About me

I’m a final year PhD researcher at the NUMA research unit of KU Leuven’s Department of Computer Science. I work on ‘The Lanczos Tau Method for Time-Delay Systems’ under the supervision of Wim Michiels.

My research focuses on developing numerical methods for infinite-dimensional dynamical systems, particularly those governed by delay and functional differential equations. I work at the intersection of approximation theory, numerical analysis, and dynamical systems, with an increasing interest in computational methods for nonlinear dynamics, including the numerical discovery of attractors and the corresponding basins of attraction of infinite-dimensional systems. You can read my full CV here.

Publications and preprints

• P. and Wim Michiels, ‘Computing and optimizing the H²-norm of delay differential algebraic systems’. [preprint]
• P. and Wim Michiels, ‘Accelerated H²-norm approximation for time-delay systems with discrete delays’, IFAC-PapersOnLine, 59/11 (2025), 93–8. [eprint (open access)]
• 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

• Contributed talk, 15^th AIMS Conference, Athens, Greece (July 2026). [slides]
• Invited talk, BeNeLux Mathematical Congress 2026, Antwerp, Belgium (April 2026). [slides]
• Internal seminar, NUMA research unit, KU Leuven, Leuven, Belgium (November 2025). [slides]
• Invited talk, 19^th IFAC Workshop on Time-Delay Systems, Gif-sur-Yvette, France (July 2025). [slides]
• Internal seminar, NUMA research unit, KU Leuven, Leuven, Belgium (December 2024). [slides]
• Invited talk, 18^th IFAC Workshop on Time-Delay Systems, Udine, Italy (September 2024). [slides]
• Poster, 6^e Journées Approximation, Lille, France (May 2024). [poster]
• Internal seminar, NUMA research unit, KU Leuven, Leuven, Belgium (March 2024). [slides]
• Contributed talk, 42^nd Benelux Meeting on Systems and Control, Elspeet, The Netherlands (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.