Scientific Computing I - Winter 17: Difference between revisions

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| 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 = [[Steffen Seckler]] <br> time and place: <br>&nbsp; I group: Wednesday, 14:15-15:45, MI 02.07.023, <br>&nbsp;II group: Monday, 14:15-15:45, MI 03.13.010  
| tutorials = [[Steffen Seckler]] <br> time and place: <br>&nbsp; I group: Wednesday, 14:15-15:45, MI 02.07.023, <br>&nbsp;II group: Monday, 14:15-15:45, MI 03.13.010  
| exam = written exam<!--: Mar 3rd, 2017, 13:30, room: 00.02.001, MI HS 1, Friedrich L. Bauer Hörsaal (5602.EG.001) <br> exam review: Mar 13, 2017, 09:00-11:00, room 02.07.023<br> 2nd exam: Apr 11, 2017, 11:00<br> 2nd exam review: <font color="red">Mai 04, 2017, 16:15-17:45, room 02.07.023</font>'''--> (see below for details)
| exam = Monday, Feb 26, 2018, 13:15, room: CH 21010, Hans-Fischer-Hörsaal (5401.01.101K) <br> '''2nd exam''': Wednesday, Mar 28, 2018, 11:00-12:30.
| tumonline = [https://campus.tum.de/tumonline/wblv.wbShowLvDetail?pStpSpNr=950316565&pSpracheNr=2 lecture], [https://campus.tum.de/tumonline/wblv.wbShowLvDetail?pStpSpNr=950320117&pSpracheNr=2 tutorial], [https://www.moodle.tum.de/course/view.php?id=38372 Moodle]
| tumonline = [https://campus.tum.de/tumonline/wblv.wbShowLvDetail?pStpSpNr=950316565&pSpracheNr=2 lecture], [https://campus.tum.de/tumonline/wblv.wbShowLvDetail?pStpSpNr=950320117&pSpracheNr=2 tutorial], [https://www.moodle.tum.de/course/view.php?id=38372 Moodle]
}}
}}
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* The tutorial does not take place on the <font color="red">22nd of December</font>.
* The tutorial does not take place on the <font color="red">22nd of December</font>.
-->
-->
* '''Repetition exam review: Apr 25, Wed, 08:00-10:00 AM, MI 02.05.057'''. Student ID required.


= Contents =
= Contents =
Line 90: Line 91:
| Dec 11/13
| Dec 11/13
| Worksheet 6
| Worksheet 6
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt6.pdf Worksheet 6], <!--[http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt6solution.pdf Solution 6], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws6_ex1.py ws6_ex1.py]-->
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt6.pdf Worksheet 6], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt6_solution.pdf Solution 6], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws6_ex1.py ws6_ex1.py],
<!--
[http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws6_ex3.py ws6_ex3.py],
|-
[http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws6_ex1.ipynb ws6_ex1.ipynb],
| Dec 12/14
[http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws6_ex3.ipynb ws6_ex3.ipynb],
| Worksheet 7
[http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws6_ex5.ipynb ws6_ex5.ipynb]
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt7.pdf Worksheet 7], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt7solution.pdf Solution 7], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws7_ex3.py ws7_ex3.py]
-->
|-
|-
| Dec 6/13
| Dec 6/13
| Heat Transfer - Discrete and Continuous Models, Finite Difference and Finite Volume Methods
| Heat Transfer - Discrete and Continuous Models, <br>Finite Difference and Finite Volume Methods
| slides: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/heatmodel.pdf heatmodel.pdf] <br>python worksheets: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/py/SciComp_Heat_Transfer.py Heat Transfer] <br>maple worksheets: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/maple/poisson2D.mws poisson2D.mws], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/maple/poisson2D.pdf poisson2D.pdf]  
| slides: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/heatmodel.pdf heatmodel.pdf] <br>python worksheets: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/py/SciComp_Heat_Transfer.py Heat Transfer] <br>maple worksheets: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/maple/poisson2D.mws poisson2D.mws], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/maple/poisson2D.pdf poisson2D.pdf]  
<!--
|-
|-
| Dec 19/21
| Dec 18/20
| Worksheet 8
| Worksheet 7
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt8.pdf Worksheet 8], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt8solution.pdf Solution 8], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws8_ex1.py ws8_ex1.py]
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt7.pdf Worksheet 7], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt7_solution.pdf Solution 7], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws7_ex3.py ws7_ex3.py]
|-
|-
| Dec 21
| Dec 13/20
| 1D Heat Equation - Analytical and Numerical Solutions
| 1D Heat Equation - Analytical and Numerical Solutions
| slides: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws16/heateq.pdf heateq.pdf], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/heatenergy.pdf heatenergy.pdf] <br>
| slides: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/heateq.pdf heateq.pdf], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/heatenergy.pdf heatenergy.pdf] <br>
python worksheets: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/py/SciComp_heat_1D_disc.py 1D Heat Equation],  
python worksheets: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/py/SciComp_heat_1D_disc.py 1D Heat Equation],  
<br>[http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/py/SciComp_heat_1D_impl.py 1D Heat Equation - Implicit Schemes]
<br>[http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/py/SciComp_heat_1D_impl.py 1D Heat Equation - Implicit Schemes]
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<br>[http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/maple/heat1D_impl.mw heat1D_impl.mw], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/maple/maple_heat1D_impl.pdf maple_heat1D_impl.pdf]
<br>[http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/maple/heat1D_impl.mw heat1D_impl.mw], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/maple/maple_heat1D_impl.pdf maple_heat1D_impl.pdf]
|-
|-
| Jan 9/11
| Jan 08/10
| Worksheet 8
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt8.pdf Worksheet 8], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt8_solution.pdf Solution 8], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws8_ex1.py ws8_ex1.py]
|-
| Jan 10/17
| Introduction to Finite Element Methods <!-- - Part I <br> Introduction to Finite Element Methods - Part II -->
| slides: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/pde_fem.pdf pde_fem.pdf] <br> maple worksheets: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/maple/fem.mw fem.mw], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/maple/maple_fem.pdf maple_fem.pdf]<br>python worksheets: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/py/SciComp_FEM.py FEM]
|-
| Jan 15/17
| Worksheet 9
| Worksheet 9
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt9.pdf Worksheet 9],  [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt9solution.pdf Solution 9], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws9_ex2.py ws9_ex2.py]
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt9.pdf Worksheet 9],  [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt9_solution.pdf Solution 9], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws9_ex2.py ws9_ex2.py]
|-
|-
| Jan 11 <br> Jan 18/25
| Jan 22/24
| Introduction to Finite Element Methods - Part I <br> Introduction to Finite Element Methods - Part II
| Worksheet 10
| slides: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws16/pde_fem.pdf pde_fem.pdf] <br> maple worksheets: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/maple/fem.mw fem.mw], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/maple/maple_fem.pdf maple_fem.pdf]<br>python worksheets: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws15/py/SciComp_FEM.py FEM]  
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt10.pdf Worksheet 10] ,[http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt10_solution.pdf Solution 10], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws10_ex2.py ws10_ex2.py]
|-
|-
| Jan 16/18
| Jan 24, 31<br/> Feb 7
| Worksheet 10
| Case Study: Computational Fluid Dynamics
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt10.pdf Worksheet 10] ,[http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt10solution.pdf Solution 10], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws10_ex2.py ws10_ex2.py]
| slides: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/study_cfd.pdf study_cfd.pdf]  
|-  
|-  
| Jan 23/25
| Jan 29/31
| Worksheet 11
| Worksheet 11
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt11.pdf Worksheet 11], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt11solution.pdf Solution 11], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws11_ex2.py ws11_ex2.py]
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt11.pdf Worksheet 11], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt11_solution.pdf Solution 11], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws11_ex2.py ws11_ex2.py]
|-
| Jan 25<br/> Feb 1, 8
| Case Study: Computational Fluid Dynamics
| slides: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws16/study_cfd.pdf study_cfd.pdf]  
|-  
|-  
| Jan 30/Feb 1
| Feb 5/Feb 7
| Worksheet 12  
| Worksheet 12  
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt12.pdf Worksheet 12], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt12solution.pdf Solution 12], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws12_ex1.py ws12_ex1.py]
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt12.pdf Worksheet 12], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt12_solution.pdf Solution 12], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws12_ex1.py ws12_ex1.py]
|-  
<!--|-  
| Feb 6/8
| Feb 6/8
| Worksheet 13
| Worksheet 13
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt13.pdf Worksheet 13], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt13solution.pdf Solution 13], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws13_ex1.py ws13_ex1.py], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws13_ex2.py ws13_ex2.py]-->
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt13.pdf Worksheet 13], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/uebungen/blatt13_solution.pdf Solution 13], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws13_ex1.py ws13_ex1.py], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/py/ws13_ex2.py ws13_ex2.py]-->
|}
|}


= Exams =
= Exams =
* 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.   
* 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.   
* a repeat exam will be offered (presumably in April 2018)
* Exam topics are all topics covered during the lectures. An overview is given on slide 33 of the CFD slide-set: [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws17/study_cfd.pdf study_cfd.pdf].
<!-- * a repeat exam will be offered -->


<!--
=== Final Exam ===
=== Final Exam ===


* Date of final exam: Mar 3rd, 2017, 13:30, room: 00.02.001, MI HS 1, Friedrich L. Bauer Hörsaal (5602.EG.001)
* Date of final exam: Feb 26, 2018, 13:30-15.00, room: Hans-Fischer-Hörsaal (CH 21010, Chemistry Department)
* Please be on time - the working time will start at 13.30, at the latest, and there will be organizational remarks and announcements before
* Please be on time (13.15 in the lecture hall) - the working time will start at 13.30, at the latest, and there will be organizational remarks and announcements before
* Registration: via TUM-Online
* Registration: via TUM-Online
* Exam topics are all topics covered during the lectures. See the catalogue of exam questions and previous years' exams below.
<!--
* 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)'''
* 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 ==
=== Repeat Exam ===


* repeat exam is currently scheduled on Mar 28, 2018, 11:00-12:30.
<!--
* Date of final exam: 18 Apr 2013, 16.00am.<br>Please be on time - the working time will start at 16.15, at the latest, and there will be organizational remarks and announcements before
* Date of final exam: 18 Apr 2013, 16.00am.<br>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
* Registration: via TUM-Online
Line 164: Line 169:
* Exam topics are the same as for the regular exam.
* Exam topics are the same as for the regular exam.
-->
-->
=== 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.
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/questions_ode.pdf Modelling, ODEs]
* [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]
=== 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.
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/midterm_ws02.pdf midterm exam winter 02/03], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/midterm_solution_ws02.pdf Solution]
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/final_ws02.pdf final exam winter 02/03], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/final_solution_ws02.pdf Solution]
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/midterm_ws04.pdf midterm exam winter 04/05], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/midterm_solution_ws04.pdf Solution]
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/final_ws04.pdf final exam winter 04/05], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/final_solution_ws04.pdf Solution]
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/exam05.pdf exam winter 05/06]
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/exam06.pdf exam winter 06/07]
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/exam07.pdf exam winter 07/08], [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/exam07_solution.pdf solution]
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/exam_11-12.pdf exam winter 11/12]
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/exam_11-12_repeat.pdf exam winter repeat 11/12]
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/exam_12-13.pdf exam winter 12/13]
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/exam_13-14.pdf exam winter 13/14]
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/exam_13-14_repeat.pdf exam winter repeat 13/14]
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/exam_14-15.pdf exam winter 14/15]
* [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/exam/exam_14-15_repeat.pdf exam winter repeat 14/15]


= Literature =
= Literature =

Latest revision as of 15:07, 12 October 2022

Term
Winter 17
Lecturer
Prof. Dr. Michael Bader
Time and Place
Wednesday, 10-12; MI HS 2 (starts Oct 25)
Audience
Computational Science and Engineering, 1st semester
Tutorials
Steffen Seckler
time and place:
  I group: Wednesday, 14:15-15:45, MI 02.07.023,
 II group: Monday, 14:15-15:45, MI 03.13.010
Exam
Monday, Feb 26, 2018, 13:15, room: CH 21010, Hans-Fischer-Hörsaal (5401.01.101K)
2nd exam: Wednesday, Mar 28, 2018, 11:00-12:30.
Semesterwochenstunden / ECTS Credits
4 SWS (2V+2Ü) / 5 Credits
TUMonline
lecture, tutorial, Moodle



Announcements

  • Repetition exam review: Apr 25, Wed, 08:00-10:00 AM, MI 02.05.057. Student ID required.

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 25 Introduction - CSE/Scientific Computing as a discipline
Population Models - Discrete Modeling
slides: discipline.pdf,
fibo.pdf
Nov 6/8 Worksheet 1 Worksheet 1, Solution 1
Nov 13/15
Nov 20/22
Worksheet 2/3 Worksheet 2/3, Solution 2/3
Nov 15 Population Models - Continuous Modelling (Parts I to II) slides: population.pdf
python worksheets: Population Models
maple worksheets: popmodel.mw,
maple_popmodel.pdf
Nov 22 Population Models - Continuous Modelling (parts III to IV) slides: population2.pdf
python worksheets: Lotka Volterra,
maple worksheets: lotkavolt.mws,
maple_lotkavolt.pdf
Nov 27/29 Worksheet 4 Worksheet 4, Solution 4,

ws4_ex3_misc.ipynb

Nov 29 Numerical Methods for ODEs
(part I)
slides: ode_numerics.pdf
python worksheets: Numerics ODE
maple worksheets: numerics_ode.mws,
maple_numerics_ode.pdf
ipython:

SciComp_Numerics_ODE.ipynb

Dec 4/6 Worksheet 5 Worksheet 5,

Solution 5, ws5_ex1.py
ipython notebook version: ws5ex1.ipynb

Dec 6 Numerical Methods for ODEs
(part II)
slides: ode_numerics.pdf
python scripts for visualisation of stability: unstable explLLM2 example,
visualisation of stability regions,
explicit midpoint rule examples (Martini glass effec),
Martini glass effect in scaled plot
Dec 11/13 Worksheet 6 Worksheet 6, Solution 6, ws6_ex1.py,

ws6_ex3.py, ws6_ex1.ipynb, ws6_ex3.ipynb, ws6_ex5.ipynb

Dec 6/13 Heat Transfer - Discrete and Continuous Models,
Finite Difference and Finite Volume Methods
slides: heatmodel.pdf
python worksheets: Heat Transfer
maple worksheets: poisson2D.mws, poisson2D.pdf
Dec 18/20 Worksheet 7 Worksheet 7, Solution 7, ws7_ex3.py
Dec 13/20 1D Heat Equation - Analytical and Numerical Solutions slides: heateq.pdf, heatenergy.pdf

python worksheets: 1D Heat Equation,
1D Heat Equation - Implicit Schemes
maple worksheets: heat1D_disc.mw, maple_heat1D_disc.pdf,
heat1D_impl.mw, maple_heat1D_impl.pdf

Jan 08/10 Worksheet 8 Worksheet 8, Solution 8, ws8_ex1.py
Jan 10/17 Introduction to Finite Element Methods slides: pde_fem.pdf
maple worksheets: fem.mw, maple_fem.pdf
python worksheets: FEM
Jan 15/17 Worksheet 9 Worksheet 9, Solution 9, ws9_ex2.py
Jan 22/24 Worksheet 10 Worksheet 10 ,Solution 10, ws10_ex2.py
Jan 24, 31
Feb 7
Case Study: Computational Fluid Dynamics slides: study_cfd.pdf
Jan 29/31 Worksheet 11 Worksheet 11, Solution 11, ws11_ex2.py
Feb 5/Feb 7 Worksheet 12 Worksheet 12, Solution 12, ws12_ex1.py

Exams

  • 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 all topics covered during the lectures. An overview is given on slide 33 of the CFD slide-set: study_cfd.pdf.

Final Exam

  • Date of final exam: Feb 26, 2018, 13:30-15.00, room: Hans-Fischer-Hörsaal (CH 21010, Chemistry Department)
  • Please be on time (13.15 in the lecture hall) - the working time will start at 13.30, at the latest, and there will be organizational remarks and announcements before
  • Registration: via TUM-Online

Repeat Exam

  • repeat exam is currently scheduled on Mar 28, 2018, 11:00-12:30.

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; available as eBook in the TUM library)
  • 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 in the TUM library)
  • 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