Scientific Computing I - Winter 11: Difference between revisions

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| October 27 | [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/slides/01_discipline.pdf Introduction]<br>[http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/slides/02_fibonacci.pdf Population Modelling - Discrete Models] | Further Reading: [http://www.deixismagazine.org/2011/04/a-long-view-of-gulf-oil-spill/ A Real World Application Example]<br>[http://plato.stanford.edu/entries/models-science/ Models in Science (Stanford Encyclopedia of Philosophy)]  
| October 27  
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/slides/01_discipline.pdf Introduction]<br>[http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/slides/02_fibonacci.pdf Population Modelling - Discrete Models]  
| Further Reading: [http://www.deixismagazine.org/2011/04/a-long-view-of-gulf-oil-spill/ A Real World Application Example]<br>[http://plato.stanford.edu/entries/models-science/ Models in Science (Stanford Encyclopedia of Philosophy)]  
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| November 3 | [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/slides/03_population.pdf Population Modelling - ODEs] | Further Reading:
| November 3  
| [http://www5.in.tum.de/lehre/vorlesungen/sci_comp/ws11/slides/03_population.pdf Population Modelling - ODEs]  
| Further Reading:
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| November 10
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| November 24  
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| December 1 | |  
| December 1  
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| December 8 | no lecture, Dies Academicus |
| December 8  
| no lecture, Dies Academicus  
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| December 15 | |
| December 15 | |

Revision as of 12:32, 27 October 2011

Term
Winter 11
Lecturer
Dr. rer. nat. habil. Miriam Mehl
Time and Place
Thursday, 10:00-12:00;
Audience
Computational Science and Engineering, 1st semester (Module IN2005)
Tutorials
-
Exam
written exam
Semesterwochenstunden / ECTS Credits
2 SWS (2V) / 3 Credits
TUMonline
{{{tumonline}}}



Announcements

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


Lecture Notes and Material

October 20 no lecture (SET)
October 27 Introduction
Population Modelling - Discrete Models 		Further Reading: A Real World Application Example
Models in Science (Stanford Encyclopedia of Philosophy)
November 3 Population Modelling - ODEs Further Reading:
November 10
November 24
December 1
December 8 no lecture, Dies Academicus
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Exams

Literature

Books and Papers

  • B. DiPrima: Elementary Differential Equations and Boundary Value Problems, Wiley, 1992 (excellent online material)
  • A.B. Shiflet and G.W. Shiflet: Introduction to Computational Science, Princeton University Press (in particular Chapter 3,5,6)
  • G. Golub and J. M. Ortega: Scientific Computing and Differential Equations, Academic Press (in particular Chapter 1-4,8)
  • 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)
  • Tveito, Winther: Introduction to Partial Differential Equations - A Computational Approach, Springer, 1998 (in particular Chapter 1-4,7,10)


Online Material

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