Comparison of numerical integrators for nonlinear dispersive equations (Winter Semester 2018/19)
- Lecturer: JProf. Dr. Katharina Schratz
- Classes: Lecture (0106300), Problem class (0106310)
- Weekly hours: 2+2
The first exercise class will take place in the second week. (The week from 22nd to 26th of October.)
| Schedule | ||
|---|---|---|
| Lecture: | Wednesday 15:45-17:15 | SR 3.61 |
| Problem class: | Monday 8:00-9:30 | SR 3.61 |
| Lecturers | ||
|---|---|---|
| Lecturer | JProf. Dr. Katharina Schratz | |
| Office hours: By Appointment | ||
| Room Kollegiengebäude Mathematik (20.30) | ||
| Email: | Problem classes | Dr. Patrick Krämer |
| Office hours: by appointment | ||
| Room 3.025 Kollegiengebäude Mathematik (20.30) | ||
| Email: patrick.kraemer3@kit.edu | ||
Comparison of numerical integrators for nonlinear dispersive equations
In this lecture we will compare various numerical methods (e.g., Splitting methods, exponential integrators, Fourier integrators) for nonlinear dispersive equations. We will in particular study their error behavior with respect to the regularity of the solution, the conservation of geometric structures and long time behavior. Our model problems thereby include fundamental models such as the nonlinear Schrödinger and Korteweg-de Vries equation.
Prerequisites: lecture on theoretical and numerical analysis of partial differential equations
Exercises
The first exercise class will take place in the week from 22nd to 26th of October.
Please register here for the participation in the problem class. Additional material to the lecture/problem class will be provided there.
Exercise Sheet 1 Program Files for Prog. Ex. 1 uploaded to the internal area
Exercise Sheet 2 Program Files for Prog. Ex. 2 & 3 uploaded to the internal area
Exercise Sheet 3 Program Files for Prog. Ex. 4 uploaded to the internal area
Exercise Sheet 4