About the Applied Mathematics research group
A short introduction
The research group Applied Mathematics is a young and dynamic research team based at the University of Antwerp, Belgium.
Founded in 2006 by Prof. Dr. K. In't Hout and Prof. Dr. W. Vanroose as 'TWNA' (Applied Mathematics and Numerical Analysis), the Applied Mathematics research group has rapidly expanded into an internationally renowned University of Antwerp research group.
Research
The main scientific interests and research topics of the Applied Mathematics Research Group are summarized below. Please visit the Research teams and topics section for more details on the group's subdivided research topics, or the personal pages in the Members section for a more detailed report on the research performed by individual Applied Mathematics members.
Summary
The research topic of our group is the development, analysis and application of numerical methods. Here our main focus is on time-dependent partial differential equations - PDEs, for short. PDEs are of key importance in mathematics and a broad variety of application areas. The mathematical models in present-day science and engineering almost always have multiple underlying variables, leading to PDEs that are multidimensional. In our research, we are actively involved in four application areas: financial mathematics, physics, chemistry and biology. In general, solutions to PDEs from applications cannot be expressed in closed analytic form. Accordingly, one resorts to numerical schemes for their approximate solution. The development, analysis and application of such schemes takes a central place in numerical mathematics. In our group, we perform research into two general classes of numerical methods: operator splitting schemes and iterative methods.