Teaching in the Winter Term 2022/23

Course

Instructors

Content

Literature

Numerical Methods for Variational Inequalities

Moodle, LSF

Yousept, Ammann

1. Theory of variational inequalities of first and second kind

2. Examples of variational inequalities in Sobolev spaces

3. Convex analysis and Fenchel duality

4. Semismooth Newton method

1. Trémolières,  Lions, GlowinskiLink

2. Kinderlehrer, Stampacchia - Link

 

Practical Implementation of Optimization Methods

Moodle, LSF

Yousept, Ammann

Analysis and Implementation of Certain Optimization Methods

 

Introduction to Numerical Methods

Moodle, LSF

 

Hensel, Matos de Souza

1. Interpolation and Numerical Integration

2. Direct and Indirect Solvers for Linear Systems

3. Iterative Methods for Nonlinear Systems
1. Stoer, Bulirsch - Link

 

Teaching in the Summer Term 2022

Course

Instructors

Content

Literature

Inverse Problems

Moodle, LSF

Yousept, Ammann

1. Introduction to inverse problems

2. Selected topics from functional analysis

3. Linear inverse problems

4. Regularization methods

5. Convergence rates

1. Hofmann - Link

2. Kirsch - Link

Practical Implementation of Numerical Methods

MoodleLSF

Yousept, Ammann

Analysis and Implementation of Certain Numerical Methods

1. Nocedal, Wright - Link

 

Teaching in the Winter Term 2021/22

Course

Instructors

Content

Literature

Introduction to Numerical Methods

MoodleLSF

Hensel, Ammann

1. Interpolation and Numerical Integration

2. Direct and Indirect Solvers for Linear Systems

3. Iterative Methods for Nonlinear Systems

1. Stoer, Bulirsch - Link

Master Seminar on Optimal Control

LSF

Yousept Spectral Theory for Operators and Semigroups Link

Practical Implementation of Optimization Methods

MoodleLSF

Yousept, Ammann

Analysis and Implementation of Certain Optimization Methods

1. Nocedal, Wright - Link

 

Teaching in the Summer Term 2021

Course

Instructors

Content

Literature

Optimal Control of PDEs

Moodle

Yousept, Hensel

1. Introduction to Sobolev Spaces

2. Weak Solutions to Elliptic Equations

3. Linear-Quadratic Elliptic Control Problems

4. Optimal Control of Semilinear Elliptic Equations

1. Tröltzsch - Link

Master Seminar on Numerical Analysis

LSF

Yousept Certain Topics in the Numerical Analysis of PDEs  

Advanced Numerical Methods

Moodle

Hensel, Ammann

1. Numerical Analysis of ODEs

2. Basic Notions of the Variational Framework for PDEs

3. Finite Element Method

1. Evans - Link

2. Ciarlet - Link

 

Teaching in the Winter Term 2020/21

Course

Instructors

Content

Literature

Numerical Analysis of PDEs

Moodle

Yousept, Hensel

1. Introduction to Sobolev Spaces

2. Weak Solutions to Elliptic Equations

3. Finite Element Method for Linear Elliptic PDEs and Error Estimates

1. Adams - Link 

2. Wloka - Link

3. Evans - Link

4. Grisvard - Link

5. Ciarlet - Link

Bachelor Seminar on Numerical Analysis

LSF

Yousept Certain Topics in Numerical Analysis  

Practical Implementation of Numerical Algorithms

LSF

Yousept, Ammann

Analysis and Implementation of Certain Numerical Algorithms from Previous Lectures

 

Introduction to Numerical Methods

Moodle

Winckler, Ammann

1. Interpolation and Numerical Integration

2. Direct and Indirect Solvers for Linear Systems

3. Iterative Methods for Nonlinear Systems

 

1. Stoer, Bulirsch - Link