• The group offers various lectures focusing on numerical analysis. Details of lectures offered in the current and previous semesters can be found below on the page.

  • If you wish to participate in a seminar or reading course, please contact the respective supervisor by email. Dates will then be arranged in consultation with the participants.

  • If you are interested in a thesis in the field of Numerics and Applied Mathematics, you can contact the Secretary or directly contact the group leader, Prof. Simeon.

In general, if you have any questions or interest, feel free to contact members of the group or drop by the Felix Klein Center for Mathematics directly.

 

Important Links

  • KIS: Dates and locations of events
  • URM: Registration system for exercises (accessible until April 26, 2024, 12:00 PM)
  • OpenOLAT: Course materials as well as further information (access details will be announced in the first lecture)

Teaching Activities winter term 2023/24

The research group offered the following courses in the winter term 2023/24:

  • Introduction to Numerical Methods
  • Numerical Methods for Ordinary Differential Equations
  • Scientific Computing in Solid Mechanics

Inhalte

In dieser Lehrveranstaltung werden die grundlegenden Methoden   und Algorithmen zur numerischen Lösung von Fragestellungen aus der Linearen Algebra und der Analysis behandelt. Zu den zentralen Themen der Veranstaltung gehören:

  • Fehleranalyse: Kondition eines Problems, Stabilität von Algorithmen
  • Numerische Verfahren für lineare Gleichungssysteme
  • Lineare Ausgleichsprobleme
  • Eigenwertprobleme
  • Approximationstheorie: Interpolation durch Polynom- und Spline-Funktionen
  • Numerische Integration: Interpolations- und Gaußquadratur
  • Numerische Verfahren für nichtlineare Gleichungssysteme

Kontaktzeit 

4 SWS Vorlesung
2 SWS Übung
2 SWS Praktikum           

Voraussetzungen

Inhaltlich:

  • "Grundlagen der Mathematik"
  • einfache Programmierkenntnisse

Formal:

  • Keine

Angebotsturnus

Die Lehrveranstaltung wird jedes Wintersemester angeboten.                                        

Links / Kontakt

Dozent: Prof. Dr. Bernd Simeon

Hier geht es zum KIS-Eintrag:
Einführung in Numerische Methoden (Vorlesung)
Einführung in Numerische Methoden (Übung)
Einführung in Numerische Methoden (Praktikum)

Hier geht es zum OLAT-Kurs:
RPTU Einführung in Numerische Methoden WS 2023/24

                                                                                                                        

  

Contents

Most problems in science, technology, and engineering can be modeled by a set of differential equations. In general, these equations are too complex to be solved analytically. This course provides the necessary tools and methods to treat initial value problems numerically.

The following topics will be covered:

  • explicit and implicit one-step methods (Runge-Kutta methods)
  • error estimation and step size control
  • multistep methods (Adams and BDF methods)
  • consistency, stability, and convergence
  • methods for stiff problems

Contact time 

2 SWS Lecture
1 SWS Tutorial     

Prerequisites

Informal:

  • "Fundamentals of Mathematics"
  • "Introduction to Numerical Methods"
  • "Introduction to Ordinary Differential Equations"

Formal:

  • None

Frequency

This course is offered every winter term.                                      

Links / Contact

Lecturer: Prof. Dr. Bernd Simeon

KIS entries:
Numerical Methods for Ordinary Differential Equations (Lecture)
Numerical Methods for Ordinary Differential Equations (Tutorial)

Course in OLAT:
RPTU Numerical Methods for Ordinary Differential Equations WS 2023/24

                                                                                                                        

  

Contents

Mathematical modelling, numerical methods, and software for the following topics:

  • elastic bodies
  • special cases of beams and plane strain/stress state
  • finite element space discretisation
  • specific time integration schemes

Contact time 

2 SWS Lecture 

Prerequisites

Informal:

  • "Fundamentals of Mathematics"
  • "Introduction to Numerical Methods"
  • "Numerics of ODE"
  • "Introduction to PDE"

Formal:

  • None

Frequency

This course is offered irregularly.                                 

Links / Contact

Lecturer: Prof. Dr. Bernd Simeon

KIS entry:

Scientific Computing in Solid Mechanics

Course in OLAT:

RPTU Scientific Computing in Solid Mechanics WS 2023/24