Jan Heiland Personal Homepage

Jan Heiland Jan Heiland

Lecturer

TU Ilmenau

MPI Magdeburg

About Me

Researcher and lecturer in the working group Optimization-based control at the TU Ilmenau.

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Interests

Differential-algebraic Equations
Systems and Control Theory
Data-driven Modelling
Flow Control

Education

PhD Applied Mathematics

TU Berlin

Teaching

Current Classes (Summer Term 2024)

Topic	Location
Lecture: Numerik 2 (des maschinellen Lernens)	🎤 Mo 11-13 im F3001 und Do 9-11 im C112	Moodle, Skript
Exercise: Wissenschaftliches Rechnen	🎤 Mo 15-17 im C115	Moodle
Exercise: Numerische Mathematik	🎤 Mo 13-15 im HU129	Moodle

Selected Projects

Grants, Bachelor/Master/PhD Projects, and others.

Grants

LPV Approximations for Nonlinear Controller Design

Project Description The computer-aided control system design for nonlinear large-dimensional systems is a tremendous task as it has to cope both with model complexities due to nonlinear dynamics and with computational challenges that are caused by the system’s size.

Jul 20, 2023

Grants

MaRDI

The one mathematics directed and driven consortium in the NFDI. Our institute has been a co-applicant and we are co-managing (together with WWU Münster) the part on Scientific Computing (Task Area 2 in MaRDI).

Apr 20, 2023

Grants

Research Training Group: MathCoRe

The research training group MathCoRe at that OVGU provides a both challenging and supporting environment for a small community of graduate students to pursue a PhD in a field that relates to mathematical complexity reduction.

Apr 20, 2023

BA-MA

MRI Fingerprinting with Philips

on *Improving Fingerprinting in MRI scans*

Apr 15, 2021

BA-MA

Open Master Thesis

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

Jan 1, 2020

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Featured Publications

Polytopic Autoencoders with Smooth Clustering for Reduced-order Modelling of Flows

Jan 1, 2024

Low-Complexity Linear Parameter-Varying Approximations of Incompressible Navier-Stokes Equations for Truncated State-Dependent Riccati Feedback

Jan 1, 2023

Recent Publications

Jan Heiland, Yongho Kim, Steffen W. R. Werner (2024). Deep Polytopic Autoencoders for Low-dimensional Linear Parameter-varying Approximations and Nonlinear Feedback Design.

Cite DOI arXiv

Jan Heiland, Yongho Kim (2024). Polytopic Autoencoders with Smooth Clustering for Reduced-order Modelling of Flows.

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Peter Benner, Jan Heiland, Steffen W. R. Werner (2023). A low-rank solution method for Riccati equations with indefinite quadratic terms. Numerical Algorithms.

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P. Benner, P. Goyal, J. Heiland, I. Pontes (2023). A quadratic decoder approach to nonintrusive reduced-order modeling of nonlinear dynamical systems. Proceedings in Applied Mathematics & Mechanics.

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Y. Kim, J. Heiland (2023). Convolutional Autoencoders, Clustering, and POD for Low-dimensional Parametrization of Navier-Stokes Equations.

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Recent & Upcoming Talks