About me

I like to solve mathematical as well as engineering problems, and translate the solutions into computer code. I am currently a PhD candidate in Scientific Computing, specialization in Numerical Analysis, at Uppsala University in Sweden. My research area covers analysis and implementation of numerical methods for solving partial differential equations to high order of accuracy. Since 2017, I have been involved in INVIVE, a project where we use mathematics to forecast the behavior of the thoracic diaphragm when a human patient is exposed to mechanical ventilation in an intensive care unit.

Education

• (2017- ) Ph.D. Scientific Computing with specialization in Numerical Analysis, Uppsala University, Sweden
• (2014-2017) M.Sc. Computational Science and Engineering, Technical University Munich, Germany
• (2011-2014) B.Sc. Electrical Engineering, University of Ljubljana, Slovenia

Teaching

• Lecturer, Scientific Computing III (PDEs: FDM and FEM, Linear systems: iterative methods), Winter 2021. Uppsala Univ.
• Lecturer, Programming in Python, Autumn 2020. Uppsala Univ.
• Lecturer, Scientific Computing bridging course (Linear systems, ODEs), Autumn 2020. Uppsala Univ.
• Teaching assistant, Scientific Computing II (ODEs), Spring 2019. Uppsala Univ.
• Teaching assistant, Scientific Computing II, Winter 2018. Uppsala Univ.
• Teaching assistant, Computer lab, 2012-2014. University of Ljubljana, Dept. Mathematics and Physics.

Publications

• Stability estimates for radial basis function methods applied to time-dependent hyperbolic PDEs. Preprint, 2021.
• Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws. Preprint, 2021.
• An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations. Preprint, 2021.
• A least squares radial basis function finite difference method with improved stability properties. SIAM Journal on Scientific Computing, 2021.
• An unfitted RBF-FD method in a least-squares setting for elliptic PDEs on complex geometries. Journal of Computational Physics, 2021.
• A first meshless approach to simulation of the elastic behaviour of the diaphragm. Springer, Lecture notes in Computational Science and Engineering, 2020.

Conferences

• DWCAA 21, Online, September 2021, talk (best talk prize)
• ICOSAHOM 20/21, Online, July 2021, contributed talk
• SIAM CSE21, Online, March 2021, contributed talk
• DRWA 19, Alba di Canazei, Italy, September 2019, talk
• SIAM CSE19, Spokane, USA, February 2019, minisymposium talk
• WCCM 18, New York, USA, July 2018, minisymposium talk
• ICOSAHOM 18, London, UK, July 2018, minisymposium talk
• Kernel-Based PDE methods, ICERM, Providence, USA, July 2017, poster