Universität Wien

250053 VU Computational Fourier Analysis (2024S)

7.00 ECTS (4.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work
Moodle

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

max. 25 participants
Language: English

Lecturers

Classes (iCal) - next class is marked with N

The first lectures takes place 05.03.2024.

  • Friday 01.03. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 05.03. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 08.03. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 15.03. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 19.03. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 22.03. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 09.04. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 12.04. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 16.04. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 19.04. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 23.04. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 26.04. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 30.04. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 03.05. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 07.05. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 10.05. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 14.05. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 17.05. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 21.05. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 24.05. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 28.05. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 31.05. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 04.06. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 07.06. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 11.06. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 14.06. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 18.06. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 21.06. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 25.06. 09:45 - 11:15 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 28.06. 11:30 - 13:00 Seminarraum 10 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The fast Fourier transform (FFT) is widely used in the applied sciences for the numerical approximation of Fourier coefficients of periodic functions and of the Fourier transform of functions on the real line. It is a fast algorithm that computes the discrete Fourier transform.

We answer the question "how well does the discrete Fourier transform approximate Fourier coefficients and the Fourier transform". This course provides a theoretical analysis and supporting numerical illustrations.

Assessment and permitted materials

Exercises/projects and written or oral exam

Minimum requirements and assessment criteria

Successful presentation of solutions to exercises/projects and successful written or oral exam.

Examination topics

Understanding of the theory presented in the course and the exercises/projects.

Reading list

- W.L.Briggs and V.E.Henson: The DFT. An owner’s manual for the discrete Fourier transform, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1995.

- L.N.Trefethen and J.A.C.Weideman: The exponentially convergent trapezoidal rule, SIAM Rev., 56 (2014), pp. 385–458.

Association in the course directory

MAMV; MANV;

Last modified: We 31.07.2024 12:06