Universität Wien

260091 VO Scientific Computing (2022S)

3.00 ECTS (2.00 SWS), SPL 26 - Physik
Moodle

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Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 08.03. 10:45 - 12:15 Josef-Stefan-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Tuesday 15.03. 10:45 - 12:15 Josef-Stefan-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Tuesday 22.03. 10:45 - 12:15 Josef-Stefan-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Tuesday 29.03. 10:45 - 12:15 Josef-Stefan-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Tuesday 05.04. 10:45 - 12:15 Josef-Stefan-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Tuesday 26.04. 10:45 - 12:15 Josef-Stefan-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Tuesday 03.05. 10:45 - 12:15 Josef-Stefan-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Tuesday 10.05. 10:45 - 12:15 Josef-Stefan-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Tuesday 17.05. 10:45 - 12:15 Josef-Stefan-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Tuesday 24.05. 10:45 - 12:15 Josef-Stefan-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Tuesday 31.05. 10:45 - 12:15 Josef-Stefan-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Tuesday 14.06. 10:45 - 12:15 Josef-Stefan-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Tuesday 21.06. 10:45 - 12:15 Josef-Stefan-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien

Information

Aims, contents and method of the course

This course deals with basic methods of scientific computing, leaning towards applications in theoretical physics. Scientific Computing is an interdisciplinary field of study, situated between numerical analysis, computer science and natural science. Nowadays, numerical simulations are used to conduct expensive or practically impossible experiments in complex mathematical models of a given physical system. The insights obtained by the simulations may, in turn, suggest new directions for theory.
The students acquire methods for the numerical analysis and the solution of problems in physics.
In the course of the lecture, the following topics will be discussed using simple numerical algorithms: Linear Systems of Equations; Interpolation; Numerical Differentiation; Numerical Integration; Solution of Nonlinear Equations; Fitting; Eigenvalueproblems; Ordinary and Partial Differential Equations. In the concomitant exercises these algorithms will be applied to examples, implemented and visualized.

Assessment and permitted materials

Written exam; no written materials are allowed. Exam time is approximately 1 hour and 30 minutes. Due to the Covid-19 pandemic, a change in the mode of testing (on-site or digital) may be required during the semester. If necessary, information on the performance review mode will be updated.

Minimum requirements and assessment criteria

One can achieve typically 40-48 points in the written exam. A minimum of half the points is required for a positive grade. Specifically
Grade 1 100.00% - 87.00%
Grade 2 86.99% - 75.00%
Grade 3 74.99% - 63.00%
Grade 4 62.99% - 50.00%
Failed 49.99% - 0.00%

Examination topics

The material taught in the lecture and during the exercises according to the lecture notes as well as presentation slides and application of this knowledge to simple problems.

Reading list

1) Skriptum und Vortragsfolien @ E-Learning platform Moodle
2) G. Bärwolff, "Numerik für Ingenieure, Physiker und Informatiker", 2016 Springer-Verlag 2nd ed.; DOI 10.1007/978-3-662-48016-8_1 (weiterführend zu allen Kapiteln der Vorlesung mit Beispielen und Programmen, als E-book via u:access verfügbar)
3) A. Quarteroni, F. Saleri und P. Gervasio, "Scientific Computing with MATLAB and Octave", 2010 Springer-Verlag 3rd ed.; ISBN 978-3-642-12429-7
4) P. Deuflhard und A. Hohmann, "Numerical Analysis in Modern Scientific Computing An Introduction", 2003 Springer-Verlag 2nd ed.; ISBN 978-0-387-95410-3
(mathematisch elegant, tiefgehender, enthält kein Material über Differentialgleichungen)
5) P. Deuflhard und A. Hohmann, "Numerische Mathematik 1: Eine algorithmisch orientierte Einführung", 2008 Walter de Gruyter 4th ed.; (1. Band der umfassenden Serie zu Numerischer Mathematik in deutscher Sprache, keine Differentialgleichungen, als E-book via u:access verfügbar)
6) P. Deuflhard und F. Bornemann, "Numerische Mathematik 2: Gewöhnliche Differentialgleichungen", 2013 Walter de Gruyter 4th ed.; (2. Band der umfassenden Serie zu Numerischer Mathematik in deutscher Sprache, als E-book via u:access verfügbar)
7) P. Deuflhard und M. Weiser, "Numerische Mathematik 3: Adaptive Lösung partieller Differentialgleichungen", 2011 Walter de Gruyter; (3. Band der umfassenden Serie zu Numerischer Mathematik in deutscher Sprache, als E-book via u:access verfügbar)

Association in the course directory

SCICOM, UF MA PHYS 01a, UF MA PHYS 01b

Last modified: Fr 21.10.2022 08:49