Scientific Computing I - Winter 11
- Term
- Winter 11
- Lecturer
- Dr. rer. nat. habil. Miriam Mehl
- Time and Place
- Thursday, 10:00-12:00; Hörsaal im LMU Physik Werkstattgebäude Am Coulombwall 1 (Garching!)
- Audience
- Computational Science and Engineering, 1st semester (Module IN2005)
- Tutorials
- -
- Exam
- written exam
- Semesterwochenstunden / ECTS Credits
- 2 SWS (2V) / 3 Credits
- TUMonline
- {{{tumonline}}}
Announcements
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
Lecture Notes and Material
| October 20 | no lecture (SET) | |
| October 27 | Introduction Population Modelling - Discrete Models |
Further Reading: A Real World Application Example Models in Science (Stanford Encyclopedia of Philosophy) |
| November 3 | Population Modelling - ODEs | Further Reading: Analysis of ODE Models |
| November 10 | Population Modelling - ODEs 2 | Further Material: Online Slope Field Plotter |
| November 17 | ODE Numerics | Further Reading: |
| November 24 | ODE Numerics Continued | |
| December 1 | Parallel Timestepping | Further Reading: The Parareal Algorithm - A Survey of Present Work |
| December 1 | ||
| December 8 | no lecture, Dies Academicus | |
| December 15 | ||
| December 22 | ||
| January 12 | ||
| January 19 | ||
| January 26 | ||
| February 2 | ||
| February 9 |
Exams
Literature
Books and Papers
- 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)
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)