3 papers
math.NA2026
Applying acceleration to Krylov subspace eigenvalue solvers
Michelle Baker, Sara Pollock
In this paper, we apply acceleration to the inverse-free preconditioned Krylov subspace method introduced by Golub and Ye, which solves the symmetric generalized eigenvalue problem…
math.NA2024
Analysis of the Picard-Newton iteration for the Navier-Stokes equations: global stability and quadratic convergence
Sara Pollock, Leo Rebholz, Xuemin Tu +1
We analyze and test a simple-to-implement two-step iteration for the incompressible Navier-Stokes equations that consists of first applying the Picard iteration and then applying t…
math.NA2024
Analysis of an Adaptive Safeguarded Newton-Anderson Algorithm of Depth One with Applications to Fluid Problems
Matt Dallas, Sara Pollock, Leo G. Rebholz
The purpose of this paper is to develop a practical strategy to accelerate Newton's method in the vicinity of singular points. We present an adaptive safeguarding scheme with a tun…