Study of a Model Equation in Detonation Theory. - Luiz M. Faria; Aslan R. Kasimov; Rodolfo Ruben Rosales (SIAM J. Appl. Math., 2014)

Study of a Model Equation in Detonation Theory: Multidimensional Effects. - Luiz M. Faria; Aslan R. Kasimov; R. R. Rosales (SIAM J. Appl. Math., 2016)

Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D. - Carlos Pérez-Arancibia; Luiz M. Faria; Catalin Turc (J. Comput. Phys., 2019)

Planewave Density Interpolation Methods for 3D Helmholtz Boundary Integral Equations. - Carlos Pérez-Arancibia; Catalin Turc; Luiz M. Faria (SIAM J. Sci. Comput., 2019)

General-purpose kernel regularization of boundary integral equations via density interpolation. - Luiz M. Faria; Carlos Pérez-Arancibia; Marc Bonnet (CoRR, 2020)

Windowed Green function method for wave scattering by periodic arrays of 2D obstacles. - Thomas Strauszer-Caussade; Luiz M. Faria; Agustín Fernandez-Lado; Carlos Pérez-Arancibia (CoRR, 2022)

High-order numerical evaluation of volume potentials via polynomial density interpolation. - Thomas G. Anderson; Luiz M. Faria; Marc Bonnet; Carlos Pérez-Arancibia (CoRR, 2022)

On particular solutions of linear partial differential equations with polynomial right-hand-sides. - Thomas G. Anderson; Marc Bonnet; Luiz M. Faria; Carlos Pérez-Arancibia (CoRR, 2023)

Construction of polynomial particular solutions of linear constant-coefficient partial differential equations. - Thomas G. Anderson; Marc Bonnet; Luiz M. Faria; Carlos Pérez-Arancibia (Comput. Math. Appl., 2024)

Fast, high-order numerical evaluation of volume potentials via polynomial density interpolation. - Thomas G. Anderson; Marc Bonnet; Luiz M. Faria; Carlos Pérez-Arancibia (J. Comput. Phys., 2024)

A Complex-Scaled Boundary Integral Equation for Time-Harmonic Water Waves. - Anne-Sophie Bonnet-Ben Dhia; Luiz M. Faria; Carlos Pérez-Arancibia (SIAM J. Appl. Math., 2024)

Combined Field-Only Boundary Integral Equations for PEC Electromagnetic Scattering Problem in Spherical Geometries. - Luiz M. Faria; Carlos Pérez-Arancibia; Catalin Turc (SIAM J. Appl. Math., 2024)