Matrices coming from elliptic Partial Differential Equations have been shown to have a low-
rank property that can be efficiently exploited in multifrontal solvers to provide a substantial …

Numerical solutions of Maxwell's equations are indispensable for nanophotonics and
electromagnetics but are constrained when it comes to large systems, especially multi …

We introduce a novel approach to exploit mixed precision arithmetic for low-rank
approximations. Our approach is based on the observation that singular vectors associated …

The standard LU factorization-based solution process for linear systems can be enhanced in
speed or accuracy by employing mixed-precision iterative refinement. Most recent work has …

Maximum likelihood estimation is an important statistical technique for estimating missing
data, for example in climate and environmental applications, which are usually large and …

This paper presents two approaches using a Block Low-Rank (BLR) compression technique
to reduce the memory footprint and/or the time-to-solution of the sparse supernodal solver …

Matrices possessing a low-rank property arise in numerous scientific applications. This
property can be exploited to provide a substantial reduction of the complexity of their LU or …

Frequency-domain full-waveform inversion (FWI) is potentially amenable to efficient
processing of full-azimuth long-offset stationary-recording seabed acquisition carried out …

Efficient frequency-domain full-waveform inversion (FWI) of long-offset node data can be
designed with a few discrete frequencies, which lead to modest data volumes to be …

Efficient frequency-domain full-waveform inversion (FWI) of long-offset node data can be
performed with a few frequencies. The seismic response of these frequencies can be …