139 citations · 883 across the 22 of their papers we have counts for
24 papers
A discrete complex Ginzburg-Landau equation for a hydrodynamic active lattice
Stuart J. Thomson, Matthew Durey, Rodolfo R. Rosales
A discrete and periodic complex Ginzburg-Landau equation, coupled to a discrete mean equation, is systematically derived from a driven and dissipative oscillator model, close to th…
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 +1
Pressure Poisson equation (PPE) reformulations of the incompressible Navier-Stokes equations (NSE) replace the incompressibility constraint by a Poisson equation for the pressure a…
Structural Properties of the Stability of Jamitons
Rabie A. Ramadan, Rodolfo Ruben Rosales, Benjamin Seibold
It is known that inhomogeneous second-order macroscopic traffic models can reproduce the phantom traffic jam phenomenon: whenever the sub-characteristic condition is violated, unif…
Spatial Manifestations of Order Reduction in Runge-Kutta Methods for Initial Boundary Value Problems
Rodolfo Ruben Rosales, Benjamin Seibold, David Shirokoff +1
This paper studies the spatial manifestations of order reduction that occur when time-stepping initial-boundary-value problems (IBVPs) with high-order Runge-Kutta methods. For such…
Imposing jump conditions on nonconforming interfaces for the Correction Function Method: a least squares approach
Alexandre Noll Marques, Jean-Christophe Nave, Rodolfo Ruben Rosales
We introduce a technique that simplifies the problem of imposing jump conditions on interfaces that are not aligned with a computational grid in the context of the Correction Funct…
Unconditional Stability for Multistep ImEx Schemes: Theory
Rodolfo Ruben Rosales, Benjamin Seibold, David Shirokoff +1
This paper presents a new class of high order linear ImEx multistep schemes with large regions of unconditional stability. Unconditional stability is a desirable property of a time…