Research Group: Applied Analysis
The research of the Applied Analysis group is a bit like the question which came first, the chicken or the egg: The phenomenon one wants to understand and quantify or the mathematical tools to succeed? The tricky point being that formulating the "right" mathematical model needs the expertise to handle it and the available experimental data.
Our research roots in pushing forward the mathematical theory of complicated and coupled PDE models. At the same time, we build mathematical models of real world processes with a strong focus on the Life-Sciences, but also Art.
Our methodology develops systematic approaches, which use in the best possible way general structures common to many models.
The Applied Analysis group gratefully acknowledges the support of the FWF (SFB F-73 Lipid Hydrolysis, IGDK 1754 Optimization and Numerical Analysis for Partial Differential Equations with Nonsmooth Structures, I 5213 Quasi-steady-state-approximation for PDE, M 3007 Asymptotic derivation of diffusion models for mixtures), the OeAD (FR 03/2020, CZ 18/2020) and the University of Graz (Unconventional Research: Mathematics and Arts).