# Constance

## Summer semester 2023

## PDE III: Regularity Theory, The Theorem of De Giorgi, Nash and Moser

- ILIAS
- Lecture notes: [pdf] [sources] (compile with XeLaTex or LuaTeX)
- Time: Wednesdays at 15:15, Room D436

## Seminar: Keller-Segel Models: Long-time Behaviour

- ILIAS
- Time: Fridays at 10:00, Room D436

## Past semesters (in German)

## Summer semester 2022

For details, see the page in german

- Geometric analysis seminar (Gage and Hamilton,
*The Heat Equation Shrinking Convex Plane Curves*) - Differential geometry II (exercice classes)
- Functional analysis II (exercise classes)

## Winter semester 2021

For details, see the page in german

- ODEs with geometric applications (exercise classes)
- Theory of PDEs (exercise classes)

# Paris-Dauphine (in French)

## 2013-2014

### Numerical optimization (exercise classes)

Webpage for the practical, managed by Amic Frouvelle.

## 2012-2013

### Linear algebra (exercise classes)

### Numerical optimization (exercise classes)

- Exercise sheet No.1: Finite differences, optimization in 1D.
- Solution: right FD and centered FD
- Exercise sheet No.2: sheet,
- Practical No.2: archive, sheet,
- Practical No.2 bis: archive, sheet: Signal separation
- Exercise sheet No.3: sheet:
*Inpainting* - Practical No.3: sheet, archive
- Solution to the exam from 6th march 2013

## 2011-2012

### Linear algebra (exercise classes)

- Sheet No.2 ex. 20 Projection on the spaces of scalar and diagonal matrices.

### Numerical optimization (exercise classes)

- Solution to the exam from 15th march 2012
- Exercise sheet No.1: Differential calculus: reminder
- Exercise sheet No.2: Portfolio optimization
- Exercise sheet No.3: Denoising

## 2010-2011

### Linear algebra (exercise classes)

- Extra exercise sheet EV products, interpolation, equivalence of norms, induced norm, matrix-norm, orthogonal polynomials, Fredholm alternative, projectors, least-squares.