Lecture course in summer term 2015:
V4E2 – Numerical Simulation
Requirements: Wissenschaftliches Rechnen I (V3E1/F4E1)
We will introduce tools from nonlinear functional analysis to deal with optimization problems in Banach spaces. Variational methods can be considered to find extremal
functions here. Optimal control problems with partial differential equations are of special interest in numerics and will serve as an example.
Date & time
|Lectures: ||Tue,||10:15–11:45 am,||Wegelerstr. 6, SemR We 6.020 |
| ||Thu,||8:30–10:00 am,||Wegelerstr. 6, SemR We 6.020 |
|First lecture: ||Tue,||7.4.2015|
|Tutorial: ||Wed,||4:15–5:45 pm,||Wegelerstr. 6, SemR We 6.020 |
|First tutorial: ||Wed,||15.4.2015|
Appointments for the final exam (oral) will be made individually by Prof. Dr. Uschmajew.
Excercise sheets will be provided on a weekly basis. Some weeks there will be programming exercises.
Requirements for the exam
Students need to achieve 50% of the points of the theoretical exercises for admittance to the final exam.
Furthermore, the solutions will have to be presented in the tutorial at least twice during the semester from each student.
A successful presentation of the results for the programming exercises is also required.
|||A.D. Ioffe and V.M. Tichomirov, Theorie der Extremalaufgaben, Deutscher
Verlag der Wissenschaften, Berlin, Germany, 1979
A.D. Ioffe and V.M. Tihomirov, Theory of Extremal Points, North-Holland, New York, USA, 1978.
F. Tröltzsch, Optimale Steuerung partieller Differentialgleichungen: Theorie, Verfahren und Anwendungen, Vieweg+Teubner, Wiesbaden,
F. Tröltzsch, Optimal Control of Partial Differential Equations: Theory, Methods and
Applications, vol. 112 of Graduate Studies in Mathematics, American Mathematical Society, Providence, USA,
E. Zeidler, Nonlinear Functional Analysis and its Applications III - Variational Methods and Optimization,
Springer, New York, USA, 1985
You can borrow books from the Library of Mathematics
or the MNL Branch Library