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20082026
most citedNodal Discontinuous Galerkin Methods on Graphics Processors

335 citations · 1.8k across the 47 of their papers we have counts for

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7 papers · 1 filter

gr-qc2013★ 217 cited

Fast prediction and evaluation of gravitational waveforms using surrogate models

Scott E. Field, Chad R. Galley, Jan S. Hesthaven +2

[Abridged] We propose a solution to the problem of quickly and accurately predicting gravitational waveforms within any given physical model. The method is relevant for both real-t…

gr-qc2012★ 39 cited

Numerical simulations with a first order BSSN formulation of Einstein's field equations

J. David Brown, Peter Diener, Scott E. Field +7

We present a new fully first order strongly hyperbolic representation of the BSSN formulation of Einstein's equations with optional constraint damping terms. We describe the charac…

gr-qc2011★ 99 cited

Reduced basis catalogs for gravitational wave templates

Scott E. Field, Chad R. Galley, Frank Herrmann +3

We introduce a reduced basis approach as a new paradigm for modeling, representing and searching for gravitational waves. We construct waveform catalogs for non-spinning compact bi…

gr-qc2010★ 39 cited

Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators

Scott E. Field, Jan S. Hesthaven, Stephen R. Lau +1

We present a high-order accurate discontinuous Galerkin method for evolving the spherically-reduced Baumgarte-Shapiro-Shibata-Nakamura (BSSN) system expressed in terms of second-or…

gr-qc2010★ 23 cited

Persistent junk solutions in time-domain modeling of extreme mass ratio binaries

Scott E. Field, Jan S. Hesthaven, Stephen R. Lau

In the context of metric perturbation theory for non-spinning black holes, extreme mass ratio binary (EMRB) systems are described by distributionally forced master wave equations.…

gr-qc2009★ 50 cited

Discontinuous Galerkin method for computing gravitational waveforms from extreme mass ratio binaries

Scott E. Field, Jan S. Hesthaven, Stephen R. Lau

Gravitational wave emission from extreme mass ratio binaries (EMRBs) should be detectable by the joint NASA-ESA LISA project, spurring interest in analytical and numerical methods…

gr-qc2008★ 12 cited

IMEX evolution of scalar fields on curved backgrounds

Stephen R. Lau, Harald P. Pfeiffer, Jan S. Hesthaven

Inspiral of binary black holes occurs over a time-scale of many orbits, far longer than the dynamical time-scale of the individual black holes. Explicit evolutions of a binary syst…