Zilverling

dr. C.A. Pérez Arancibia (Carlos)

Associate Professor
EEMCS-AM-MACS
Zilverling 3032
c.a.perezarancibia@utwente.nl
+31534895193
Business card

I am an Associate Professor 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 part of the Institute for Mathematical and Computational Engineering at Pontificia Universidad CatĆ³lica de Chile (PUC). Prior to that, I spent two years as an Instructor in Applied Mathematics at the Massachusetts Institute of Technology (MIT) in the Department of Mathematics, where I taught several courses, including the graduate courseĀ Fast Methods for Partial Differential and Integral EquationsĀ (18.336).

I earned my Ph.D. in Applied and Computational Mathematics from the California Institute of Technology (Caltech) in 2016. Before that, I completed my masterā€™s and bachelorā€™s degrees in Mathematical Engineering at PUC, supported by the Premio Padre Hurtado and CONICYT scholarships.

Organisations

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

Publications

Jump to: 2024 | 2023 | 2022

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.Reflectionless Discrete Perfectly Matched Layers for Higher-Order Finite Difference Schemes (2024)SIAM journal on scientific computing, 46(5), A3094-A3123. Hojas, V. A., Pérez-Arancibia, C. & Sánchez, M. A.https://doi.org/10.1137/23M1581558Fast, 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.2024.02.045A Complex-Scaled Boundary Integral Equation for Time-Harmonic Water Waves (2024)SIAM journal on applied mathematics, 84(4), 1532-1556. Bonnet-Ben Dhia, A.-S., Faria, L. M. & Pérez-Arancibia, C.https://doi.org/10.1137/23M1607866Combined Field-Only Boundary Integral Equations for PEC Electromagnetic Scattering Problem in Spherical Geometries (2024)SIAM journal on applied mathematics, 84(1), 19-38. Maltez-Faria, L., Pérez-Arancibia, C. & Turc, C.https://doi.org/10.1137/23M1561865

2023

A complex-scaled boundary integral equation for time-harmonic water waves (2023)[Working paper › Preprint]. ArXiv.org. Bonnet-Ben Dhia, A.-S., Faria, L. M. & Pérez-Arancibia, C.https://doi.org/10.48550/arXiv.2310.04127On particular solutions of linear partial differential equations with polynomial right-hand-sides (2023)[Working paper › Preprint]. Anderson, T. G., Bonnet, M., Faria, L. M. & Pérez-Arancibia, C.Combined field-only boundary integral equations for PEC electromagnetic scattering problem in spherical geometries (2023)[Working paper › Preprint]. Faria, L., Perez-arancibia, C. & Turc, C.Windowed Green function method for wave scattering by periodic arrays of 2D obstacles (2023)Studies in Applied Mathematics, 150(1), 277-315. Article 12540. Strauszer, T., Faria, L. M., Fernandez-Lado, A. & Perez-Arancibia, C.https://doi.org/10.1111/sapm.12540

2022

Windowed Green Function MoM for Second-Kind Surface Integral Equation Formulations of Layered Media Electromagnetic Scattering Problems (2022)IEEE transactions on antennas and propagation, 70(12), 11978-11989. Arrieta, R. & Perez-Arancibia, C.https://doi.org/10.1109/TAP.2022.3209245Fast, high-order numerical evaluation of volume potentials via polynomial density interpolation (2022)[Working paper › Preprint]. Anderson, T. G., Bonnet, M., Faria, L. M. & Pérez-Arancibia, C.

Research profiles

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