Studying numerical mathematics
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How to write a thesis?
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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).
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The road to the bachelor's and master's degree in numerical analysis
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Handout (German)
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Media/software
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NumLab
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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.
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Short introduction into MATLAB
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Download (German)
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Short introduction into SciLab
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Download (German)
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Manuscripts of the following lectures are available on request:
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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)
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Courses
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Lecturer
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Summer term 2017
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Waves in Evolution Equations | Wolf-Jürgen Beyn | Exercises |
Mathematical Modelling and Simulation with Comsol Multiphysics | Denny Otten | Exercises |
Numerics of stochastic processes | L'ubomír Baňas |
Numerical Analysis I | Lars Diening |
Research Seminar Numerics | Wolf-Jürgen Beyn,
L'ubomír Baňas,
Lars Diening |
Master's Seminar Dynamical Systems and PDEs | Wolf-Jürgen Beyn,
L'ubomír Baňas,
Lars Diening |
Proseminar Applied Linear Algebra | Wolf-Jürgen Beyn,
Denny Otten |
Seminar/Bachlor's Seminar Numerical Mathematics | Wolf-Jürgen Beyn,
Thorsten Hüls,
L'ubomír Baňas |
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Winter term 2016/2017
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Numerical Analysis of Ordinary Differential Equations | Thorsten Hüls |
Mathematical Extension for Computer Science | Denny Otten |
Numerical Analysis of Evolution Equations | L'ubomír Baňas |
Numerical Simulation of PDEs | L'ubomír Baňas,
Christian Vieth |
Programming Course with MATLAB | Elena Isaak |
Research Seminar Numerics | Thorsten Hüls,
Denny Otten,
L'ubomír Baňas |
Master's Seminar Dynamical Systems and PDEs | Thorsten Hüls,
Denny Otten,
L'ubomír Baňas |
Proseminar: Numerical Analysis | L'ubomír Baňas,
Christian Vieth |
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Summer term 2016
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Numerical Analysis of Dynamical Systems | Wolf-Jürgen Beyn | Exercises |
Numerical Analysis I | Thorsten Hüls |
Wave Solutions of Evolution Equations | Denny Otten |
Research Seminar Numerics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas |
Master's Seminar Dynamical Systems and PDEs | Wolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas |
Seminar/Bachlor's Seminar Numerical Mathematics | Wolf-Jürgen Beyn,
Simon Dieckmann |
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Winter term 2015/2016
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Numerical Analysis of Ordinary Differential Equations | Wolf-Jürgen Beyn |
Mathematical Extension for Computer Science | Wolf-Jürgen Beyn |
Chaotic Dynamics | Thorsten Hüls | Exercises |
Mathematical Modelling and Simulation with Comsol Multiphysics II | Denny Otten |
Numerical Analysis of Partial Differential Equations | L'ubomír Baňas |
Programming Course with MATLAB | Christian Vieth,
Elena Isaak |
Research Seminar Numerics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas |
Master's Seminar Dynamical Systems and PDEs | Wolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas |
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Summer term 2015
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Numerical Analysis I | Wolf-Jürgen Beyn |
Numerics of stochastic processes | Wolf-Jürgen Beyn |
Applied Mathematics for Media Informatics | Thorsten Hüls | Lecture Notes and Exercises |
Mathematical Modelling and Simulation with Comsol Multiphysics | Denny Otten |
Numerical methods for partial differential equations II | L'ubomír Baňas |
Numerical Simulation of PDEs | L'ubomír Baňas |
Research Seminar Numerics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas |
Master's Seminar Dynamical Systems and PDEs | Wolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas |
Seminar/Bachlor's Seminar Numerical Mathematics | L'ubomír Baňas |
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Winter term 2014/2015
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Wave Solutions of Evolution Equations | Wolf-Jürgen Beyn |
Non-autonomous Dynamics | Thorsten Hüls |
Mathematical Extension for Computer Science | Denny Otten |
Numerical Analysis of Ordinary Differential Equations | L'ubomír Baňas |
Introduction to Numerical Methods for Partial Differential Equations | L'ubomír Baňas |
Programming Course with MATLAB | Elena Isaak, Andrea Lunari |
Research Seminar Numerics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas |
Master's Seminar Dynamical Systems and PDEs | Wolf-Jürgen Beyn,
Thorsten Hüls,
Denny Otten,
L'ubomír Baňas |
Proseminar: Applied Linear Algebra | Wolf-Jürgen Beyn,
Alina Girod |
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Summer term 2014
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Ordinary Differential Equations | Wolf-Jürgen Beyn |
Numerical Analysis of Evolution Equations | Wolf-Jürgen Beyn |
Applied Mathematics for Media Informatics | Thorsten Hüls |
Numerical Analysis I | L'ubomír Baňas |
Research Seminar Numerics | Wolf-Jürgen Beyn,
Thorsten Hüls,
L'ubomír Baňas |
Seminar Dynamical Systems | Wolf-Jürgen Beyn,
Thorsten Hüls,
L'ubomír Baňas |
Seminar: The Stochastic Finite Element Method | L'ubomír Baňas |
Seminar Numerical Mathematics | L'ubomír Baňas |
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Winter term 2013/2014
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Numerical Analysis of Dynamical Systems | Wolf-Jürgen Beyn |
Chaotic Dynamics | Thorsten Hüls |
Mathematical Methods in Biology III | Thorsten Hüls |
Numerical Analysis of Ordinary Differential Equations | L'ubomír Baňas |
Programming Course with MATLAB | Simon Dieckmann,
Elena Isaak |
Research Seminar Numerics | Wolf-Jürgen Beyn,
Thorsten Hüls,
L'ubomír Baňas |
Seminar Dynamical Systems | Wolf-Jürgen Beyn,
Thorsten Hüls,
L'ubomír Baňas |
Proseminar: Applied Linear Algebra | Wolf-Jürgen Beyn,
Simon Dieckmann |
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Summer term 2013
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Numerical Analysis I | Wolf-Jürgen Beyn,
Jens Rottmann-Matthes |
Numerics of stochastic processes | Wolf-Jürgen Beyn |
Applied Mathematics for Media Informatics | Thorsten Hüls |
Research Seminar Numerics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes |
Seminar Dynamical Systems | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes |
Seminar Numerical Mathematics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes |
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Winter term 2012/2013
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Numerical Analysis II | Wolf-Jürgen Beyn |
Numerical Analysis of Dynamical Systems | Thorsten Hüls |
Mathematical Extension for Computer Science | Jens Rottmann-Matthes |
Research Seminar Numerics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes |
Seminar Dynamical Systems | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes |
Seminar Numerical Mathematics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes |
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Summer term 2012
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Numerical Analysis I | Wolf-Jürgen Beyn |
Theory of discrete approximations | Wolf-Jürgen Beyn |
Numerical Analysis of Hyperbolic Conservation
Laws | Jens Rottmann-Matthes |
Applied Mathematics for Media Informatics | Thorsten Hüls |
Research Seminar Numerics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes |
Seminar Dynamical Systems | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes |
Seminar Numerical Mathematics (Bachelorseminar) | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes |
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Winter term 2011/2012
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Numerical Analysis of Dynamical Systems II | Thorsten Hüls |
Mathematical Extension for Computer Science | Jens Rottmann-Matthes |
Hyperbolic Conservation Laws | Jens Rottmann-Matthes |
Practical Course Programming with Python | Raphael Kruse |
Practical Course Programming with Matlab | Denny Otten |
Research Seminar Numerics | Thorsten Hüls,
Jens Rottmann-Matthes,
Etienne Emmrich |
Seminar Dynamical Systems | Thorsten Hüls,
Jens Rottmann-Matthes |
Seminar Numerical Mathematics | Raphael Kruse,
Thorsten Hüls |
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Summer term 2011
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Numerics of stochastic processes | Wolf-Jürgen Beyn,
Raphael Kruse |
Numerical Analysis of Dynamical Systems | Thorsten Hüls |
Mathematical Extension for Computer Science | Wolf-Jürgen Beyn |
Mathematical Practica for Computer Science | Jens Rottmann-Matthes |
Research Seminar Numerics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Etienne Emmrich |
Seminar Dynamical Systems | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes |
Seminar Numerical Mathematics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes |
Seminar Numerical Mathematics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes |
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Winter term 2010/2011
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Elements of Partial Differential Equations | Wolf-Jürgen Beyn |
Studies of occupational fields for
mathematicians (OP) | Wolf-Jürgen Beyn |
Numerical Analysis II | Thorsten Hüls |
Numerical Analysis of Geometrical Objects | Jens Rottmann-Matthes |
Research Seminar Numerics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Etienne Emmrich |
Seminar Dynamical Systems | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes |
Seminar Numerical Mathematics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Rottmann-Matthes,
Etienne Emmrich |
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Summer term 2010
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Numerical Analysis I | Thorsten Hüls |
Invariance and Stability | Wolf-Jürgen Beyn |
Mathematical Extension for Computer Science | Wolf-Jürgen Beyn |
Practical Course Mathematics for Computer Science | Jens Rottmann-Matthes,
Jens Kemper |
Seminar Numerical Mathematics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Etienne Emmrich |
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Winter term 2009/2010
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Bifurcation problems | Wolf-Jürgen Beyn |
Numerical Analysis of Geometrical Objects | Thorsten Hüls |
Exploratory Practical Studies (OP) | Wolf-Jürgen Beyn |
Practical Course Programming with Matlab | Jens Rottmann-Matthes,
Denny Otten |
Numerical Analysis II | Etienne Emmrich,
Jens Kemper |
Proseminar: Models and simulation in financial mathematics | Wolf-Jürgen Beyn,
Thorsten Hüls |
Seminar Numerical Mathematics | Wolf-Jürgen Beyn,
Thorsten Hüls,
Etienne Emmrich |
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Summer term 2009
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Numerical Analysis I | Thorsten Hüls |
Numerical Analysis of Dynamical Systems | Wolf-Jürgen Beyn |
Mathematical Extension for Computer Science | Wolf-Jürgen Beyn |
Practical Course Mathematics for Computer Science | Jens Rottmann-Matthes |
Seminar Numerical Mathematics | Wolf-Jürgen Beyn,
Thorsten Hüls |
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Winter term 2008/2009
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Numerical Analysis II | Wolf-Jürgen Beyn |
Numerical Analysis of Geometrical Objects | Thorsten Hüls |
Exploratory Practical Studies (OP) | Wolf-Jürgen Beyn, further lecturers |
Practical Course Programming with Matlab | Jens Rottmann-Matthes |
Seminar Numerical Mathematics | Wolf-Jürgen Beyn |
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Summer term 2008
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Numerical Analysis I | Wolf-Jürgen Beyn |
Mathematical Extension for Computer Science | Thorsten Hüls |
Practical Course Mathematics for Computer Science | Jens Rottmann-Matthes |
Seminar Numerical and Applied Analysis | Wolf-Jürgen Beyn,
Thorsten Hüls, Christof Eck |
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Winter term 2007/2008
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Simple Partial Differential Equations | Wolf-Jürgen Beyn |
Numerical Analysis of Evolution Equations | Wolf-Jürgen Beyn |
Exploratory Practical Studies (OP) | Wolf-Jürgen Beyn, further lecturers |
Numerical Analysis of Geometrical Objects | Thorsten Hüls |
Practical Course Programming with Matlab | Vera Thümmler |
Numerical Analysis II | Christof Eck |
Seminar Numerical and Applied Analysis:
Sparse Linear Equations | Wolf-Jürgen Beyn,
Thorsten Hüls, Christof Eck |
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Summer term 2007
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Numerical Analysis I | Thorsten Hüls |
Practical Course Mathematics for Computer Science | Vera Thümmler |
Seminar Dynamical Systems | Thorsten Hüls,
Vera Thümmler,
Jens Rottmann-Matthes,
Jens Kemper |
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Winter term 2006/2007
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Numerical Analysis II | Wolf-Jürgen Beyn |
Numerical Analysis of Geometrical Objects | Thorsten Hüls |
Seminar Numerical and Applied Analysis: Continuation Methods | Wolf-Jürgen Beyn,
Jens Rottmann-Matthes,
Jens Kemper |
Colloquium of the Research Centre 'Mathematisierung' | Ellen Baake, Michael Baake,
Wolf-Jürgen Beyn |
Programming Course with MATLAB | Vera Thümmler,
Wolf-Jürgen Beyn |
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Summer term 2006
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Numerical Analysis I | Wolf-Jürgen Beyn |
Mathematical Extension for Computer Science | Thorsten Hüls |
Practical Course Mathematics for Computer Science | Vera Thümmler |
Seminar Numerical and Applied Analysis: Finite Elements | Wolf-Jürgen Beyn,
Thorsten Hüls,
Jens Kemper,
Vera Thümmler |
Colloquium of the Research Centre 'Mathematisierung' | Ellen Baake, Michael Baake,
Wolf-Jürgen Beyn |
Numerical Research Course | Wolf-Jürgen Beyn,
Janosch Rieger,
Thorsten Hüls,
Jens Kemper,
Jens Rottmann-Matthes,
Vera Thümmler |
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Winter term 2005/2006
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Numerical Analysis of Geometrical Objects | Thorsten Hüls,
Wolf-Jürgen Beyn |
Evolution equations | Wolf-Jürgen Beyn |
Colloquium of the Research Centre 'Mathematisierung' | Ellen Baake, Michael Baake,
Wolf-Jürgen Beyn |
Programming Course with MATLAB | Vera Thümmler,
Wolf-Jürgen Beyn |
Seminar Applied and Numerical Analysis: Numerical solution of stochastic differential equations | Wolf-Jürgen Beyn, Christian Rohde,
Vera Thümmler |
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Summer term 2005
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Ordinary Differential Equations | Wolf-Jürgen Beyn,
Thorsten Hüls |
Practical Course Mathematics for Computer Science | Vera Thümmler |
Seminar of the graduate program 'Pattern Formation Processes' | Wolf-Jürgen Beyn |
Seminar Numerics | Wolf-Jürgen Beyn, Christian Rohde |
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Winter term 2004/2005
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Numerical Analysis of Bifurcation Problems | Wolf-Jürgen Beyn |
Numerical Analysis of Geometrical Objects | Thorsten Hüls |
Seminar Numerical Analysis: Splines | Wolf-Jürgen Beyn,
Vera Thümmler |
Seminar of the graduate program 'Pattern Formation Processes' | Wolf-Jürgen Beyn |
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Summer term 2004
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Numerical Analysis I | Wolf-Jürgen Beyn |
Numerical Analysis of Dynamical Systems | Wolf-Jürgen Beyn |
Seminar Numerical Analysis: Differential algebraic equations | Wolf-Jürgen Beyn,
Thorsten Hüls |
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Winter term 2003/2004
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Numerical Analysis of Geometrical Objects | Wolf-Jürgen Beyn,
Thorsten Hüls |
Numerical Analysis II | Wolf-Jürgen Beyn |
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Summer term 2003
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Bifurcation Problems | Wolf-Jürgen Beyn |
Seminar Numerical Analysis: Wavelets | Wolf-Jürgen Beyn |
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Summer term 2002
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Numerical Analysis I | Wolf-Jürgen Beyn |
Numerical Analysis of dynamical systems | Wolf-Jürgen Beyn |
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Winter term 2001/2002
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Seminar Numerical Analysis: Continuation Methods | Wolf-Jürgen Beyn,
Vera Thümmler |
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Summer term 2001
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Numerical Analysis II | Wolf-Jürgen Beyn |