Scientific Computing I - Winter 10

Term

Winter 10

Lecturer

Dr. rer. nat. Tobias Weinzierl

Time and Place

Thursday, 8:30-12:00; lecture room MI 02.07.023

Audience

Computational Science and Engineering, 1st semester (Module IN2005)

Tutorials

-

Exam

written exam

Semesterwochenstunden / ECTS Credits

2 SWS (2V) / 3 Credits

TUMonline

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Announcements

• October 28, 2010: First lecture

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 Scientific Computing 1 is intended for students in the Master's Program Computational Science and Engineering and of the English-language programs of the Department of Computer Science. Students in all other study programs, please consider our lecture Modellbildung und Simulation (see the lecture from summer term 2008, for example), instead.

Timetable, Lecture Notes, and Material

• October 28
• November 4
• November 11
• November 25
• December 9
• January 13
• January 20

Exam

• Date of final exam: t.b.a.
• Helping material: t.b.a.
• Exam topics are all topics covered during the lectures. See the catalogue of exam questions and previous years' exams below.

Catalogue of Exam Questions

The following catalogue contain questions collected by students of the lectures in winter 05/06 and 06/07. The catalogue is intended for preparation for the exam, only, and serves as some orientation. It's by no means meant to be a complete collection.

• Modelling, ODEs
• Modelling, PDEs
• PDE numerics

Last Years' Exams

Please, be aware that there are always slight changes in topics between the different years' lectures. Hence, the previous exams are not fully representative for this year's exam.

• exam winter 05/06
• exam winter 06/07
• exam winter 07/08

Literature

Books and Papers

• 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

Online Material

• Website for pre-2005 courses in Scientific Computing (more extensive - several of the topics have moved to other lectures, or are reduced in extent, now); website is accessible from the "Rechnerhalle" or with login/password (contact lecturer)
• Website for the book of A.B. Shiflet and G.W. Shiflet: Introduction to Computational Science
  • Maple Computational Toolbox Files: contains an introduction worksheet to Maple plus several worksheets related to CSE, which are covered in this textbook.
• ODE Software for Matlab (website by J.C. Polking, Rice University)