We have a long experience in the mathematical
modelling and numerical simulation of technical systems in areas
like chemical and metallurgical engineering, in optimization and
control of heating or cooling processes or in the simulation of
Typically, the mathematical formulation leads to
systems of nonlinear partial or ordinary differential equations or to differential
algebraic equations, which all need advanced numerical techniques for their successful treatment.
Surprisingly, the modelling of quite different real-world phenomena may lead to similar
mathematical models and therefore to similar analysis and numerical solution techniques. A
prominent example is the melting of ice (or solification of steel) and the numerical valuation
of put options with American exercise. See the Projects page for more sample projects.