Teaching

Studying numerical mathematics

How to write a thesis?

Some hints on how to write a Bachelor, Master or Diploma thesis, including tips on LaTeX, are collected in the notes Hinweise zum Schreiben einer Bachelor-, Master- oder Diplom-Arbeit (German).

The road to the bachelor's and master's degree in numerical analysis

Handout (German)

Media/software

NumLab

The NumLab project has been developed during different scientific computing courses. NumLab consists of various programs demonstrating numerical methods and algorithms. Click here to download.

Short introduction into MATLAB

Download (German)

Short introduction into SciLab

Download (German)

Manuscripts of the following lectures are available on request:

Waves in Evolution Equations, 153 p., 2017 (English)

Numerical Analysis of Dynamical Systems, 161 p., 2016 (German)

Introduction to ODEs for Computer Scientists, 109 p., 2016 (German)

Numerical Analysis II, 190 p., 2015/16 (German)

Numerical Analysis I, 242 p., 2015 (German)

Ordinary Differential Equations, 190 p., 2014 (German)

Numerics of Evolution Equations, 74 p. (partial), 2014 (German)

Theory of Discrete Approximations, (partial) 58 p., 2012 (German)

Elements of Partial Differential Equations, 160 p., 2010/11 (German)

Bifurcation Problems, 143 p., 2003 (German)

Dynamical Systems, 155 p., 1991/92 (German)

Courses

Lecturer

Summer term 2017

Waves in Evolution EquationsWolf-Jürgen BeynExercises
Mathematical Modelling and Simulation with Comsol MultiphysicsDenny OttenExercises
Numerics of stochastic processesL'ubomír Baňas
Numerical Analysis ILars Diening
Research Seminar NumericsWolf-Jürgen Beyn,
L'ubomír Baňas,
Lars Diening
Master's Seminar Dynamical Systems and PDEsWolf-Jürgen Beyn,
L'ubomír Baňas,
Lars Diening
Proseminar Applied Linear AlgebraWolf-Jürgen Beyn,
Denny Otten
Seminar/Bachlor's Seminar Numerical MathematicsWolf-Jürgen Beyn,
Thorsten Hüls,
L'ubomír Baňas

Winter term 2016/2017

Numerical Analysis of Ordinary Differential EquationsThorsten Hüls
Mathematical Extension for Computer ScienceDenny Otten
Numerical Analysis of Evolution EquationsL'ubomír Baňas
Numerical Simulation of PDEsL'ubomír Baňas,
Christian Vieth
Programming Course with MATLABElena Isaak
Research Seminar NumericsThorsten Hüls,
Denny Otten,
L'ubomír Baňas
Master's Seminar Dynamical Systems and PDEsThorsten Hüls,
Denny Otten,
L'ubomír Baňas
Proseminar: Numerical Analysis L'ubomír Baňas,
Christian Vieth

Summer term 2016

Numerical Analysis of Dynamical SystemsWolf-Jürgen BeynExercises
Numerical Analysis IThorsten Hüls
Wave Solutions of Evolution EquationsDenny Otten
Research Seminar NumericsWolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas
Master's Seminar Dynamical Systems and PDEsWolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas
Seminar/Bachlor's Seminar Numerical MathematicsWolf-Jürgen Beyn,
Simon Dieckmann

Winter term 2015/2016

Numerical Analysis of Ordinary Differential EquationsWolf-Jürgen Beyn
Mathematical Extension for Computer ScienceWolf-Jürgen Beyn
Chaotic DynamicsThorsten HülsExercises
Mathematical Modelling and Simulation with Comsol Multiphysics IIDenny Otten
Numerical Analysis of Partial Differential EquationsL'ubomír Baňas
Programming Course with MATLABChristian Vieth,
Elena Isaak
Research Seminar NumericsWolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas
Master's Seminar Dynamical Systems and PDEsWolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas

Summer term 2015

Numerical Analysis IWolf-Jürgen Beyn
Numerics of stochastic processesWolf-Jürgen Beyn
Applied Mathematics for Media InformaticsThorsten HülsLecture Notes and Exercises
Mathematical Modelling and Simulation with Comsol MultiphysicsDenny Otten
Numerical methods for partial differential equations IIL'ubomír Baňas
Numerical Simulation of PDEsL'ubomír Baňas
Research Seminar NumericsWolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas
Master's Seminar Dynamical Systems and PDEsWolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas
Seminar/Bachlor's Seminar Numerical MathematicsL'ubomír Baňas

Winter term 2014/2015

Wave Solutions of Evolution Equations Wolf-Jürgen Beyn
Non-autonomous DynamicsThorsten Hüls
Mathematical Extension for Computer ScienceDenny Otten
Numerical Analysis of Ordinary Differential EquationsL'ubomír Baňas
Introduction to Numerical Methods for Partial Differential Equations L'ubomír Baňas
Programming Course with MATLABElena Isaak,
Andrea Lunari
Research Seminar NumericsWolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas
Master's Seminar Dynamical Systems and PDEsWolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas
Proseminar: Applied Linear AlgebraWolf-Jürgen Beyn,
Alina Girod

Summer term 2014

Ordinary Differential EquationsWolf-Jürgen Beyn
Numerical Analysis of Evolution EquationsWolf-Jürgen Beyn
Applied Mathematics for Media InformaticsThorsten Hüls
Numerical Analysis IL'ubomír Baňas
Research Seminar NumericsWolf-Jürgen Beyn,
Thorsten Hüls,
L'ubomír Baňas
Seminar Dynamical SystemsWolf-Jürgen Beyn,
Thorsten Hüls,
L'ubomír Baňas
Seminar: The Stochastic Finite Element MethodL'ubomír Baňas
Seminar Numerical MathematicsL'ubomír Baňas

Winter term 2013/2014

Numerical Analysis of Dynamical SystemsWolf-Jürgen Beyn
Chaotic DynamicsThorsten Hüls
Mathematical Methods in Biology IIIThorsten Hüls
Numerical Analysis of Ordinary Differential EquationsL'ubomír Baňas
Programming Course with MATLABSimon Dieckmann,
Elena Isaak
Research Seminar NumericsWolf-Jürgen Beyn,
Thorsten Hüls,
L'ubomír Baňas
Seminar Dynamical SystemsWolf-Jürgen Beyn,
Thorsten Hüls,
L'ubomír Baňas
Proseminar: Applied Linear AlgebraWolf-Jürgen Beyn,
Simon Dieckmann

Summer term 2013

Numerical Analysis IWolf-Jürgen Beyn,
Jens Rottmann-Matthes
Numerics of stochastic processesWolf-Jürgen Beyn
Applied Mathematics for Media InformaticsThorsten Hüls
Research Seminar NumericsWolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes
Seminar Dynamical SystemsWolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes
Seminar Numerical MathematicsWolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes

Winter term 2012/2013

Numerical Analysis IIWolf-Jürgen Beyn
Numerical Analysis of Dynamical SystemsThorsten Hüls
Mathematical Extension for Computer ScienceJens Rottmann-Matthes
Research Seminar NumericsWolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes
Seminar Dynamical SystemsWolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes
Seminar Numerical MathematicsWolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes

Summer term 2012

Numerical Analysis IWolf-Jürgen Beyn
Theory of discrete approximationsWolf-Jürgen Beyn
Numerical Analysis of Hyperbolic Conservation LawsJens Rottmann-Matthes
Applied Mathematics for Media InformaticsThorsten Hüls
Research Seminar NumericsWolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes
Seminar Dynamical SystemsWolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes
Seminar Numerical Mathematics (Bachelorseminar)Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes

Winter term 2011/2012

Numerical Analysis of Dynamical Systems IIThorsten Hüls
Mathematical Extension for Computer ScienceJens Rottmann-Matthes
Hyperbolic Conservation LawsJens Rottmann-Matthes
Practical Course Programming with PythonRaphael Kruse
Practical Course Programming with MatlabDenny Otten
Research Seminar NumericsThorsten Hüls,
Jens Rottmann-Matthes,
Etienne Emmrich
Seminar Dynamical SystemsThorsten Hüls,
Jens Rottmann-Matthes
Seminar Numerical MathematicsRaphael Kruse,
Thorsten Hüls

Summer term 2011

Numerics of stochastic processesWolf-Jürgen Beyn,
Raphael Kruse
Numerical Analysis of Dynamical SystemsThorsten Hüls
Mathematical Extension for Computer ScienceWolf-Jürgen Beyn
Mathematical Practica for Computer ScienceJens Rottmann-Matthes
Research Seminar NumericsWolf-Jürgen Beyn,
Thorsten Hüls,
Etienne Emmrich
Seminar Dynamical SystemsWolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes
Seminar Numerical MathematicsWolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes
Seminar Numerical MathematicsWolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes

Winter term 2010/2011

Elements of Partial Differential EquationsWolf-Jürgen Beyn
Studies of occupational fields for mathematicians (OP)Wolf-Jürgen Beyn
Numerical Analysis IIThorsten Hüls
Numerical Analysis of Geometrical ObjectsJens Rottmann-Matthes
Research Seminar NumericsWolf-Jürgen Beyn,
Thorsten Hüls,
Etienne Emmrich
Seminar Dynamical SystemsWolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes
Seminar Numerical MathematicsWolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes,
Etienne Emmrich

Summer term 2010

Numerical Analysis IThorsten Hüls
Invariance and StabilityWolf-Jürgen Beyn
Mathematical Extension for Computer ScienceWolf-Jürgen Beyn
Practical Course Mathematics for Computer ScienceJens Rottmann-Matthes,
Jens Kemper
Seminar Numerical MathematicsWolf-Jürgen Beyn,
Thorsten Hüls,
Etienne Emmrich

Winter term 2009/2010

Bifurcation problemsWolf-Jürgen Beyn
Numerical Analysis of Geometrical ObjectsThorsten Hüls
Exploratory Practical Studies (OP)Wolf-Jürgen Beyn
Practical Course Programming with MatlabJens Rottmann-Matthes,
Denny Otten
Numerical Analysis IIEtienne Emmrich,
Jens Kemper
Proseminar: Models and simulation in financial mathematicsWolf-Jürgen Beyn,
Thorsten Hüls
Seminar Numerical MathematicsWolf-Jürgen Beyn,
Thorsten Hüls,
Etienne Emmrich

Summer term 2009

Numerical Analysis IThorsten Hüls
Numerical Analysis of Dynamical SystemsWolf-Jürgen Beyn
Mathematical Extension for Computer ScienceWolf-Jürgen Beyn
Practical Course Mathematics for Computer ScienceJens Rottmann-Matthes
Seminar Numerical MathematicsWolf-Jürgen Beyn,
Thorsten Hüls

Winter term 2008/2009

Numerical Analysis IIWolf-Jürgen Beyn
Numerical Analysis of Geometrical ObjectsThorsten Hüls
Exploratory Practical Studies (OP)Wolf-Jürgen Beyn,
further lecturers
Practical Course Programming with MatlabJens Rottmann-Matthes
Seminar Numerical MathematicsWolf-Jürgen Beyn

Summer term 2008

Numerical Analysis IWolf-Jürgen Beyn
Mathematical Extension for Computer ScienceThorsten Hüls
Practical Course Mathematics for Computer ScienceJens Rottmann-Matthes
Seminar Numerical and Applied AnalysisWolf-Jürgen Beyn,
Thorsten Hüls,
Christof Eck

Winter term 2007/2008

Simple Partial Differential EquationsWolf-Jürgen Beyn
Numerical Analysis of Evolution EquationsWolf-Jürgen Beyn
Exploratory Practical Studies (OP)Wolf-Jürgen Beyn,
further lecturers
Numerical Analysis of Geometrical ObjectsThorsten Hüls
Practical Course Programming with MatlabVera Thümmler
Numerical Analysis IIChristof Eck
Seminar Numerical and Applied Analysis: Sparse Linear EquationsWolf-Jürgen Beyn,
Thorsten Hüls,
Christof Eck

Summer term 2007

Numerical Analysis IThorsten Hüls
Practical Course Mathematics for Computer ScienceVera Thümmler
Seminar Dynamical SystemsThorsten Hüls,
Vera Thümmler,
Jens Rottmann-Matthes,
Jens Kemper

Winter term 2006/2007

Numerical Analysis IIWolf-Jürgen Beyn
Numerical Analysis of Geometrical ObjectsThorsten Hüls
Seminar Numerical and Applied Analysis: Continuation MethodsWolf-Jürgen Beyn,
Jens Rottmann-Matthes,
Jens Kemper
Colloquium of the Research Centre 'Mathematisierung'Ellen Baake,
Michael Baake,
Wolf-Jürgen Beyn
Programming Course with MATLABVera Thümmler,
Wolf-Jürgen Beyn

Summer term 2006

Numerical Analysis IWolf-Jürgen Beyn
Mathematical Extension for Computer ScienceThorsten Hüls
Practical Course Mathematics for Computer ScienceVera Thümmler
Seminar Numerical and Applied Analysis: Finite ElementsWolf-Jürgen Beyn,
Thorsten Hüls,
Jens Kemper,
Vera Thümmler
Colloquium of the Research Centre 'Mathematisierung'Ellen Baake,
Michael Baake,
Wolf-Jürgen Beyn
Numerical Research CourseWolf-Jürgen Beyn,
Janosch Rieger,
Thorsten Hüls,
Jens Kemper,
Jens Rottmann-Matthes,
Vera Thümmler

Winter term 2005/2006

Numerical Analysis of Geometrical ObjectsThorsten Hüls,
Wolf-Jürgen Beyn
Evolution equationsWolf-Jürgen Beyn
Colloquium of the Research Centre 'Mathematisierung'Ellen Baake,
Michael Baake,
Wolf-Jürgen Beyn
Programming Course with MATLABVera Thümmler,
Wolf-Jürgen Beyn
Seminar Applied and Numerical Analysis: Numerical solution of stochastic differential equationsWolf-Jürgen Beyn,
Christian Rohde,
Vera Thümmler

Summer term 2005

Ordinary Differential EquationsWolf-Jürgen Beyn,
Thorsten Hüls
Practical Course Mathematics for Computer ScienceVera Thümmler
Seminar of the graduate program 'Pattern Formation Processes'Wolf-Jürgen Beyn
Seminar NumericsWolf-Jürgen Beyn,
Christian Rohde

Winter term 2004/2005

Numerical Analysis of Bifurcation ProblemsWolf-Jürgen Beyn
Numerical Analysis of Geometrical ObjectsThorsten Hüls
Seminar Numerical Analysis: SplinesWolf-Jürgen Beyn,
Vera Thümmler
Seminar of the graduate program 'Pattern Formation Processes'Wolf-Jürgen Beyn

Summer term 2004

Numerical Analysis IWolf-Jürgen Beyn
Numerical Analysis of Dynamical SystemsWolf-Jürgen Beyn
Seminar Numerical Analysis: Differential algebraic equationsWolf-Jürgen Beyn,
Thorsten Hüls

Winter term 2003/2004

Numerical Analysis of Geometrical ObjectsWolf-Jürgen Beyn,
Thorsten Hüls
Numerical Analysis IIWolf-Jürgen Beyn

Summer term 2003

Bifurcation ProblemsWolf-Jürgen Beyn
Seminar Numerical Analysis: WaveletsWolf-Jürgen Beyn

Summer term 2002

Numerical Analysis IWolf-Jürgen Beyn
Numerical Analysis of dynamical systemsWolf-Jürgen Beyn

Winter term 2001/2002

Seminar Numerical Analysis: Continuation MethodsWolf-Jürgen Beyn,
Vera Thümmler

Summer term 2001

Numerical Analysis IIWolf-Jürgen Beyn