Boundary and Eigenvalue Problems (Summer Semester 2007)
- Lecturer: Prof. Dr. Michael Plum
- Classes: Lecture (1578), Problem class (1579)
- Weekly hours: 4+4
- Audience: Mathematics and other subjects with strong mathematical interests (from 4. semester)
A boundary value problem consists of an elliptic (or ordinary) differential equation posed on some domain, together with additional conditions required on the boundary of the domain, e.g. prescribed values for the unknown function. Typical origins of boundary value problems are steady-state (i.e. time-independent) situations in physics and engineering.
An eigenvalue problem for a differential equation is a linear and homogeneous boundary value problem depending (typically linearly) on an additional parameter, and one is interested in values of this parameter such that the boundary value problem has nontrivial solutions. Eigenvalue problems arise e.g. after separation of variables in time-dependent problems (thus describing many vibrational situations, including quantum mechanics).
| Schedule | |||
|---|---|---|---|
| Lecture: | Monday 14:00-15:30 | Seminarraum 34 | Begin: 16.4.2007 |
| Thursday 11:30-13:00 | Seminarraum 34 | ||
| Problem class: | Friday 8:00-9:30 | Seminarraum 34 | |
| Lecturers | ||
|---|---|---|
| Lecturer | Prof. Dr. Michael Plum | |
| Office hours: Please get in contact by email. | ||
| Room 3.028 Kollegiengebäude Mathematik (20.30) | ||
| Email: michael.plum@kit.edu | Problem classes, Problem classes | Dr. Vu Hoang |
| Office hours: | ||
| Room Allianz-Gebäude (05.20) | ||
| Email: duy.hoang@kit.edu | ||
Exercise Sheets
Exercise Sheet 1: pdf-Datei ps-Datei
Exercise Sheet 2: pdf-Datei ps-Datei
Exercise Sheet 3: pdf-Datei ps-Datei
Exercise Sheet 4: pdf-Datei ps-Datei
Exercise Sheet 5: pdf-Datei ps-Datei
Exercise Sheet 6: pdf-Datei ps-Datei
Exercise Sheet 7: pdf-Datei ps-Datei
Exercise Sheet 8: pdf-Datei ps-Datei
Exercise Sheet 9: pdf-Datei ps-Datei