24 citations · 44 across the 7 of their papers we have counts for
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Accelerating Numerical Relativity Simulations with New Multistep Fourth-Order Runge-Kutta Methods
Lucas Timotheo Sanches, Steven Robert Brandt, Jay Kalinani +2
Many HPC applications that solve differential equations rely on the Runge-Kutta family of methods for time integration. Among these methods, the fourth-order accurate RK4 scheme is…
Neutron star evolution by combining discontinuous Galerkin and finite volume methods
Ananya Adhikari, Wolfgang Tichy, Liwei Ji +1
We present here a new hybrid scheme that combines a discontinuous Galerkin (DG) method with compact finite volume (FV) and finite difference (FD) methods. The computational mesh is…
Ameliorating the Courant-Friedrichs-Lewy condition in spherical coordinates: A double FFT filter method for general relativistic MHD in dynamical spacetimes
Liwei Ji, Vassilios Mewes, Yosef Zlochower +5
Numerical simulations of merging compact objects and their remnants form the theoretical foundation for gravitational wave and multi-messenger astronomy. While Cartesian-coordinate…
The new discontinuous Galerkin methods based numerical relativity program Nmesh
Wolfgang Tichy, Liwei Ji, Ananya Adhikari +2
Interpreting gravitational wave observations and understanding the physics of astrophysical compact objects such as black holes or neutron stars requires accurate theoretical model…