26 citations · 52 across the 7 of their papers we have counts for
8 papers
Asymptotic constraints for 1D planar grey photon diffusion from linear transport with special-relativistic effects
Ryan T. Wollaeger, Jim E. Morel, Kendra P. Long +2
We derive a grey linear diffusion equation for photons with respect to inertial (or lab-frame) space and time, using asymptotic analysis in 1D planar geometry. The solution of the…
The cost of solving linear differential equations on a quantum computer: fast-forwarding to explicit resource counts
David Jennings, Matteo Lostaglio, Robert B. Lowrie +2
How well can quantum computers simulate classical dynamical systems? There is increasing effort in developing quantum algorithms to efficiently simulate dynamics beyond Hamiltonian…
A near-term quantum algorithm for solving linear systems of equations based on the Woodbury identity
Daniel O'Malley, Jessie M. Henderson, Elijah Pelofske +5
Quantum algorithms for solving linear systems of equations have generated excitement because of the potential speed-ups involved and the importance of solving linear equations in m…
Challenges for quantum computation of nonlinear dynamical systems using linear representations
Yen Ting Lin, Robert B. Lowrie, Denis Aslangil +2
A number of recent studies have proposed that linear representations are appropriate for solving nonlinear dynamical systems with quantum computers, which fundamentally act linearl…
Tracer Transport within an Unstructured Grid Ocean Model using Characteristic Discontinuous Galerkin Advection
D. Lee, M. Petersen, R. Lowrie +1
In a previous article a characteristic discontinuous Galerkin (CDG) advection scheme was presented for tracer transport. The scheme is conservative, unconditionally stable with res…
The equilibrium-diffusion limit for radiation hydrodynamics
J. M. Ferguson, J. E. Morel, R. B. Lowrie
The equilibrium-diffusion approximation (EDA) is used to describe certain radiation-hydrodynamic (RH) environments. When this is done the RH equations reduce to a simplified set of…