Research Group of Prof. Dr. Sven Beuchler

This is a former research group of the institute. This page is no longer maintained.

Research Projects

The mathematical simulation of many physical processes in different areas of science and engineering leads to partial differential equations with stochastic coefficients. Usually, the discretization of the stochastic PDE results in parameterized deterministic PDEs, where the statistical properties of the random input data determine the dimension of the parameter space. If the dimension is small we aim at applying hierarchical matrix based solvers due to its robustness with respect to the deterministic operator’s coefficients. Furthermore, this structure allows to exploit similarities between the systems. If the parameter space is high-dimensional, data-sparse representations (i.e. tensor approximations) of the unknowns and the given data are required. Here, recent high-dimensional generalizations of the adaptive-cross approximation method can be used.

Duration: January 2013 - December 2016.