Universität Wien
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260018 VO Scientific Computing (2018S)

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

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Thursday 08.03. 09:15 - 11:05 Christian-Doppler-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien (Kickoff Class)
  • Thursday 15.03. 09:15 - 11:05 Christian-Doppler-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Thursday 22.03. 09:15 - 11:05 Christian-Doppler-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Thursday 12.04. 09:15 - 11:05 Christian-Doppler-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Thursday 19.04. 09:15 - 11:05 Christian-Doppler-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Thursday 26.04. 09:15 - 11:05 Christian-Doppler-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Thursday 03.05. 09:15 - 11:05 Christian-Doppler-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Thursday 17.05. 09:15 - 11:05 Christian-Doppler-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Thursday 24.05. 09:15 - 11:05 Christian-Doppler-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Thursday 07.06. 09:15 - 11:05 Christian-Doppler-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Thursday 14.06. 09:15 - 11:05 Christian-Doppler-Hörsaal, Boltzmanngasse 5, 3. Stk., 1090 Wien
  • Thursday 21.06. 09:15 - 11:05 Christian-Doppler-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, lecture notes are not allowed. Time of examination is 1.5 h at maximum.
1st examination date: June 28th 2018, 09:15-10:45 am in the Christian Doppler lecture hall (Strudelhofgasse 4, 3. Stock). Registration for the examination in U:SPACE is required.

Minimum requirements and assessment criteria

One can achieve 48 points in the written exam. A minimum of 25 points is required for a positive mark.

Examination topics

The material taught in the lecture according to the lecture notes and application of this knowledge to simple problems

Reading list

1) Lecture Notes and presentation slides @ 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 (German; further reading, many exercises and programs, as E-book via u:access available)
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
(further reading with deeper mathematical matter, does not contain differential equations)
5) P. Deuflhard und A. Hohmann, "Numerische Mathematik 1: Eine algorithmisch orientierte Einführung", 2008 Walter de Gruyter 4th ed.; (German; 1st volume of the German series in Numerical Mathematics, does not contain differential equations, as E-book via u:access available)
6) P. Deuflhard und F. Bornemann, "Numerische Mathematik 2: Gewöhnliche Differentialgleichungen", 2013 Walter de Gruyter 4th ed.; (German; 2nd volume of the German series in Numerical Mathematics, as E-book via u:access available)
7) P. Deuflhard und M. Weiser, "Numerische Mathematik 3: Adaptive Lösung partieller Differentialgleichungen", 2011 Walter de Gruyter; (German; 3rd volume of the German series in Numerical Mathematics, as E-book via u:access available)

Association in the course directory

P 14

Last modified: Mo 07.09.2020 15:40