This course consists of two 2-hour lectures and one 2-hour exercise per week (4+2 SWS, 9 LP).

• The lecture on 17th of July will take place in HeHo 22, Room 222

Topics:

• Parametric PDEs
• Reduced Basis Approximation
• Proper Orthogonal Decomposition (POD)
• A-posteriori Error Analysis
• Greedy Algorithms
• Empirical Interpolation Method (EIM)
• Time-Dependent Problems
• Space-Time Discretizations
• Non-Linear Problems

To be admitted to the exam you have to actively participate at the exercises and acquire a minimum of 50% of all exercise points.

The exam form is oral. Tentative exam dates:

• 30.07.2019, 9-12
• 9.08.2019, 9-12
• 11.10.2019, 9-12

Exercises will take place Fridays, weekly. Exercise sheets will be put online a week before the exercise in moodle. You need to register in moodle for this class, registration password will be provided at the first lecture or write an email to the exercise supervisor.

Exercises will be conducted by a "voting" system. At the beginning of each exercise you have to cross the exercise problems you are ready to present. For each problem a student will be selected at random to present their solution.

If the solution is mostly correct and the student can explain their solution (subject to judgement of the exercise supervisor), the student gets full points for all of the problems they crossed out on the sheet. Otherwise the student forfeits all of their points for that exercise.

You require 50% of all points to be admitted to the exam.

There will be no script for this lecture. Here is a link to old lecture notes from summer 2012, typed by a student.

A. Quarteroni, A. Manzoni and F. Negri: Reduced Basis Methods for Partial Differential Equations, Springer 2016.

Model Reduction and Approximation: Theory and Algorithms, SIAM 2017. Edited by P. Benner, A. Cohen, M. Ohlberger and K. Willcox.

Lecture

Exercises