Research
My research is about using multilevel Monte Carlo methods to speed up simulations of kinetic equations with high collision rates. This is algorithmic work in the broader context of accelerating plasma-edge simulations for modeling tokamak fusion reactors.
You can find my main publications below. For a full list, including open access links (where possible), have a look here.
Journal articles
- Løvbak, E., Samaey, G., Accelerated simulation of Boltzmann-BGK equations near the diffusive limit with asymptotic-preserving multilevel Monte Carlo. SIAM Journal on Scientific Computing 45(4), pp. A1862 - A1889. (2023)
- Løvbak, E., Samaey, G., Vandewalle, S., A multilevel Monte Carlo method for asymptotic-preserving particle schemes. Numerische Mathematik, 148(1), 141-186. (2021)
Conference proceedings
- Løvbak, E., Blondeel, F., Lee, A., Vanroye, L., Van Barel, A., Samaey, G., Reversible random number generation for adjoint Monte Carlo simulation of the heat equation. Monte Carlo and Quasi-Monte Carlo Methods - MCQMC 2022. Springer. In press. arXiv:2302.02778. (2023)
- Løvbak, E., Mortier, B., Samaey, G., Vandewalle, S., Multilevel Monte Carlo with improved correlation for kinetic equations in the diffusive scaling. Lecture Notes in Computational Science - ICCS 2020. Springer, 374-388. (2020)
- Løvbak, E., Samaey, G., Vandewalle, S., A Multilevel Monte Carlo Asymptotic-Preserving Particle Method for Kinetic Equations in the Diffusion Limit. Monte Carlo and Quasi-Monte Carlo Methods - MCQMC 2018. Springer, 383-402. (2020)
Recorded talks
- Løvbak, E., Samaey, G., Vandewalle, S., Stochastic optimization for tokamak fusion reactor divertor design. RWTH Aachen UQ Hybrid Seminar. 23 November 2021.
- Løvbak, E., Mortier, B., Samaey, G., Vandewalle, S., Asymptotic-preserving multilevel Monte Carlo particle methods for diffusively scaled kinetic equations. RWTH Aachen UQ Hybrid Seminar. 27 October 2020.
- Løvbak, E., Mortier, B., Samaey, G., Vandewalle, S., Particle Simulation of Diffusive Kinetic Equations with Multilevel Monte Carlo. 14th International Conference in Monte Carlo & Quasi-Monte Carlo Methods in Scientific Computing - MCQMC 2020 (online). 10-14 August 2020.