A gradient-augmented level set method with an optimally local, coherent advection scheme. - Jean-Christophe Nave; Rodolfo Ruben Rosales; Benjamin Seibold (J. Comput. Phys., 2010)

A Correction Function Method for Poisson problems with interface jump conditions. - Alexandre Noll Marques; Jean-Christophe Nave; Rodolfo Ruben Rosales (J. Comput. Phys., 2011)

An efficient method for the incompressible Navier-Stokes equations on irregular domains with no-slip boundary conditions, high order up to the boundary. - David Shirokoff; Rodolfo Ruben Rosales (J. Comput. Phys., 2011)

Constructing set-valued fundamental diagrams from Jamiton solutions in second order traffic models. - Benjamin Seibold; Morris R. Flynn; Aslan R. Kasimov; Rodolfo Ruben Rosales (Networks Heterog. Media, 2013)

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

High order solution of Poisson problems with piecewise constant coefficients and interface jumps. - Alexandre Noll Marques; Jean-Christophe Nave; Rodolfo Ruben Rosales (J. Comput. Phys., 2017)

Unconditional Stability for Multistep ImEx Schemes: Theory. - Rodolfo Ruben Rosales; Benjamin Seibold; David Shirokoff; Dong Zhou (SIAM J. Numer. Anal., 2017)

Structural Properties of the Stability of Jamitons. - Rabie Ramadan 002; Rodolfo Ruben Rosales; Benjamin Seibold (CoRR, 2019)

Imposing jump conditions on nonconforming interfaces for the Correction Function Method: A least squares approach. - Alexandre Noll Marques; Jean-Christophe Nave; Rodolfo Ruben Rosales (J. Comput. Phys., 2019)

High-order Methods for a Pressure Poisson Equation Reformulation of the Navier-Stokes Equations with Electric Boundary Conditions. - Rodolfo Ruben Rosales; Benjamin Seibold; David Shirokoff; Dong Zhou (CoRR, 2020)