Research

My research focuses on the study of partial differential equations via variational methods. I am interested in the connection between evolutionary equations on discrete state spaces and their continuous counterparts. The motivation comes from the analysis of numerical schemes for partial differential equations on unstructured meshes, the analysis of data structures, and algorithms on networks.

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

Preprints

• Hraivoronska, A. and Santambrogio, F., 2025. Convergence of the fully discrete JKO scheme. [arXiv:2504.13513]
• Baradat, A., Hraivoronska, A. and Santambrogio, F., 2025. Using Sinkhorn in the JKO scheme adds linear diffusion. [arXiv:2502.12666]

Publications

• Hoeksema, J., Hraivoronska, A. and Tse, O., 2024. Large Population Limit of Interacting Population Dynamics via Generalized Gradient Structures. In Active Particles, Volume 4 (pp. 421-460). Birkhäuser, Cham. [arXiv:2406.05894, published]
• Hraivoronska, A., Schlichting, A. and Tse, O., 2024. Variational convergence of the Scharfetter–Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit. Numerische Mathematik, 156(6), pp.2221-2292. [arXiv:2306.02226, published]
• A. Hraivoronska and O. Tse., 2023. Diffusive limit of random walks on tessellations via generalized gradient flows. SIAM Journal on Mathematical Analysis, 55(4), pp.2948-2995. [arXiv:2202.06024, published]

Other publications

• 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

• 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.
• 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.

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.

Research Talks