Research

Here you find information about my research.

2025-07-10

1. Research Projects
   1. Modeling, Optimization and Control of Networked Vehicles and Vehicle Fleets with Heterogeneous Drive Technologies in Real Time
   2. Stability of Inexact NMPC for a Class of Semilinear Parabolic Partial Differential Equations
   3. Cellular Automata in the Modeling of Infections
2. Publications
   1. PhD Thesis
   2. Articles
   3. Conference Proceedings
3. Talks
   1. PhD Defense
   2. MORFAE Workshop
4. Theses
   1. Master Thesis
   2. Bachelor Thesis

Research Projects

Modeling, Optimization and Control of Networked Vehicles and Vehicle Fleets with Heterogeneous Drive Technologies in Real Time

Currently I am working within the collaborative project on Modeling, optimization and control of networked vehicles and vehicle fleets with heterogeneous drive technologies in real time (MORFAE) which is part of the BMBF program “Mathematics for Innovations”. Within this project I am working primarily on Multi-Level Iteration Schemes for Nonlinear Model Predictive Control. My collaboration partners are

• Prof. Dr. Ekaterina A. Kostina, Prof. Dr. Dr. h. c. mult. Hans Georg Bock, Dr. Andreas Sommer, Julian Niederer (Heidelberg University)
• Prof. Dr. Andreas Potschka, Dr. Christoph Hansknecht (Technical University Clausthal)
• Robert Bosch GmbH

Stability of Inexact NMPC for a Class of Semilinear Parabolic Partial Differential Equations

Previously, I have worked with

• Prof. Dr. Ekaterina A. Kostina (Heidelberg University)
• Prof. Dr. Andreas Potschka (Technical University Clausthal)
• Prof. Dr. Karl Worthmann (Technical University Ilmenau)
• Jun. Prof. Dr. Manuel Schaller (Technical University Chemnitz)

on the stability of inexact NMPC for a class of semilinear parabolic partial differential equations.

Cellular Automata in the Modeling of Infections

At the end of my Bachelor’s studies I worked together with Dr. Cordula Reisch on Cellular Automata in the Modeling of Infections. This work resulted in my Bachelor thesis and a conference contribution.

Publications

PhD Thesis

• I. Schrot, Efficient Numerical Methods for Nonlinear Model Predictive Control with Applications in Adaptive Cruise Control, Heidelberg University, 2025.

Articles

• I. Schrot. Konzeption eines projektbasierten Übungsbetriebs für ein Modul im Masterstudiengang Mathematik mit Forschendem Lernen als Leitmotiv. HINT. Heidelberg Inspirations for Innovative Teaching 4.1 (2023): 121-148.

Conference Proceedings

• C. Reisch, I. Schrot: Hierarchies of Modeling Infections: Comparison of Reaction-Diffusion System and Cellular Automaton, ARGESIM Report 55, 49-50, Proc. MathMod2018, Wien, 2018.

Talks

PhD Defense

On July 3rd, 2025, I have defended my PhD thesis. The slides are available online.

MORFAE Workshop

At a workshop for the MORFAE project I have given a talk about Real-Time Iterations and Multi-Level Iterations. The slides are available online.

Theses

Master Thesis

• I. Schrot, Comparative Analysis of the Restrictive Monotonicity Test and the Backward Step Control for Newton’s Method, Heidelberg University, 2019.

Bachelor Thesis

• I. Schrot, Partielle Differentialgleichungen und zelluläre Automaten in der Modellierung von Entzündungsprozessen, Technical University Braunschweig, 2017.