58 citations · 80 across the 7 of their papers we have counts for
7 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…
Conservation of Angular Momentum in the Fast Multipole Method
Oleg Korobkin, Hyun Lim, Irina Sagert +5
Smoothed particle hydrodynamics (SPH) is positioned as having ideal conservation properties. When properly implemented, conservation of total mass, energy, and both linear and angu…
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…
Nonlinear Dynamics of Quadratic Gravity in Spherical Symmetry
Aaron Held, Hyun Lim
We present the first numerically stable nonlinear evolution for the leading-order gravitational effective field theory (Quadratic Gravity) in the spherically-symmetric sector. The…
Massively Parallel Simulations of Binary Black Hole Intermediate-Mass-Ratio Inspirals
Milinda Fernando, David Neilsen, Hyun Lim +2
We present a highly-scalable framework that targets problems of interest to the numerical relativity and broader astrophysics communities. This framework combines a parallel octree…
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…