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(summer 2006) 
Audience:
 students in Computational Science
and Engineering (CSE, compulsory course)
 students in Informatik (Hauptstudium, vertiefende Vorlesung in Theoretische Informatik)
 students in Physik (Hauptstudium, nichtphysikalisches Wahlfach)
 students in Mathematik and Technomathematik and other scientific subjects (Wahlfach)
Time and Place:
Wednesday 9:0010:45,
lecture room MI 02.07.023,
first lesson April 26
Tutorial Monday 14:4515:30,
lecture room MI 00.08.059,
first tutorial May 8
Contents:
This course provides a deeper knowledge in two important fields of scientific
computing:
 solution of large sparse systems of linear equations:
 Gaussian elemination
 relaxation methods
 multigrid methods (basics)
 multigrid methods on adaptively refined grids
 full multigrid
 conjugate gradients methods
 preconditioning
 molecular dynamics simulations
 introduction
 essentials from continuum mechanics
 the physical model
 the mathematical model
 approximations and discretization
 implementational aspects
 parallelisation
 examples of nanofluidic simulations
 advanced numerical schemes for longrange potentials
The course is conceived for computer scientists, mathematicians, engineers,
or natural scientists with already a background in the numerical treatment of
(partial) differential equations.
Miriam Mehl