This entry is from Winter semester 2018/19 and might be obsolete. You can find a current equivalent here.

# Numerical Solution Methods for Finite Dimensional Problems (dt. Numerik endlichdimensionaler Probleme)

 Level, degree of commitment Specialization module, depends on importing study program Forms of teaching and learning,workload Lecture (4 SWS), recitation class (2 SWS), 270 hours (90 h attendance, 180 h private study) Credit points,formal requirements 9 CP Course requirement(s): Written or oral examination Examination type: Successful completion of at least 50 percent of the points from the weekly exercises. Language,Grading German,The grading is done with 0 to 15 points according to the examination regulations for the degree program M.Sc. Mathematics. Subject, Origin Mathematics, M.Sc. Mathematics Duration,frequency One semester, Jedes zweite Wintersemester Person in charge of the module's outline Prof. Dr. Stephan Dahlke

## Contents

Methods for eigenvalue problems of matrices, fast iteration methods for large systems of equations. Selected additions, such as curve tracking for nonlinear equation systems or fast decomposition methods (FFT, wavelet transformation)

## Qualification Goals

The students shall

• be empowered to classify practical problems in relation to applicable methods and the effort involved,
• deal with different methods, their different applications and the differences in efficiency and universality of the methods,
• see how to build up and analyze solution methods from different basic methods for complex tasks,
• learn about the development of efficient methods by combining building blocks of different characteristics in the core topic of iterative methods for large systems of equations,
• practice mathematical working methods (development of mathematical intuition and its formal justification, training of the abstraction capability, proof techniques),
• improve their oral communication skills in the exercises by practicing free speech in front of an audience and during discussion.

## Prerequisites

Translation is missing. Here is the German original:

Keine. Empfohlen werden die Kompetenzen, die in den Basismodulen und im Aufbaumodul Numerische Basisverfahren vermittelt werden.

• Stoer, J., Bulirsch, R.: Numerische Mathematik II, Springer, 2000;
• Golub, G., van Loan, C.: Matrix Computations, The Johns Hopkins University Press, 1990;
• Hanke-Bourgeois, M.: Grundlagen der Numerischen Mathematik und des Wissenschaftlichen Rechnens, Teubner, 2002.