Jan Heiland

Jan Heiland

Team leader and Jun.-Prof. in Applied Mathematics

MPI for Dynamics of Complex Technical Systems

OvG University Magdeburg

That’s me

Researcher and team leader in the working group Computational Methods of Systems and Control Theory at the Max Planck Institute for Dynamics of Complex Technical Systems in Magdeburg and a Junior Professor at the Otto-von-Guericke University.


  • Differential-algebraic Equations
  • Systems and Control Theory
  • Flow Control


  • PhD in Mathematics, 2014

    TU Berlin

Curriculum Vitae


Junior Professor

Otto-von-Guericke University

May 2018 – Present Magdeburg
Teaching and academic self-management


MPI for Dynamics of Complex Technical Systems

Nov 2013 – Present Magdeburg
Basic research on control systems and responsibility for the research team Computer Aided Control System Design


TU Berlin

Oct 2009 – Oct 2013 Berlin
PhD Projection on Decoupling, Semi-Discretization, and Optimal Control of Semi-linear Semi-explicit Index-2 Abstract Differential-Algebraic Equations and Application in Optimal Flow Control

Student Employee

Bombardier Transportation

Jun 2007 – Sep 2009 Berlin
Department of aerodynamics: implementation of an automated approach for shape optimization and wind tunnel testings


Current Course (Summer Term 2021)

Topic Location
Lecture: Differential-Algebraic Equations online
Mi 9-11
Fr 13-15
Lecture: Mathematik 2 für Informatik online
Mi 9-11
Fr 13-15

Previous Courses

Topic Occasion
Lecture: Mathematik 2 für Informatik Summer term 2020 at the OVGU
Seminar: Geometric formulations of inviscid fluids and their discretization (with C. Lessig) Winter term 2019 at OVGU LSF
Seminar: Geometric formulations of inviscid fluids and their discretization (with C. Lessig) Summer term 2019 at OVGU LSF
Lecture: Differential-algebraic Equations: an introduction to the theoretical and numerical treatment of DAEs Winter term 2018 at OVGU Script
Short course: Introduction to Tensor Based Computing MathCoRe Compact Course 2018
Lecture: Funktionentheorie (Complex Analysis) Winter term 2017 at OVGU
Lecture: Differential-algebraic Equations Summer term 2016 at OVGU
Short course: Model Reduction for Line Time Invariant Systems Summer 2015 at Shanghai University Slides

Recent Posts

Trends in Covid-19 Spread

How the daily changes in the cases may indicate whether the virus is on the decline.

FEniCS Burgers POD DMD

A short python implementation of POD and DMD for a 2D Burgers equation using FEniCS and Scipy.

Adjoint Systems for Optimal Control from Pontryagin to Wikipedia

While it seems common knowledge how to formulate necessary optimality conditions backed by the famous Pontryagin’s Maximum Principle, the direct derivation from the very general original formulations is not obvious. Sometimes, authors like me1 provide some plausibility like obviously this term has to vanish, refer to other sources that miss the derivation too, or attach the complete book by Pontryagin to a specific formula2.



Open Master Thesis

on DMD models for flow problems based on time series using adaptive grids

Inverse Triple Pendulum

An inverted triple pendulum as a test bench and demonstrator for control routines.

Open Master Thesis

on Modelling of the impact of multiple scattering on measurements using luminescent particles


A Python package that provides an interface between scipy and FEniCS in view of solving Navier-Stokes Equations.


Python module for application of (Hinf-)LQG-balanced truncation for low-order controllers for the stabilization of Navier-Stokes equations

Open Theses Topics

Open projects available in different fields

Multiple Scattering in TPIV

Bachelor thesis on Modelling of the impact of multiple scattering on scalar measurements using luminescent particles



2021 – Meet me at the following occasions:

Date Occasion Location
Mar 15 – Mar 19 GAMM Annual Meeting Kassel
Jul 6 – Jul 9 Viennese Conference on Optimal Control and Dynamic Games Vienna, Austria
Jul 19 – Jul 23 SIAM Annual Meeting and SIAM Conference on Control and Its Applications Spokane, US
Jul 25 – Jul 27 U.S. National Congress on Computational Mechanics Chicago, US

See previous conferences and visits

My most recent talks

Control of a Triple Pendulum in Theory and Practice
The DEAL - What is up and what does it mean
Mathematical modeling of infectious disease

Recent Publications

Browse and filter all publications.

Equivalence of Riccati-based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough

The Riccati-based approach to robust control is completely understood in theory since long but seldom used for large-scale systems in …

Non-intrusive Time Galerkin POD for Optimal Control of a Fixed-Bed Reactor for CO2 Methanation

The optimization of a controlled process in a simulation without access to the model itself is a common scenario and very relevant to …

Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows

Reduced-order modeling has a long tradition in computational fluid dynamics. The ever-increasing significance of data for the synthesis …

PD controllers to solve single-input, index-1 DAE based LQR problems

In this paper, we present a method to compute the optimal trajectories of a linear quadratic regulator (LQR) problem corresponding to a …

Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification

The quantification of multivariate uncertainties in partial differential equations can easily exceed any computing capacity unless …