1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NA2024
Optimization of Approximate Maps for Linear Systems Arising in Discretized PDEs
Rishad Islam, Arielle Carr, Colin Jacobs
Generally, discretization of partial differential equations (PDEs) creates a sequence of linear systems with well-known and structured sparsity…
math.NA2024
Implementing Recycling Methods for Linear Systems in Python with an Application to Multiple Objective Optimization
Ainara Garcia, Sihong Xie, Arielle Carr
Sequences of linear systems arise in the predictor-corrector method when computing the Pareto front for multi-objective optimization. Rather than discarding information generated w…
math.NA2021★ 1 cited
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…