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(winter 2006/2007) 
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)
Time and Place:
Wednesday 12:3014:00,
lecture room MI 02.07.023,
first lesson Oct 25
Final Exam:
 Results:
The results of the exam are now published in the "CSE window" between
wings 02.05 and 02.07 in the FMI building.
 Exam review:
If you want to take a look at your corrected exam, please ask for a
short appointment for exam review.
 Date of Final Exam:
Wednesday, January 31, during the
lecture, i.e. 12:1514:00 (the exam will start
precisely on 12:30, so please be present a little bit earlier).
 Helping material:
you are allowed to bring one sheet (size A4) of paper
with handwritten(!) notes during the exam.
Any further helping material (books, calculators, . . .) is forbidden.
 Topics and exam questions:
Exam topics are all topics covered during the lectures;
see also the question catalogues on the materials page.
Contents:
This course provides an overview of scientific computing, i. e. of the
different tasks to be tackled on the way towards powerful
numerical simulations. The entire "pipeline" of simulation is discussed:
 mathematical models:
derivation, analysis, and classification
 numerical treatment of these models:
discretization of (partial) differential systems, grid generation
 efficient implementation of numerical algorithms:
implementation on monoprocessors vs. parallel computers
(architectural features, parallel programming, load distribution,
parallel numerical algorithms)
 interpretation of numerical results & visualization

 validation
The course is conceived as an introduction to the thriving field of
numerical simulation for computer scientists, mathematicians, engineers,
or natural scientists without an already strong background in
numerical methods.
See this separate page.
Literature
 A.B. Shiflet and G.W. Shiflet:
Introduction to Computational Science,
Princeton University Press
 Boyce, DiPrima:
Elementary Differential Equations and Boundary Value Problems,
Wiley, 1992 (5th edition)
 Golub, Ortega:
Scientific Computing: An Introduction with Parallel Computing,
Academic Press, 1993
 Tveito, Winther:
Introduction to Partial Differential Equations 
A Computational Approach,
Springer, 1998
 Stoer, Bulirsch:
Introduction to Numerical Analysis,
Springer, 1996
 Hackbusch:
Elliptic Differential Equations  Theory and Numerical Treatment,
Springer, 1992
Michael Bader