# Seminar: Numerical Methods for Geometric PDEs

## News

- The talk on Phase Field Mean Curvature Flow is shifted from Jan 5th to Jan 12th.

## Dates

Seminar | Thu, 12-14h | Arnimallee 7, SR E.31 |

## Description

The mathematical description of many physical phenomena naturally leads to nonlinear partial differential equations (PDEs). In this seminar will discuss the numerical treatment of geometrical PDEs and related nonlinear PDEs with applications to, e.g., biology.

## Target Audience

Advanced students in the Master Program Mathematics and of BMS. Various possible topics for a Master thesis will come up during this seminar. Why the seminar accompanies the lecture Numerics IV on nonlinear PDEs it is also possible to only participate at the seminar but not at the lecture.

## Prerequisites

Basic knowledge on partial differential equations and their numerical solution (e.g. Numerics III).

## Organizational Matters

- If required by the participants the seminar will be held in English.
- Each participant prepares a talk. The talk should not exceed 90 minutes, including time for questions from the audience.
- In addition, every participant prepares a handout, preferably using LaTeX. See below for more information on LaTeX.
- Roughly one week before the talk there will be a short meeting with the organizers to discuss the structure of the talk and answer questions. At this point there should already exist a draft of the handout.
- The final grade is based on the talk and the handout.

## Talks

Date |
Title |
Speaker |

27.10. | Basics of Geometric Analysis | |

03.11. | Basics of Geometric Analysis II | |

17.11. | Discretization of Parametric Mean Curvature Flow | |

01.12. | Discretization of Level Set Mean Curvature Flow | Stewart N. |

12.01. | Phase Field Mean Curvature Flow | Steve L. |

19.01. | Capillary Surfaces | Amir P. |

09.02. | Willmore Flow | Marius K. |

Basics of Anisotropy |

## LaTeX

- LaTeX is the standard software for writing mathematical texts. There is virtually no alternative.
- You can use the example file handout.tex as a basis for your handout. See handout.pdf for a compiled version of the example. It is
*not*mandatory to use this file. Feel free to use your own template! - To compile the example under Linux: Open the console, navigate to the directory that contains the file
*handout.tex*and run "*pdflatex handout.tex*". If no errors occured then the file*handout.pdf*is created in the current directory. - For Windows users: You can install one of the two Tex-Distrubitions TeXLive or MiKTeX which will provide
everything needed to copile a LaTeX document. Please refer to their websites for instructions on how to install the program.
Once the software is installed you can use your editor of choice to edit the
*.tex*files or install an editor specifically designed for use with LaTeX. **Important:**Error messages in LaTeX can be rather cryptic! It is recommended that you compile your document often so that it is easier to track down error sources.

## Contact

Prof. Dr. Carsten GrĂ¤ser | graeser@mi.fu-berlin.de | Arnimallee 6, Room 121 consultation-hour: Mon 11:00-12:00 |

Tobias Kies | tobias.kies@fu-berlin.de | Arnimallee 9, Room 009 consultation-hour: on request |