Scientific Computing I - Winter 12

Term

Winter 12

Lecturer

Prof. Dr. Michael Bader

Time and Place

Wednesday, 10-12; MI 00.13.009A (starts Oct 17)

Audience

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

Tutorials

Philipp Neumann, time and place: Monday, 16-18, MI 00.013.009a

Exam

written exam, Feb 11, 2013

Semesterwochenstunden / ECTS Credits

4 SWS (2V+2Ü) / 5 Credits

TUMonline

https://campus.tum.de/tumonline/lv.detail?clvnr=950078599

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Announcements

• The exam review will take place on Friday, March 8, 13:00-14:30, in room 02.07.023 and on Thursday, March 14, 13:00-14:30, in room E.2.044 (Leibniz Supercomputing Centre, Boltzmannstr. 1).
• The lecture will start with a general overview on the field of CSE and Scientific Computing on Wed, Oct 17.
• The exercises will -- except for the exercise on Dec 3 -- take place in room 00.013.009a (same room as for the lectures)

Contents

The lecture will cover the following topics in scientific computing:

• typical tasks in the simulation pipeline in scientific computing;
• classification of mathematical models (discrete/continuous, deterministic/stochastic, etc.);
• modelling with (systems) of ordinary differential equations (example: population models);
• modelling with partial differential equations (example: heat equations);
• numerical treatment of models (discretisation of ordinary and partial differential equations: introduction to Finite Volume and Finite Element Methods, grid generation, assembly of the respective large systems of linear equations);
• analysis of the resulting numerical schemes (w.r.t. convergence, consistency, stability, efficiency);

An outlook will be given on the following topics:

• efficient implementation of numerical algorithms, both on monoprocessors and parallel computers (architectural features, parallel programming, load distribution, parallel numerical algorithms)
• interpretation of numerical results (visualization)

Lecture Notes and Material

Slides of the lectures, as well as worksheets and solutions for the tutorials, will be published here as they become available.

Day	Topic	Material
Oct 17	Introduction - CSE/Scientific Computing as a discipline	slides: 01_discipline.pdf
Oct 17	Worksheet 1 (for the exercise on Oct 22)	Worksheet1 Solution
Oct 19	Worksheet 2 (for the exercise on Oct 24)	Worksheet2 Solution
Oct 29	Population Models - Discrete Modelling, Continuous Modelling (Parts I and II)	slides: 02_fibo.pdf, 03_population.pdf
Oct 29	Worksheet 3 (for the exercise on Nov 5)	Worksheet3, Solution, ws3.mw, Maple worksheet as pdf, Java-Applet Game of Life
Nov 7, Nov 14	Population Models - Continuous Modelling (Parts I to IV)	03_population.pdf, 04_population2.pdf Maple worksheets: popmodel.mw (also as PDF), lotkavolt.mw (also as PDF), dirfields.mw (also as PDF)
Nov 7	Worksheet 4 (for the exercise on Nov 12)	Worksheet4, Solution, ws4b.mw, ws4b as pdf, ws4d.mw, ws4d as pdf
Nov 14	Worksheet 5 (for the exercise on Nov 19)	Worksheet5,Solution, ws5b.mw, ws5c.mw, ws5d.mw
Nov 21	Numerical Methods for ODEs	05_ode_numerics.pdf Maple worksheet: numerics_ode.mw (also as PDF)
Nov 21	Worksheet 6 (for the exercise on Nov 26)	Worksheet6, Solution, ws14b.mw
Nov 28	Numerical Methods for ODEs (cont.)	05_ode_numerics.pdf Maple worksheet: numerics_ode.mw (also as PDF); Intermission: Modelling - Classification and Summary 06_modelling.pdf
Nov 28	Worksheet 7 (for the exercise on Dec 3)	Worksheet7, Solution, ws15c.mw
Dec 5	Heat Transfer - Discrete and Continuous Models	07_heatmodel.pdf Maple worksheet: poisson2D.mw (also as PDF)
Dec 5	Worksheet 8 (for the exercise on Dec 10)	Worksheet8, Solution, ws8_18c.mw
Dec 12	1D Heat Equation - Analytical and Numerical Solutions	08_heateq.pdf Worksheet: heatenergy.pdf additional Maple worksheet (from an older lecture): heat1D_four.mw (also as PDF)
Dec 12	Worksheet 9 (for the exercise on Dec 17)	Worksheet9, Solution, , ws9_20.mw
Dec 19	Worksheet 10 (for the holidays, no review in exercise!)	Worksheet10, Solution, ws10_santa.mw
Jan 9, Jan 16	Introduction to Finite Element Methods - Part I	09_pde_fem.pdf Maple worksheet: fem.mw (also as PDF)
Jan 11	Worksheet 11	Worksheet11, Solution
Jan 16	Introduction to Finite Element Methods - Part II	09_pde_fem.pdf
Jan 16	Worksheet 12	Worksheet12, Solution, hierarchical.mw
Jan 23	Case Study: Computational Fluid Dynamics - Part I	10_cfd.pdf
Jan 25	Worksheet 13	Worksheet13, Solution, massmatrix.mw, ws13_27c.mw
Jan 30	Case Study: Computational Fluid Dynamics - Part II	10_cfd.pdf (Note: slides have been corrected&updated since Jan 23!)
Feb 6	Case Study: Computational Fluid Dynamics - Part III	10_cfd.pdf

Exams

Finals

• Date of final exam: 11 Feb 2013, 10.00am.
  Please be on time - the working time will start at 10.15, at the latest, and there will be organizational remarks and announcements before
• Registration: via TUM-Online
• Room: MW 0350 (in the Department of Mechanical Engineering)
• Helping material: A hand-written A4 sheet (written on both sides) will be allowed as helping material during the exam - all other items (incl. electronic devices of any kind) will be forbidden.
• Exam review: March 8, 13.00 - 14.30 (room: MI 02.07.023) and March 14, 13.00-14.30 (room: E.2.044 in Leibniz Supercomputing Centre, Boltzmannstr. 1)

Repeat Exam

• Date of final exam: 18 Apr 2013, 16.00am.
  Please be on time - the working time will start at 16.15, at the latest, and there will be organizational remarks and announcements before
• Registration: via TUM-Online
• Room: MI 02.07.023
• Helping material: A hand-written A4 sheet (written on both sides) will be allowed as helping material during the exam - all other items (incl. electronic devices of any kind) will be forbidden.
• Exam topics are the same as for the regular exam.

Preparation for Exam

Please note that the extent (in semester hours) and content of the lecture has changed from winter term 2012/13. Hence, previous years' exams might miss topics discussed in this year or contain material that is no longer covered in the lecture.

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

• 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)