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Mathematical Modelling in the Engineering Sciences

Within this field of research, top-class scientists engage in the crosslinking between modeling, simulation and engineering. The research topic consists of three overlapping foci:

Mathematics

Mathematics and computer science represent a technology that is essential to engineers and natural scientists. Progress in relevant fields is therefore often dependent from computational mathematical modeling. Due to its focus on mathematical applications in engineering, Kaiserslautern attains a unique position.

For more detailed information, please have a closer look at the portraits of the scientists engaged in karema (“Individual Research Counselors”, IRCs). Please note: Due to the targeted research matching of karema, you should specifically tailor your research idea to the expertise of karema’s scientists.

Click on the name of the scientist for a more detailed portrait (PDF).

 

Prof. Dr. Tobias Damm and Dr. Jan Hauth
Systems Control, Technomathematik / System Analysis, Prognosis and Control

Stochastic Control Theory.

Prof. Dr. Hans Hagen
Computer Graphics & HCI

Modeling, Simulation, and Visualization.

Prof. Dr. Axel Klar
Industrial Mathematics

Interacting particle systems, traffic and pedestrian flow modelling, modeling and numerics of PDE-networks, industrial mathematics.

Prof. Dr. Ralf Korn
Financial Mathematics

Financial mathematics, stochastic control.

Prof. Dr. Klaus Ritter
Computational Stochastics

Mathematical challenges arising in stochastic modelling of engineering applications.

Prof. Dr. Bernd Simeon
Differential-algebraic systems and numerical analysis

Applied and computational mathematics, numerical analysis, computational mechanics.

Prof. Dr. Gabriele Steidl
Mathematical Image Processing

Harmonic Analysis, Convex Analysis, Image Processing.

 

Transfer

This focus researches via modeling and simulation solutions for problems in the following fields: transport processes, fluid dynamic and structure elastic processes, planning and decisions problems (e.g. logistics, engineering sciences, life sciences).

For more detailed information, please have a closer look at the portraits of the scientists engaged in karema (“Individual Research Counselors”, IRCs). Please note: Due to the targeted research matching of karema, you should specifically tailor your research idea to the expertise of karema’s scientists.

Click on the name of the scientist for a more detailed portrait (PDF).

Dr. Walter Arne
Flexible structure

Modeling and simulation of viscous jet and interaction with the surrounding gas.

Prof. Dr. Oleg Iliev
Hydrodynamics

Numerics for multiscale problems and multiphysics problems; Upscaling approaches and algorithms; CFD; UQ; Simulation of industrial flow problems.  

Prof. Dr. Karl-Heinz Küfer
Optimization

Modelling decision support systems, integration of simulation and optimization.

Dr. Jörg Kuhnert
Meshfree Numerical Simulation

Meshfree numerical methods for partial differential equations.

Dr. Konrad Steiner
Flow and Material Simulation

Multiscale methods and simulation techniques for flow and material simulation.

 

Engineering/Application

This research focus examines trendsetting materials classes and technologies, in which highly dynamical scientific and technical developments take currently place. An important feature of the research is the intensive crosslinking between experiment, modelling and simulation to ensure a reliable and efficient operation of facilities and systems.

For more detailed information, please have a closer look at the portraits of the scientists engaged in karema (“Individual Research Counselors”, IRCs). Please note: Due to the targeted research matching of karema, you should specifically tailor your research idea to the expertise of karema’s scientists.

Click on the name of the scientist for a more detailed portrait (PDF).

 

Prof. Dr.-Ing. Jan C. Aurich
Mechanical and Process Engineering

Micromachining, Development of cutting tools, Machining of high performance materials, Additive manufacturing, Cyber-physical production systems, Virtual Production, Product-service systems, Resource-efficient Production.

Prof. Dr.-Ing. Tilmann Beck
Mechanical and Process Engineering

Correlation of fatigue processes in metals with physical properties, i.e. magnetism and electrical conductivity.

Prof. Dr.-Ing. Ulf Paul Breuer
Material Science

CFRP for aircraft airframe applications.

Prof. Dr.-Ing. Hans Hasse
Engineering Thermodynamics

Molecular Thermodynamics, Process Thermodynamics, Biothermodynamics.

Prof. Dr.-Ing. Eberhard Kerscher
Materials Testing

High-strength materials, process-microstructure-property-relationship, fatigue and failure of crystalline and amorphous metals, microstructure of metals.

Prof. Dr.-Ing. habil. Ralf Müller
Applied Mechanics

Correlation of fatigue processes in metals with physical properties, Fracture Mechanics, Computational Mechanics, Micromechanics, Material Modeling, Coupled Problems, Configurationally Mechanics, Ice Dynamics.

Prof. Dr.-Ing. Norbert Wehn
Microelectronic Systems Design

Special research interests are VLSI-architectures for mobile communication forward error correction techniques, low-power techniques, advanced SoC architectures, 3D integration, advanced memory architectures, reliability issues in SoC and customized high performance computing especially for financial mathematics and big data applications.