12 citations · 20 across the 6 of their papers we have counts for
6 papers
Experiences Readying Applications for Exascale
Paul T. Bauman, Reuben D. Budiardja, Dmytro Bykov +29
The advent of exascale computing invites an assessment of existing best practices for developing application readiness on the world's largest supercomputers. This work details obse…
Neumann Series in GMRES and Algebraic Multigrid Smoothers
Stephen Thomas, Arielle Carr, Paul Mullowney +2
Neumann series underlie both Krylov methods and algebraic multigrid smoothers. A low-synch modified Gram-Schmidt (MGS)-GMRES algorithm is described that employs a Neumann series to…
ILU Smoothers for Low Mach Navier-Stokes Pressure Solvers
Stephen Thomas, Arielle Carr, Paul Mullowney +2
Incomplete LU (ILU) smoothers are effective in the algebraic multigrid (AMG) -cycle for reducing high-frequency components of the error. However, the requisite direct triangular…
Two-Stage Gauss--Seidel Preconditioners and Smoothers for Krylov Solvers on a GPU cluster
Luc Berger-Vergiat, Brian Kelley, Sivasankaran Rajamanickam +5
Gauss-Seidel (GS) relaxation is often employed as a preconditioner for a Krylov solver or as a smoother for Algebraic Multigrid (AMG). However, the requisite sparse triangular solv…
A GEMM interface and implementation on NVIDIA GPUs for multiple small matrices
Chetan Jhurani, Paul Mullowney
We present an interface and an implementation of the General Matrix Multiply (GEMM) routine for multiple small matrices processed simultaneously on NVIDIA graphics processing units…
Chaotic Advection and the Emergence of Tori in the Küppers-Lortz State
Paul Mullowney, Keith Julien, James D. Meiss
Motivated by the roll-switching behavior observed in rotating Rayleigh-Bénard convection, we define a Küppers-Lortz (K-L) state as a volume-preserving flow with periodic roll switc…