Scientific Computing I - Winter 09: Difference between revisions
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* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/questions_pde.pdf Modelling, PDEs] | * [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/questions_pde.pdf Modelling, PDEs] | ||
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/questions_fdfe.pdf PDE numerics] | * [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/questions_fdfe.pdf PDE numerics] | ||
= Literature = | = Literature = | ||
Latest revision as of 15:09, 12 October 2022
- Term
- Winter 09
- Lecturer
- Prof. Dr. Michael Bader
- Time and Place
- Thursday, 9-12, lecture room MI 02.07.023 (first lecture Oct 29; the lecture will be held with 3 hours per week, but will finish before christmas)
- Audience
- Computational Science and Engineering, 1st semester (Module IN2005)
- Tutorials
- -
- Exam
- written exam; Fri, Jan 15, 16-18, room MW 0350
- Semesterwochenstunden / ECTS Credits
- 2 SWS (2V) / 3 Credits
- TUMonline
- {{{tumonline}}}
Announcements
- The lecture on Dec 3 will be cancelled
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.
Lecture Notes and Material
(Material for future lectures refer to the lectures from winter term 2008, and will be updated throughout the semester)
- Introduction - Scientific Computing as a Discipline
- Oct 29
- slides, handout
- Fibonacci's Rabbits, Classification of Models
- Oct 29
- slides, handout
- Continous Population Models I & II - Single Species Models, Analysis of ODE Models
- Nov 5
- slides
- Maple worksheet: popmodel.mws
- Continous Population Models III & IV - Systems of ODE, Analysis of ODE Systems
- Nov 5, Nov 12
- slides, handout population models
- Maple worksheets: lotkavolt.mws, dirfields.mws
- Numerical Methods for ODE
- Nov 12 & 19
- slides, handout
- Maple worksheet: numerics_ode.mws
- Discrete Models for the Heat Equation
- Nov 26
- slides, handout
- Maple worksheet: poisson2D.mws
- Heat Equation - Analytical and Numerical Solution
- Dec 10
- slides, handout
- Maple worksheets: Fourier's method: heat1D_four.mws, Discretisation: heat1D_disc.mws, heat1D_impl.mws
- Additional material: Neumann stability (worksheet with solution), discrete energy (handout)
- Discretisation of PDEs, Finite Element Method
- slides, handout
- Maple worksheets: poisson2D.mws, fe.mws
- Grid Generation
- Jan 14
- slides, handout
- Case Study - Computational Fluid Dynamics (not included this year)
- slides, handout
- Conclusion and Outlook
- Jan 14
- slides, handout
Exam
- Date of final exam: Friday, Jan 15, 16-18 in room MW 0350
- Helping material: you are allowed to use one sheet (size A4) of paper with hand-written(!) notes during the exam. Any further helping material (books, calculators, etc.) is forbidden!
- Exam topics are all topics covered during the lectures (until Jan 7); see the catalogue of exam questions and previous years' exams below.
- Repeat exam: a repeat exam will offered (only for students who failed the regular exam) in April 2010. The exam will be written or oral, depending on the number of participants.
- Possibility to view your exam results will be given on March 8, 14-16, in office 02.05.057.
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.
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
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)