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 or my GitHub 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. Function approximation in numerically rank-Deficient bases, 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]