Research

Interest

Discrete-to-continuum variational convergence, generalized gradient structures, minimizing movements schemes, optimal transport, calculus of variations, variational analysis of numerical schemes, discrete curvature

Publications and Preprints

  • J. Hoeksema, A. Hraivoronska, and O. Tse. Large population limit of interacting population dynamics via generalized gradient structures. Preprint arXiv:2406.05894, 2024.
    Contributed chapter to the book “Active Particles” (Volume 4)
  • A. Hraivoronska, A. Schlichting, and O. Tse. Variational convergence of the Scharfetter–Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit. Preprint arXiv:2306.02226, 2023.
  • A. Hraivoronska and O. Tse., 2023. Diffusive limit of random walks on tessellations via generalized gradient flows. SIAM Journal on Mathematical Analysis55(4), pp.2948-2995. arXiv:2202.06024

  • A. Hraivoronska, On convergence of the fully discrete JKO scheme, (joint work with F. Santambrogio), Oberwolfach Report 57 (2023), 3193-3196. DOI: 10.4171/OWR/2023/57
  • A. Hraivoronska, Asymptotic limits of random walks via generalized gradient flows, (joint work with O. Tse), Oberwolfach Report 29 (2020), 1454-1456. DOI: 10.4171/OWR/2020/29

PhD Thesis

Hraivoronska, A. (2023). Discrete-to-continuum limits of evolutionary equations via generalized gradient flows. [Phd Thesis 1 (Research TU/e / Graduation TU/e), Mathematics and Computer Science]. Eindhoven University of Technology.

Other publications

  • X. Cao, K. Cools, N. Dang, Y. Deng, T. Goedendorp, A. Hraivoronska, A. P. Sadr, M. Schlottke, O. Sheridan-Methven, N. van der Wekken, and H. Bansal. Synopsys: Latency Prediction for On-Chip Communication. In Proceedings of the 148th European Study Group Mathematics with Industry, volume 148, pages 83–108. Wageningen University and Research, 2019.
  • P. van Alem, P. Bakker, L. Gomaz, A. Hraivoronska, S. Indenkleef, M. Jukić, R. Lammers, S. Marquis, M. Muskulus, M. Peletier, H. Rottschäfer, M. Smeele, and S. Taylor. Gait Measurement with Acceleration Sensors. In Scientific Proceedings 157th European Study Group with Industry, pages 61–110. Platform Wiskundig Nederland, 2020.

Research Talks

  • September 2024: Gradient Flows face-to-face 4, Raitenhaslach, Germany
    The fully discrete JKO scheme for nonlinear diffusion and crowd motion models
  • July 2024: Workshop “Calculus of Variations NL”, Schiermonnikoog, Netherlands
    The fully discrete JKO scheme on hZ^d
  • June 2024: Minisymposium “Systems with multiple timescales” The Equadiff conference 2024, Karlstad, Sweden
    Variational convergence of an approximation scheme for aggregation-diffusion equations
  • April 2024: Cargèse workshop on Optimal Transport, Corsica, France
    On convergence of the fully discrete JKO scheme
  • March 2024: La deuxième séance des journées “Jeunes analystes et modélisateurs lyonnais”  Variational methods for numerical approximations of Otto gradient flows
  • December 2023: Oberwolfach Workshop “Variational Methods for Evolution”
    On convergence of the fully discrete JKO scheme
  • September 2023: Gradient Flows face-to-face 3, Lyon, France
    The Scharfetter-Gummel scheme for the aggregation-diffusion equation and vanishing diffusion limit
  • July 2023: Workshop Calculus of Variations NL 2023, Schiermonnikoog, Netherlands
    Variational convergence of the Scharfetter-Gummel scheme to the aggregation-diffusion equation
  • May 2023: Seminar in PDE and Applications in TU Delft, Netherlands
    Finite-volume schemes for aggregation-diffusion equations with gradient structure
  • February 2023: SIAM Conference on Computational Science and Engineering, Amsterdam Variational Models for Machine Learning A Variational Approach to Discrete-to-Continuum Convergence of Evolutionary Equations with Gradient Structure
  • February 2023: Seminar of statistics group at University of Twente, Netherlands
    A variational approach to discrete-to-continuum convergence of evolutionary equations
  • November 2022: Workshop “Discrete Systems and Calculus of Variations”, Munich, Germany
    A variational approach to discrete-to-continuum convergence of evolutionary equations
  • September 2022: Workshop “Nonlinear evolutionary equations and applications”, Chemnitz, German Discrete-to-continuum limits of random walks
  • July 2022: Workshop “Calculus of Variations NL”, Schiermonnikoog, Netherlands
    Diffusive limit of random walks on tessellations via generalized gradient flows
  • November 2021: CASA day, Eindhoven, Netherlands
    Generalized gradient flows in action
  • July 2021: Leiden Dynamical Systems & Analysis group Seminar, Netherlands
    On limits of generalized gradient flows
  • February 2021: Winter School on Analysis and Applied Mathematics, Münster, Germany (poster presentation)
  • September 2020: Oberwolfach Workshop “Variational Methods for Evolution”
    Asymptotic limits of random walks via generalized gradient flows
  • December 2019: Tri-city meeting Eindhoven-Dortmund-Aachen, Aachen, Germany
    Towards structure-preserving schemes for Wasserstein gradient flows
  • September 2019: Hausdorff School on “Modeling and Analysis of Evolutionary Problems in Materials Science”, Bonn, Germany Towards structure-preserving schemes for Wasserstein gradient flows
  • May 2019: NDNS+ PhD Days 2019, Lunteren, Netherlands (poster presentation)