Research at the Laboratory of Technomathematics focuses on the following areas:
SCIENTIFIC COMPUTING
Scientific computing and modelling of industrial processes is one of the four strategic areas of expertise of LUT. The main methodological research topics in this area are described under the titles below. The application projects in the field are collected under the umbrella of CEID, the collaborative institute of Computational Engineering and Integrated Design.
Inverse problems
The Laboratory is a part of a centre of excellence nominated by the Academy of Finland. Inverse problems are encountered in many fields, such as imaging in medicine, astronomy, geophysics: the goal is to recognise a structure or a model from given measurements. Lappeenranta University of Technology employs statistical inverse techniques, especially Bayesian sampling methods and Kalman filtering.
More information can be found from the web page of the project.
Computational Modeling of Materials
Computational modeling of materials has succesfully been used to study atomic scale phenomena of different materials. Examples of the research topics of our group include the computational modeling of the first steps of the corrosion and catalysis reactions on metal surfaces. We have also gained important results in study of bulk properties of industrially important metals.
More information can be found from the web page of the project.
Time Series Research
Time series are the principal road towards understanding financial markets with
mathematical models, and they play a prominent role also in industrial process control. At LUT, time series research specializes in energy markets, more specifically in the
spot markets for electricity all over the world.
Electricity spot markets are highly volatile and difficult to predict, and simulating and understanding them calls for highly sophisticated mathematical models. Even more importantly, electricity spot markets are an excellent laboratory for modelling all kinds of economic behaviour, since almost all relevant background data is available on an hourly basis over many years.
LUT collaborates with energy companies and spot market operators. One of our principal research goals is to build econometric models that do not assume the Efficient Market Hypothesis.
More information can be found from the web page of the project.
Fuzzy logic and soft computing
Researchers in Lappeenranta have for long been leading the way in theoretical research on fuzzy logic. Fuzzy logic methods have been employed in solving many industrial problems, and soft computing has established its position in this field.
More information can be found from the web page of the project.