain background in the numerical treatment of (partial) differential equations.

Lecture Slides

Lecture slides will be published here. For future lectures, the respective slides from summer 2017 will be linked.


See the Moodle course.


  • written exam (regular and repeat)
  • material: no helping material of any kind is allowed during the exam
  • Topics: everything that was covered in the lectures and tutorials

Please make sure that you are registered for the exam via TUMOnline!

Old exams are available on the websites of the last years (note that the curriculum of the lecture has slightly changed since then!): [1] [2] [3]

Second Exam

First Exam

  • Date: Monday, Jul 31
  • Time: 13.30-15.15 - Please make sure to be in the lecture hall by 13.15, as the exam will start precisely at 13.30.
  • Place: MI HS 1 (Friedrich L. Bauer Hörsaal )



  • William L. Briggs, Van Emden Henson, Steve F. McCormick. A Multigrid Tutorial. Second Edition, SIAM, 2000 (available as eBook in the TUM library)
  • Ulrich Trottenberg, Cornelis Oosterlee, Anton Schüller. Multigrid. Elsevier, 2001 (available as eBook in the TUM library)
  • J.R. Shewchuk. An Introduction to the Conjugate Gradient Method Without the Agonizing Pain (download as PDF). 1994.
  • V. Eijkhout: Introduction to High-Performance Scientific Computing (textbook, available as PDF on the website)
  • M. Griebel, S. Knapek, G. Zumbusch, and A. Caglar. Numerical simulation in molecular dynamics. Springer, 2007 (available as eBook in the TUM library)
  • M. P. Allen and D. J. Tildesley. Computer Simulation of Liquids. Oxford University Press, 2003.
  • D. Frenkel and B. Smith. Understanding Molecular Simulation from Algorithms to Applications. Academic Press (2nd ed.), 2002.
  • R. J. Sadus. Molecular Simulation of Fluids; Theory, Algorithms and Object-Orientation. Elsevier, 1999.
  • D. Rapaport. The art of molecular dynamics simulation. Cambridge University Press, 1995.
  • R. Beatson, L. Greegard. A short course on fast multipole methods (lecture script)