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

2024
FAST, PROVABLY HIGH-ORDER ACCURATE METHODS FOR VOLUME INTEGRAL OPERATORSIn The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation. Pérez-Arancibia, C.SOLVING BOUNDARY AND VOLUME INTEGRAL EQUATIONS WITH INTI.JLIn The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation. Anderson, T. G., Faria, L. M. & Pérez-Arancibia, C.COMBINED FIELD-ONLY BOUNDARY INTEGRAL EQUATIONS FOR ELECTROMAGNETIC SCATTERINGIn 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.WINDOWED GREEN FUNCTION METHOD FOR WAVE SCATTERING BY PERIODIC ARRAYS OF 2D OBSTACLESIn 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.MBE4AAFast, high-order numerical evaluation of volume potentials via polynomial density interpolation, Article 113091 (E-pub ahead of print/First online). Anderson, T. G., Bonnet, M., Faria, L. M. & Pérez-Arancibia, C.https://doi.org/10.1016/j.jcp.2024.113091Construction of polynomial particular solutions of linear constant-coefficient partial differential equations, 94-103. Anderson, T. G., Bonnet, M., Faria, L. M. & Pérez-Arancibia, C.https://doi.org/10.1016/j.camwa.2024.02.045
2023
2022
2021
High-Order Accurate Integral Equation Based Mode Solver for Layered Nanophotonic WaveguidesIn 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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