135 citations · 228 across the 5 of their papers we have counts for
5 papers
Discontinuous collocation and symmetric integration methods for distributionally-sourced hyperboloidal partial differential equations
Michael F. O'Boyle, Charalampos Markakis
This work outlines a time-domain numerical integration technique for linear hyperbolic partial differential equations sourced by distributions (Dirac -functions and their deriva…
Conservative Evolution of Black Hole Perturbations with Time-Symmetric Numerical Methods
Michael F. O'Boyle, Charalampos Markakis, Lidia J. Gomes Da Silva +2
The scheduled launch of the LISA Mission in the next decade has called attention to the gravitational self-force problem. Despite an extensive body of theoretical work, long-time n…
A Parametrized Equation of State for Neutron Star Matter with Continuous Sound Speed
Michael F. O'Boyle, Charalampos Markakis, Nikolaos Stergioulas +1
We present a generalized piecewise polytropic parameterization for the neutron-star equation of state using an ansatz that imposes continuity in not only pressure and energy densit…
Time-symmetry, symplecticity and stability of Euler-Maclaurin and Lanczos-Dyche integration
Charalampos M. Markakis, Michael F. O'Boyle, Derek Glennon +5
Numerical evolution of time-dependent differential equations via explicit Runge-Kutta or Taylor methods typically fails to preserve symmetries of a system. It is known that there e…
Joint Spectral Characterization of Photon-Pair Sources
Kevin Zielnicki, Karina Garay-Palmett, Daniel Cruz-Delgado +6
The ability to determine the joint spectral properties of photon pairs produced by the processes of spontaneous parametric downconversion (SPDC) and spontaneous four wave mixing (S…