Scientific Computing I  Winter 14
 Term
 Winter 14
 Lecturer
 Dr. rer. nat. Tobias Neckel
 Time and Place
 Wednesday, 10:1511:45; Interims Hörsaal 2 (5620.01.102), (starts Oct 15)
 Audience
 Computational Science and Engineering, 1st semester
 Tutorials
 Denis Jarema, time and place: I group: Monday, 1618, MI 03.13.010, II group: Monday, 1416, MI 03.13.010 (starts Oct 20)
 Exam
 written exam Jan 30, 2015, 16:3018:00, room: Interimshörsaal 1
 Semesterwochenstunden / ECTS Credits
 4 SWS (2V+2Ü) / 5 Credits
 TUMonline
 tumonline lecture, tumonline tutorial
Contents
Announcements
 The repetition exam review will take place on Thursday, April 16, 16:1517:30, in room 02.07.023.
 The repetition exam will take place on Wednesday, April 8, 14:3016:00, in MI Hörsaal 3 (00.06.011, 5606.EG.011), 1 handwritten DinA4 page (both sides) is the only allowed aid.
 The exam review will take place on Friday, February 13, 10:0011:00, in room 02.07.023.
 The exam will take place on Friday, January 30, 16:3018:00, in Interims Hörsaal 1 (5620.01.101), 1 handwritten DinA4 page (both sides) is the only allowed aid.
 The tutorial does not take place on the 22nd of December.
 The lecture does not take place on the 22nd of October due to the plenary meeting of the student's union.
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 15  Introduction  CSE/Scientific Computing as a discipline  slides: discipline.pdf, fibo.pdf printing versions: discipline2x4.pdf, fibo2x4.pdf 
Oct 20  Worksheet 1 (for the lecture on Oct 15)  Worksheet 1, Solution 1 
Oct 27  Worksheet 2 (for the lecture on Oct 15)  Worksheet 2, Solution 2 
Oct 29  Population Models  Continuous Modelling (Parts I to IV)  slides: population.pdf python worksheets: Lotka Volterra, Population Models maple worksheets: lotkavolt.mws, popmodel.mw maple_lotkavolt.pdf, maple_popmodel.pdf printing version: population2x4.pdf 
Nov 3  Worksheet 3 (for the lecture on Oct 29)  Worksheet 3, Solution 3 
Nov 5  Population Models  Continuous Modelling (Parts I to IV)  slides: population2.pdf printing version: population22x4.pdf 
Nov 10  Worksheet 4 (for the lecture on Nov 5)  Worksheet 4, Solution 4, ws4_ex1.py 
Nov 12 Nov 18 
Numerical Methods for ODEs  slides: ode_numerics.pdf python worksheets: Numerics ODE maple worksheets: numerics_ode.mws, maple_numerics_ode.pdf printing version: ode_numerics2x4.pdf 
Nov 17  Worksheet 5 (for the lecture on Nov 12)  Worksheet 5, Solution 5, ws5_ex1.py 
Nov 24  Worksheet 6 (for the lecture on Nov 18)  Worksheet 6, Solution 6, ws6_ex3.py 
Nov 26  Heat Transfer  Discrete and Continuous Models  slides: heatmodel.pdf python worksheets: Heat Transfer maple worksheets: poisson2D.mws, poisson2D.pdf printing version: heatmodel2x4.pdf 
Dec 1  Worksheet 7 (for the lecture on Nov 18)  Worksheet 7, Solution 7, ws7_ex1.py 
Dec 3  1D Heat Equation  Analytical and Numerical Solutions  slides: heateq.pdf, heatenergy.pdf python worksheets: 1D Heat Equation,

Dec 8  Worksheet 8 (for the lecture on Nov 26)  Worksheet 8, Solution 8, ws8_ex2.py 
Dec 10 Jan 7 
Introduction to Finite Element Methods  Part I Introduction to Finite Element Methods  Part II 
slides: pde_fem.pdf maple worksheets: fem.mw, maple_fem.pdf python worksheets: FEM printing version: pde_fem2x4.pdf 
Dec 15  Worksheet 9 (for the lecture on Dec 3)  Worksheet 9, Solution 9, ws9_ex2.py 
Jan 12  Worksheet 10 (for the lectures on Dec 10 and Jan 7)  Worksheet 10, Solution 10 
Jan 14 Jan 21 
Case Study: Computational Fluid Dynamics  slides: study_cfd.pdf printing version: study_cfd2x4.pdf 
Jan 19  Worksheet 11 (for the lecture on Dec 10 and Jan 7)  Worksheet 11, Solution 11, ws11_ex1.py 
Jan 26  Worksheet 12 (for the lecture on Dec 10 and Jan 7)  Worksheet 12, Solution 12, ws12_ex1.py, ws12_ex2.py 
Exams
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.
Last Years' Exams
Please, be aware that there are always slight changes in topics between the different years' lectures. Hence, the previous exams are not fully representative for this year's exam.
 midterm exam winter 02/03, Solution
 final exam winter 02/03, Solution
 midterm exam winter 04/05, Solution
 final exam winter 04/05, Solution
 exam winter 05/06
 exam winter 06/07
 exam winter 07/08, solution
Literature
Books and Papers
 A.B. Shiflet and G.W. Shiflet: Introduction to Computational Science, Princeton University Press (in particular Chapter 3,5,6)
 G. Strang: Computational Science and Engineering, WellesleyCambridge Press, 2007
 G. Golub and J. M. Ortega: Scientific Computing and Differential Equations, Academic Press (in particular Chapter 14,8)
 Tveito, Winther: Introduction to Partial Differential Equations  A Computational Approach, Springer, 1998 (in particular Chapter 14,7,10)
 A. Tveito, H.P. Langtangen, B. Frederik Nielsen und X. Cai: Elements of Scientific Computing, Texts in Computational Science and Engineering 7, Springer, 2010 (available as ebook)
 B. DiPrima: Elementary Differential Equations and Boundary Value Problems, Wiley, 1992 (excellent online material)
 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)
Online Material
 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)