About Me
Hi! I am a PhD student in numerical analysis at the Department of Mathematics at KTH Royal Institute of Technology, Stockholm, where I am supervised by Anna-Karin Tornberg. Previously, I got my MSc in Engineering Physics at the Faculty of Engineering (LTH), Lund University.
Socials
Research Interests
My main research interest is boundary integral methods, and more specifically the development of numerical methods for such methods in order to simulate flows governed by the Stokes equations. This includes both development, analysis and implementation of fast and accurate methods, for example ones to perform numerical quadrature.
Additionally, I am interested in data-driven methods, and how machine learning techniques may be joint with traditional numerical methods in order to create new and improved methods.
- Numerical Analysis
- Integral Equation Methods
- Numerical Analysis ⋂ Machine Learning
- Data-driven Methods
- High Performance Computing
Publications
TBA
Teaching
Below follows my teaching activites this academic year. Here is a list of my current and previous teaching activites.
| Year | Term | Course | Role |
|---|---|---|---|
| 2022/2023 | Fall/Spring | SF1520 Numerical Methods and Basic Programming, Part 1 | Exercise/lab assistant |
| 2022 | Fall | SF1545 Numerical Methods, Basic Course | Exercise/lab assistant |
| 2022 | Fall | SF1521 Numerical Methods and Basic Programming, Part 2 | Exercise/lab assistant |
Supervision
In addition to the listed teaching activites, I have also supervised the following theses:
- BSc thesis: W. Nguyen and S. Li. Solving Differential Equations using Data-Driven Adaptive Numerical Method, 2022.
- BSc thesis (joint supervision with Xin Huang): A. Dernsjö and M. Berg Wahlström. Data-Driven Learning for Approximating Dynamical Systems Using Deep Neural Networks, 2021.
Contact
- Email address: davkra@kth.se, mail@dkrantz.se
- Office: 3735, Lindstedtsvägen 25