The major theme in my research is how phenomena on different scales interact and how to create accurate and efficient simulations of these phenomena.
Currently, I am researching a system of multiscale partial differential equations, representing the flow through a porous medium: for instance, the flow of ground water through a sand bed. The challenge is modelling how activity on a small scale (i.e. of the size of sand-grains) shapes and alters the large-scale water flow. A description of the model problem and some results are presented in my licentiate thesis
I also study the modelling and simulating of interacting agents and human crowd motion, especially in evacuation scenarios. For my MSc thesis in the Netherlands, I did a research internship at Lowlands, a large Dutch music festival. We built a simulation framework (Mercurial) as a tool to model the flow of crowds and validate the evacuation protocols of the festival. Here, too, the aim is to develop simulations which are able to capture the interaction between individuals in a crowd and the crowd as a whole.
Every other semester, I teach calculus and linear algebra to second-year engineering and mathematics students.
Next to my PhD research project, I am partly active in the HITS project, a computer science initiative involving Karlstad University and several industrial partners. Under the guidance of dr. Johan Garcia, I apply data science techniques to uncover patterns in internet traffic data.
I was born and raised in Nijmegen, The Netherlands. After high school, I moved to Eindhoven for my bachelor's and master's degree in Applied Mathematics at the University of Technology Eindhoven. In August 2016, I moved to Karlstad to start as a PhD student at Karlstad University in the field of applied mathematics.
M. Lind, A. Muntean, O. Richardson, ""Well-posedness and inverse Robin estimate for a multiscale elliptic/parabolic system", Applicable Analysis (2017): 1-18
D. Hong, A. Muntean, O. Richardson, "Discrete and continuum links to a nonlinear coupled transport problem of interacting populations", European Physics Journal Special Topics (2017): 1-13
O. Richardson, "Large-scale multiscale particle models in inhomogeneous domains", master thesis, TU Eindhoven (2016)