Summer School on

Hierarchical Energy Based Modeling

Technische Universität Berlin, August 27-31, 2018, Germany

Important Information

Location: The summer school will take place at the Technische Universität Berlin.
Dates: August 27-31, 2018.
Registration Deadline: July 15, 2018. The registration is free of charge.

Aims and Scope

The intention of the summer school is to provide an introduction to an energy based modeling approach that allows to deal with coupled systems from different physical domains that act on widely different scales. Each physical system is modeled via a model hierarchy (ranging from detailed models for simulation to reduced models for control and optimization) of port-Hamiltonian systems. The systems are coupled via a network of uni-physics nodes coupled via power conserving interconnections so that the full system stays port-Hamiltonian. Using this very flexible approach, it is possible to control the accuracy of each component seperately and to the need of the application. Error controlled model reduction and Galerkin projection as in Finite Element Modeling work in an analogous way. As real world test cases models from gas transport optimization, power grid modeling, or acoustic field simulation are discussed.

The lectures of the summer school will be given by Prof. Dr. Volker Mehrmann (Technische Universität Berlin), a distinguished expert in the topic of the summer school that will provide theoretical and practical aspects of hierarchical energy based modeling. The participants will apply their knowledge in complementary exercises.

Volker Mehrmann

Technische Universität Berlin

Prof. Dr. Volker Mehrmann is a full professor at the institute for Mathematics of the Technical University Berlin in Germany. His research activies include but are not limited to differential-algebraic equations, model reduction, numerical linear algebra, adaptive finite element methods, optimal control, error analysis and stability analysis. He is (co-)author of several books and has (co-)authored more than 200 journal publications.

Course structure

  • Module 1: Energy based modeling with port-Hamiltonian systems
  • Module 2: Analytic and algebraic properties of port-Hamiltonian systems
  • Module 3: Port-Hamiltonian differential-algebraic systems
  • Module 4: Model hierarchies and model adaptivity
  • Module 5: Model reduction via Galerkin projection
The course will conclude with oral exams or a written test depending on the number of participants.
Participants will be issued a certificate from the Technical University of Berlin.
Credits: 4 ECTS
Course description (pdf)


Prof. Dr. Volker Mehrmann (TU Berlin)
Dr. Lena Scholz (TU Berlin)
Christoph Zimmer (TU Berlin)


ROMSOC Matheon TU Berlin TU Berlin



The course will consist of 20 lectures (each 45 min) plus 8 exercise sessions (each 45 min) including practical sessions using MATLAB. Groups of up to 3 people perform the exercises.

There will be an excursion on Wednesday afternoon followed by a joint dinner (the participation is optional). The costs for the excursion and the dinner are not included and will be collected during the summer school.
The exams will take place on Friday afternoon. Taking the exam is optional.

The schedule can be found here.

Registration for the Summer School

Registration is open until July 15, 2018. The registration is free of charge.

The registration is closed

Travel and Accommodation

Travel Instructions

The summer school will take place at Technische Universität Berlin, Straße des 17. Juli 136, 10623 Berlin, Germany. The lecture rooms are located in the Math Buidling (MA). Travel information how to get to the TU Berlin can be found here.


Berlin offers a large variety of possible accommodations. The following list provides only a short selection. Prices are approximate and not guaranteed. Please make your own reservation sufficiently early because hotels in the university area fill up really fast.

less than 40 Euro

Name of the hotel Address Distance to TU Berlin
Hotel-Pension Cortina Kantstr. 140, 10623 Berlin 1.3km
Smart Stay Berlin City Wilmersdorfer Straße 148, 10585 Berlin 1.7km
Hostel City Bed Lietzenburger Strasse 56, 10719 Berlin 1.9km
Happy Go Lucky Hotel & Hostel Stuttgarter Platz 17, 10627 Berlin 2.4km

40 Euro - 60 Euro

Name of the hotel Address Distance to TU Berlin
aletto Kudamm Hotel & Hostel Hardenbergstraße 31, 10623 Berlin 1.0km
Arktur City Hotel Otto-Suhr-Allee 74, 10585 Berlin 1.2km
Aparthotel VEGA Uhlandstr. 185/186, 10623 Berlin 1.3km
Abendstern Hotel Stuttgarter Platz 8, 10627 Berlin 2.2km

more than 60 Euro

Name of the hotel Address Distance to TU Berlin
Novotel Berlin am Tiergarten Strasse des 17 Juni 106-108, 10623 Berlin 0.6km
Novum Hotel Gates Knesebeckstr. 8-9, 10623 Berlin 0.7km
Hotel Otto Knesebeckstr. 10, 10623 Berlin 0.7km
Wyndham Berlin Excelsior Hardenbergstrasse 14, 10623 Berlin 0.9km
Hotel Carmer 16 Carmerstr. 16, 10623 Berlin 1.1km
ibis Styles Berlin an der Oper Hotel Bismarckstrasse 100, 10625 Berlin 1.1km
Motel One Berlin-Ku'Damm Kantstraße 10, 10623 Berlin 1.4km
Berlin Plaza Hotel Knesebeckstr. 63, 10719 Berlin 1.6km
Leonardo Hotel Berlin Wilmersdorfer Straße 32, 10585 Berlin 1.6km