Scientific Computing I - Winter 16: Difference between revisions

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(updated time of monday group)
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| credits = 4 SWS (2V+2Ü) / 5 Credits
| credits = 4 SWS (2V+2Ü) / 5 Credits
| audience = Computational Science and Engineering, 1st semester <!--(Module [https://campus.tum.de/tumonline/wbStpModHB.detailPage?pKnotenNr=456354&pExtView=N&pCaller=MODHBAPP&pCallerOrgNr=14189 IN2005])-->
| audience = Computational Science and Engineering, 1st semester <!--(Module [https://campus.tum.de/tumonline/wbStpModHB.detailPage?pKnotenNr=456354&pExtView=N&pCaller=MODHBAPP&pCallerOrgNr=14189 IN2005])-->
| tutorials = [[Denis Jarema, M.Sc. (hons)|Denis Jarema]], [[Steffen Seckler]] <br> time and place: <br>&nbsp; I group: Wednesday, 14-16, MI 02.07.023, <br>&nbsp;II group: Monday, 14-16, MI 03.13.010 <!--(starts Oct 26)-->
| tutorials = [[Denis Jarema, M.Sc. (hons)|Denis Jarema]], [[Steffen Seckler]] <br> time and place: <br>&nbsp; I group: Wednesday, 14-16, MI 02.07.023, <br>&nbsp;II group: Monday, 14:15-15:45, MI 03.13.010 <!--(starts Oct 26)-->
| exam = <!--'''written exam: <font color="red">Feb 18, 2016, 10:30-12:00, room: 00.02.001, MI HS 1, Friedrich L. Bauer Hörsaal (5602.EG.001)</font> <br> exam review: <font color="red">Feb 29, 2016, 12:30-13:15, room 02.07.023</font><br> 2nd exam: <font color="red">Apr 07, 2016, 11:00-12:30, room MW2050 (moved!)</font><br> 2nd exam review: <font color="red">Apr 27, 2016, 16:00-17:30, room 02.05.058</font>'''-->
| exam = <!--'''written exam: <font color="red">Feb 18, 2016, 10:30-12:00, room: 00.02.001, MI HS 1, Friedrich L. Bauer Hörsaal (5602.EG.001)</font> <br> exam review: <font color="red">Feb 29, 2016, 12:30-13:15, room 02.07.023</font><br> 2nd exam: <font color="red">Apr 07, 2016, 11:00-12:30, room MW2050 (moved!)</font><br> 2nd exam review: <font color="red">Apr 27, 2016, 16:00-17:30, room 02.05.058</font>'''-->
| tumonline = tba<!--[https://campus.tum.de/tumonline/wblv.wbShowLvDetail?pStpSpNr=950158807&pSpracheNr=2&pMUISuche=FALSE tumonline lecture], [https://campus.tum.de/tumonline/wblv.wbShowLvDetail?pStpSpNr=950184822&pSpracheNr=1&pMUISuche=FALSE tumonline tutorial]-->
| tumonline = tba<!--[https://campus.tum.de/tumonline/wblv.wbShowLvDetail?pStpSpNr=950158807&pSpracheNr=2&pMUISuche=FALSE tumonline lecture], [https://campus.tum.de/tumonline/wblv.wbShowLvDetail?pStpSpNr=950184822&pSpracheNr=1&pMUISuche=FALSE tumonline tutorial]-->

Revision as of 12:09, 24 October 2016

Term
Winter 16
Lecturer
Prof. Dr. Michael Bader
Time and Place
Wednesday, 10-12; MI HS 2 (starts Oct 26)
Audience
Computational Science and Engineering, 1st semester
Tutorials
Denis Jarema, Steffen Seckler
time and place:
  I group: Wednesday, 14-16, MI 02.07.023,
 II group: Monday, 14:15-15:45, MI 03.13.010
Exam
Semesterwochenstunden / ECTS Credits
4 SWS (2V+2Ü) / 5 Credits
TUMonline
tba



Announcements

  • The lecture in the first week (on Oct 19) will be cancelled, as the CSE students have an alternate program on this day

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

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.

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, Wellesley-Cambridge Press, 2007
  • G. Golub and J. M. Ortega: Scientific Computing and Differential Equations, Academic Press (in particular Chapter 1-4,8)
  • Tveito, Winther: Introduction to Partial Differential Equations - A Computational Approach, Springer, 1998 (in particular Chapter 1-4,7,10)
  • 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

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