Uni Wien

Courses and Seminars by Hans G. Feichtinger

Winterterm 2004/2005

803344 VO Numerische Mathematik und Modellierung 2  (Numerical Mathematics and Modelling 2)

Institut für Mathematik , 3 Std. , Hans Georg Feichtinger

Mo 13:00-15:00, Mi 12:00-13:00 D 1.01 (Mathematik) UZA 4

 

   This course is a continuation of the previous semester, but can be taken independently, assuming a certain maturity. The main topics will be related to numerical linear algebra ( ? how can one actually perform eigenvalue analysis ?) and the effective computatation of numerical solutions to differential equations.

 

LITERATUR: 

·        Huckle/Schneider:  Numerik für Informatiker, Springer, 2002

·        Robert Plato:  Numerische Mathematik kompakt („Concise Mathematics“)

·        Quarteroni/Sacco/Saleri: Numerical Mathematics  I, II 

·        Gilbert Strang:  Applied Mathematics   

 

 

803345 PS Proseminar zu Numerische Mathematik und Modellierung 2

Institut für Mathematik , 2 Std., Hans Georg Feichtinger

Do 13:00-15:00 D 1.01 (Mathematik) UZA 4

 

  This „proseminar“  complements the course in a practical way. The emphasize is on the realization of numerical solutions using computer software (preferably the math. software package  MATLAB).  Each participant has to carry out a small project on a topic related to the course, preferably within a small team of 2-3 people.

 

877925 PJ, SE Projektseminar Angewandte Mathematik (Numerische Harmonische Analyse)

Institut für Mathematik , 2 Std., Hans Georg Feichtinger

Do 15:15-16:45 D 1.01 (Mathematik) UZA 4 

 

This seminar can be taken in English language (but also for students who want to give a talk in German) 

It will provide access to a rich collection of MATLAB code related to the research activities of NuHAG, which are related to frame theory, Gabor analysis, irregular sampling, wavelet theory, spline-type spaces and related topics, most of which are relevant for applications in signal and digital image processing.

LITERATURE:  There is no specific literature in this direction available in book form. However, the pariticipants will get access to a number of reports describing some of the packages which will be used. It is part of the task to study and finally improve the material available in this direction.

 

878193 SE Seminar (Angewandte Funktionalanalysis) : SEMINAR APPLIED FUNCTIONAL ANALYSIS

Institut für Mathematik , 2 Std. , Hans Georg Feichtinger ,  time to be fixed at the beginning of the semester.

 

This seminar will be held in English language.  Many applied problems in signal analysis can be much better understood if the appropriate functional analytic terms are available. Suitable Banach spaces of functions (such as the so-called Wiener amalgam spaces) allow the describe in a good way problems of approximation of a “continuous” problem by a finite dimensional problem which can be handled on the computer (the related numerical issues are subject to the project seminar). Among others we will discuss questions of “approximation theory” and their correct mathematical description. A  minimal request fo the participation in this (advanced) seminar is a good understanding of the basic concepts of   functional analysis (Banach and Hilbert spaces, operators, etc.).

 

LITERATUR: