20 citations · 24 across the 6 of their papers we have counts for
6 papers
Numerical Investigations of Stable Dynamics in the Presence of Ghosts
Jax Wysong, Samara Overvaag, Hyun Lim +1
We explore the nonlinear dynamics of classical field theories containing ghost degrees of freedom, focusing on two coupled scalar fields with opposite kinetic terms in (1+1) and (2…
A Spacetime Finite Elements Method to Solve the Dirac Equation
Rylee Sundermann, Hyun Lim, Jace Waybright +1
In this work, a fully implicit numerical approach based on space-time finite element method is presented to solve the Dirac equation in 1 (space) + 1 (time), 2 + 1, and 3 + 1 dimen…
Parallel Simulations of Biofilm Flow Using the Modified Cahn-Hilliard Equation
Nathan McClanahan, Nicholas Stegmeier, Rylee Sundermann +2
We present a 2D parallel implementation of the modified Cahn-Hilliard equation for the simulation of a biofilm in an aqueous enviroment. Biofilms are attached microbial communities…
A Study of Space-Time Discretizations for the Dirac Equation
Robert Vaselaar, Hyun Lim, Jung-Han Kimn
We study several numerical discretization techniques for the one-space plus one-time dimensional Dirac equation, including finite difference and space-time finite element methods.…
Exploring Critical Collapse in the Semilinear Wave Equation using Space-Time Finite Elements
Hyun Lim, Matthew Anderson, Jung-Han Kimn
A fully implicit numerical approach based on the space-time finite element method is implemented for the semilinear wave equation in 1(space) + 1(time) and 2 + 1 dimensions to expl…
A Numerical Approach to Space-Time Finite Elements for the Wave Equation
Matthew Anderson, Jung-Han Kimn
We study a space-time finite element approach for the nonhomogeneous wave equation using a continuous time Galerkin method. We present fully implicit examples in 1+1, 2+1, and 3+1…