Introduction to Scientific Computing
(winter 2004/2005)

Dr. Miriam Mehl

Dr. Michael Bader

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)
• students of the vhb (Virtuelle Hochschule Bayern)

Time and Place:

Tutorial:

Final Exam:

A hand-written sheet of paper (size A4, front and back page) may be used during the exam as helping material. No other material will be allowed.

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. Starting from mathematical models (derivation, analysis, and classification; various examples), their numerical treatment is discussed (discretization of differential systems, grid generation). The next chapter deals with the efficient implementation of numerical algorithms, both on monoprocessors and parallel computers (architectural features, parallel programming, load distribution, parallel numerical algorithms). Finally, some remarks on the interpretation of numerical results (visualization) are made.

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.

Literature

• 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: Iterative Solution of Large Sparse Systems of Equations, Springer, 1993
• Hackbusch: Elliptic Differential Equations - Theory and Numerical Treatment, Springer, 1992

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