Main Application Areas

Conversion, storage and distribution of energy
Analysis, modeling, and simulation of different aspects of research on renewable energies as well as for the effective use of conventional energy resources.
Flow and transport
Flow and transport of species are important in many processes in nature and industry. In general, they are modeled by systems consisting of partial differential equations. Active fields of research are questions concerning the analysis, the numerical analysis, and the numerical simulation of partial differential equations from computational fluid dynamics (CFD).
Materials modeling
Many important industrial manufacturing processes (e.g., production and treatment of steel, growth of semiconductor crystals) rely on phase transitions. Hence, there is a special demand for their mathematical modeling and simulation.
Nano- and optoelectronics
Analysis, modeling, and simulation of semiconductor lasers, semiconductor nanostructures, and other optoelectronic components as well as of semiconductor manufacturing technologies.
Optimization and control in technology and economy
Methods of PDE-constrained optimal control and control of differential algebraic equations are employed in a variety of applications.
Quantitative biomedicine
Modeling, analysis, simulation, or optimization of various highly relevant processes in clinical practice (modeling of cellular, biochemical, and biomolecular processes; applications in medical engineering, such as the modeling, simulation, and optimization of prostheses or contributions to the area of imaging diagnostics)