Term: Winter 11
Lecturer: Dr. rer. nat. habil. Miriam Mehl
Time and Place: Thursday, 10:00-12:00;
Audience: Computational Science and Engineering, 1st semester (Module IN2005)
Tutorials: -
Exam: written exam
Semesterwochenstunden / ECTS Credits: 2 SWS (2V) / 3 Credits
TUMonline: {{{tumonline}}}

Announcements

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

Lecture Notes and Material

October 20	no lecture (SET)
Introduction Population Modelling - Discrete Models \| Further Reading: A Real World Application Example Models in Science (Stanford Encyclopedia of Philosophy)
Population Modelling - ODEs \| Further Reading:
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B. DiPrima: Elementary Differential Equations and Boundary Value Problems, Wiley, 1992 (excellent online material)
A.B. Shiflet and G.W. Shiflet: Introduction to Computational Science, Princeton University Press (in particular Chapter 3,5,6)
G. Golub and J. M. Ortega: Scientific Computing and Differential Equations, Academic Press (in particular Chapter 1-4,8)
D. Braess: Finite Elements. Theory, Fast Solvers and Applications in Solid Mechanics, Cambridge University Press (in particular I.1, I.3, I.4, II.2)
Tveito, Winther: Introduction to Partial Differential Equations - A Computational Approach, Springer, 1998 (in particular Chapter 1-4,7,10)

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)

October 20	no lecture (SET)
Introduction Population Modelling - Discrete Models \| Further Reading: A Real World Application Example Models in Science (Stanford Encyclopedia of Philosophy)
Population Modelling - ODEs \| Further Reading:
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no lecture, Dies Academicus \|
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