Applied and Computational Mathematics (ACM)

Social Sciences

In this research field we want to apply the mathematical modelling approach to real world practical problems of social sciences, like opinion formation in society, predicting cocaine consumption, modelling the effects of a smoke-free legilation, investigation of dynamics and sociocultural characteristics of infant obesity, etc. The goal here is to develop better models adequate to describe reality and make improved predictions and assessments to show how social problems, stakeholders or political decision makers could benefit from a mathematical modelling approach.

Hereby we pay special attention to environmental and socio-economic models, like operational model for integrated (water/energy/clean air) resources management taking into account the changing climatic and socio-economic conditions in the considered system.

Most of the models are nonlinear systems of ordinary differential equations. We design nonstandard finite difference schemes (NSFD) to solve them adequately, e.g. preserving the positivity of the solution.

People in Group

  • Michael Günther
  • Matthias Ehrhardt



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