32 citations · 89 across the 6 of their papers we have counts for
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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…
DIRK Schemes with High Weak Stage Order
David Ketcheson, Benjamin Seibold, David Shirokoff +1
Runge-Kutta time-stepping methods in general suffer from order reduction: the observed order of convergence may be less than the formal order when applied to certain stiff problems…
Unconditional Stability for Multistep ImEx Schemes: Practice
Benjamin Seibold, David Shirokoff, Dong Zhou
This paper focuses on the question of how unconditional stability can be achieved via multistep ImEx schemes, in practice problems where both the implicit and explicit terms are al…
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…
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…
Meshfree finite differences for vector Poisson and pressure Poisson equations with electric boundary conditions
Dong Zhou, Benjamin Seibold, David Shirokoff +2
We demonstrate how meshfree finite difference methods can be applied to solve vector Poisson problems with electric boundary conditions. In these, the tangential velocity and the i…