I'm a research associate at the University of Oxford, affiliated with the Oxford Centre for Nonlinear Partial Differential Equations at the Mathematical Institute. In addition, I serve as a non-stipendiary lecturer at the Queen's college.

Prior to this, I worked as a postdoctoral researcher at the Université de Lille with the ANEDP and Inria RAPSODI groups, under the supervision of Thomas Rey. I earned my doctorate at Imperial College London, where my advisors were José Antonio Carrillo and Pierre Degond.

My primary area of interest lies in the numerical analysis of kinetic equations and other partial differential equations (PDEs). I'm also fascinated by collective dynamics, self-organisation, and the control of agent-based models.

Rafael Bailo

José Antonio Carrillo

Stefano Fronzoni

David Gómez-Castro

Rafael Bailo · José Antonio Carrillo · Stefano Fronzoni · David Gómez-Castro

**arXiv: 2309.08283**, 2023.

```
@Article{BCF2023
title={A finite-volume scheme for fractional diffusion on bounded domains},
author={Bailo, Rafael and Carrillo, José Antonio and Fronzoni, Stefano and Gómez-Castro, David},
journal={arXiv: 2309.08283},
year={2023},
doi={10.48550/arXiv.2309.08283},
archivePrefix={arXiv},
arxivId={2309.08283},
eprint={2309.08283},
}
```

Rafael Bailo

José Antonio Carrillo

Jingwei Hu

Rafael Bailo · José Antonio Carrillo · Jingwei Hu

**SIAM Journal on Applied Mathematics**, 83 (3), 2023.

```
@Article{BCH2023
title={Bound-preserving finite-volume schemes for systems of continuity equations with saturation},
author={Bailo, Rafael and Carrillo, José Antonio and Hu, Jingwei},
journal={SIAM J Appl Math},
year={2023},
doi={10.1137/22M1488703},
volume={83},
number={3},
archivePrefix={arXiv},
arxivId={2110.08186},
eprint={2110.08186},
}
```

Rafael Bailo

José Antonio Carrillo

Serafim Kalliadasis

Sergio P. Perez

Rafael Bailo · José Antonio Carrillo · Serafim Kalliadasis · Sergio P. Perez

**Communications in Computational Physics**, 2023 (to appear).

```
@Article{BCK2023
title={Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation},
author={Bailo, Rafael and Carrillo, José Antonio and Kalliadasis, Serafim and Perez, Sergio P.},
journal={Commun Comput Phys (to appear)},
year={2023},
doi={10.48550/arXiv.2105.05351},
archivePrefix={arXiv},
arxivId={2105.05351},
eprint={2105.05351},
}
```