Astrid Herremans

profile

Hi! I am a fourth-year PhD student at the Department of Computer Science at KU Leuven, advised by Daan Huybrechs. I am a doctoral fellow of FWO-Flanders. Last semester, I was a visiting research student at Simon Fraser University, hosted by Ben Adcock.

I do research in numerical analysis at the intersection of numerical linear algebra and approximation theory. In my PhD work, I focus on sampling theory, efficient (least squares) solvers and applications associated with non-orthogonal expansions. To tackle these problems, I use tools from harmonic analysis, functional analysis and random matrix theory. My favorite basis functions are rational!

My CV can be found here. You may also want to take a look at my Google Scholar profile. You can email me at astrid(dot)herremans(at)kuleuven(dot)be.

Publications and preprints

  1. Refinement-based Christoffel sampling for least squares approximation in non-orthogonal bases, with B. Adcock. Preprint (2025).
  2. Sampling theory for function approximation with numerical redundancy, with D. Huybrechs. Preprint (2025).
  3. Efficient function approximation in enriched approximation spaces, with D. Huybrechs. IMA J. Numer. Anal. 45.2 (2025), 673-695.
  4. Multivariate rational approximation of functions with curves of singularities, with N. Boullé and D. Huybrechs. SIAM J. Sci. Comput. 46 (2024), A3401-A3426.
  5. Resolution of singularities by rational functions, with D. Huybrechs and L.N. Trefethen. SIAM J. Numer. Anal. 61.1 (2023), 2580-2600

Selection of talks

Sampling for function approximation in non-orthogonal bases
November 2025 • Applied Mathematics Seminar at the University of Pavia • Invited by Umberto Zerbinati and Andrea Moiola • Topics: [1], [2], [5]
Rational approximation using partial fractions with preassigned poles
April 2025 • Challenges, Opportunities, and New Horizons in Rational Approximation at BIRS • Invited by Heather Wilber, Anil Damle and Serkan Gugercin • Topics: [2], [4], [5]
Function approximation with numerical redundancy
March 2025 • MOCAD PIMS seminar at Simon Fraser University • Invited by Ben Adcock • Topics: [2]
Efficient approximation in enriched bases
September 2023 • Workshop and Summer School on Applied Analysis at TU Chemnitz • Topics: [3], [5]