I am an Assistant Professor (UD-1, with tenure) in the Mathematics of Computational Science (MACS) group at the University of Twente (UT), The Netherlands.

My research focuses on wave phenomena, boundary integral equations, and high-order PDE solvers.

Before joining UT, I was with the Institute for Mathematical and Computational Engineering at Pontificia Universidad Católica de Chile (PUC). Prior to that, I spent two years as an Instructor in Applied Mathematics at the Massachusetts Institute of Technology (MIT) - Department of Mathematics, where I mainly worked with Prof. Steven Johnson. At MIT, I taught various courses, including the graduate course "Fast Methods for Partial Differential and Integral Equations" (18.336).

I hold a Ph.D. in Applied and Computational Mathematics from the California Institute of Technology (Caltech), awarded in 2016. Additionally, I obtained a master's and a bachelor's degree in Mathematical Engineering from PUC, with support from Premio Padre Hurtado and CONICYT, respectively.

Organisations

https://caperezar.github.io/research.html

Publications

Jump to: 2024 | 2023 | 2022 | 2021

2024

FAST, PROVABLY HIGH-ORDER ACCURATE METHODS FOR VOLUME INTEGRAL OPERATORS (2024)In The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation. Pérez-Arancibia, C.Fast, high-order numerical evaluation of volume potentials via polynomial density interpolation (2024)Journal of computational physics, 511. Article 113091. Anderson, T. G., Bonnet, M., Faria, L. M. & Pérez-Arancibia, C.https://doi.org/10.1016/j.jcp.2024.113091COMBINED FIELD-ONLY BOUNDARY INTEGRAL EQUATIONS FOR ELECTROMAGNETIC SCATTERING (2024)In The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation (pp. 71-72). Anderson, T. G., Bonnet, M., Faria, L. M. & Pérez-Arancibia, C.SOLVING BOUNDARY AND VOLUME INTEGRAL EQUATIONS WITH INTI.JL (2024)In The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation. Anderson, T. G., Faria, L. M. & Pérez-Arancibia, C.WINDOWED GREEN FUNCTION METHOD FOR WAVE SCATTERING BY PERIODIC ARRAYS OF 2D OBSTACLES (2024)In The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation. Caussade, T., Faria, L. M. & Pérez-Arancibia, C.https://doi.org/10.17617/3.MBE4AAConstruction of polynomial particular solutions of linear constant-coefficient partial differential equations (2024)Computers & mathematics with applications, 162, 94-103. Anderson, T. G., Bonnet, M., Faria, L. M. & Pérez-Arancibia, C.https://doi.org/10.1016/j.camwa.2024.02.045

2021

High-Order Accurate Integral Equation Based Mode Solver for Layered Nanophotonic Waveguides (2021)In 2021 IEEE MTT-S International Microwave Symposium (IMS) (pp. 128-131). Hu, J., Emmanuel, G., Perez-Arancibia, C. & Sideris, C.https://doi.org/10.1109/IMS19712.2021.9574857

Research profiles

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