I am an applied mathematician primarily interested in real-life problems whose treatment requires analysis of a model / justification of the approximation or those that can be effectively tackled with analytical tools such as asymptotic methods or closed-form solution reducibility.
I enjoy learning new things while working on diverse subjects analysing a problem, devising a constructive solution approach and verifying / implementing it numerically. Current and past topics of my research include:
At the present time, I am a postdoctoral researcher (project assistant) at Institute of Analysis and Scientific Computing , TU Wien , Austria. Together with Anton Arnold , we are working on development and investigation of hybrid asymptotic-numerical methods aimed at efficient treatment of high-frequency problems for wave equations , in particular, using long-time behaviour analysis for time-domain problems with variable coefficients .