About me

I’m a PhD researcher at the NUMA research unit of KU Leuven’s Department of Computer Science. I work on ‘Numerical methods for infinite-dimensional systems’ under the supervision of Wim Michiels.

My expertise lies within applied mathematics and numerical analysis, at the intersection of dynamical systems, functional differential equations, and approximation theory. You can read my full CV here.

Publications

• P. and Wim Michiels, ‘Accelerated H²-norm approximation for time-delay systems with discrete delays’, IFAC-PapersOnLine, 59/11 (2025), 93–8. [eprint, preprint]
• P. and Wim Michiels, ‘The Lanczos tau framework for time-delay systems: Padé approximation and collocation revisited’, SIAM Journal on Numerical Analysis, 62/6 (2024), 2529–48. [eprint, preprint]

Talks and seminars

• ‘Accelerated H²-norm approximation for time-delay systems with discrete delays’, 19^th IFAC Workshop on Time-Delay Systems, Gif-sur-Yvette, France (invited talk, July 2025). [slides]
• ‘Efficient H²-norm optimization of time-delay systems with algebraic constraints’, NUMA Seminar, KU Leuven, Leuven, Belgium (internal seminar, December 2024). [slides]
• ‘The Lanczos tau framework for time-delay systems’, 18^th IFAC Workshop on Time-Delay Systems, Udine, Italy (invited talk, September 2024). [slides]
• ‘The Lanczos tau framework for time-delay systems’, 6^e Journées Approximation, Lille, France (poster session, May 2024). [poster]
• ‘The Lanczos tau framework for time-delay systems’, NUMA Seminar, KU Leuven, Leuven, Belgium (internal seminar, March 2024). [slides]
• ‘Computing the H²-norm of delay differential algebraic systems’, 42^nd Benelux Meeting on Systems and Control, Elspeet, The Netherlands (contributed talk, March 2023). [slides]

Research stays

• Research visit to the University of Leeds, School of Mathematics during August 2025, hosted by Dr Francesca Scarabel to work on the basins of attraction of non-linear delay differential equations. The visit was supported by a grant of the London Mathematical Society.

Teaching and service

• Academic Council and University Council (2024–25);
• Executive Committee of the Group Science, Engineering, and Technology (2024–25);
• Commission on Research Integrity (2024–25);
• Library Council (2024–25);
• TA for Problem Solving and Design (autumn 2022 and autumn 2023);
• TA for Numerical Analysis (autumn 2025);
• Mentor of master thesis students (2023–24 and 2024–25); and
• Education Committee Mathematical Engineering (2022–now).

Domain colouring

Somewhat loosely related to my scientific activities I also ended up getting intrigued by domain colouring, a way to visualize complex functions. This resulted in the development of the Julia packages DomainColoring.jl and ComplexToys.jl. Of note in the method used in these packages is the use of an analytical sweep through the Oklab colour space, resulting in far fewer artefacts and false representations than the usual HSV hue sweep.

Contact

If you want to know more about my research, or for any other professional inquiries, you can always contact me via my work email address, which you can find on the KU Leuven who’s who pages. In the rare case you want to reach me personally, you can do so via email or xmpp on ‘my first name’@eprovst.net. Additionally, you can follow me on Bluesky.