179 citations · 271 across the 15 of their papers we have counts for
5 papers · 1 filter
Towards the Use of Anderson Acceleration in Coupled Transport-Gyrokinetic Turbulence Simulations
David J. Gardner, Lynda L. LoDestro, Carol S. Woodward
Predicting the behavior of a magnetically confined fusion plasma over long time periods requires methods that can bridge the difference between transport and turbulent time scales.…
SUNDIALS Time Integrators for Exascale Applications with Many Independent ODE Systems
Cody J. Balos, Marc Day, Lucas Esclapez +8
Many complex systems can be accurately modeled as a set of coupled time-dependent partial differential equations (PDEs). However, solving such equations can be prohibitively expens…
Leveraging Mixed Precision in Exponential Time Integration Methods
Cody J. Balos, Steven Roberts, David J. Gardner
The machine learning explosion has created a prominent trend in modern computer hardware towards low precision floating-point operations. In response, there have been growing effor…
Performance of explicit and IMEX MRI multirate methods on complex reactive flow problems within modern parallel adaptive structured grid frameworks
John J. Loffeld, Andy Nonaka, Daniel R. Reynolds +2
Large-scale multiphysics simulations are computationally challenging due to the coupling of multiple processes with widely disparate time scales. The advent of exascale computing s…
Performance of Low Synchronization Orthogonalization Methods in Anderson Accelerated Fixed Point Solvers
Shelby Lockhart, David J. Gardner, Carol S. Woodward +2
Anderson Acceleration (AA) is a method to accelerate the convergence of fixed point iterations for nonlinear, algebraic systems of equations. Due to the requirement of solving a le…