Universität Wien

260091 VO Scientific Computing (2021S)

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

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Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Details on the digital mode: You will receive detailed information in the kick-off meeting (first lecture date). This will take place digitally with the video conferencing tool "Collaborate". You will find the link in the Moodle course.

  • Monday 08.03. 13:00 - 14:30 Digital
  • Monday 15.03. 13:00 - 14:30 Digital
  • Monday 22.03. 13:00 - 14:30 Digital
  • Monday 12.04. 13:00 - 14:30 Digital
  • Monday 19.04. 13:00 - 14:30 Digital
  • Monday 26.04. 13:00 - 14:30 Digital
  • Monday 03.05. 13:00 - 14:30 Digital
  • Monday 10.05. 13:00 - 14:30 Digital
  • Monday 17.05. 13:00 - 14:30 Digital
  • Monday 31.05. 13:00 - 14:30 Digital
  • Monday 07.06. 13:00 - 14:30 Digital
  • Monday 14.06. 13:00 - 14:30 Digital
  • Monday 21.06. 13:00 - 14:30 Digital

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 1 hour and 15 minutes.
Examinations will again be conducted in presence as of winter semester 21/22. If the Covid-19 pandemic necessitates a change in exam mode (from face-to-face to digital) during the semester, the performance review type information 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) 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 (further reading to all chapters of the lecture notes with many examples and programs, available as E-book via u:access)
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
(mathematically more profound, more in-depth, does not contain material on differential equations)
5) P. Deuflhard und A. Hohmann, "Numerische Mathematik 1: Eine algorithmisch orientierte Einführung", 2008 Walter de Gruyter 4th ed.; (1st volume of the comprehensive series on Numerical Mathematics in German, no differential equations, available as e-book via u:access)
6) P. Deuflhard und F. Bornemann, "Numerische Mathematik 2: Gewöhnliche Differentialgleichungen", 2013 Walter de Gruyter 4th ed.; (2nd volume of the comprehensive series on Numerical Mathematics in German, available as an e-book via u:access)
7) P. Deuflhard und M. Weiser, "Numerische Mathematik 3: Adaptive Lösung partieller Differentialgleichungen", 2011 Walter de Gruyter; (3rd volume of the comprehensive series on Numerical Mathematics in German language, available as E-book via u:access)

Association in the course directory

SCICOM, P14, UF MA PHYS 01a, UF MA PHYS 01b

Last modified: Tu 14.11.2023 00:23