19 citations · 43 across the 17 of their papers we have counts for
23 papers
Parallel-in-Time Preconditioning for Time-Dependent Variational Mean Field Games
Heidi Wolles Ljósheim, Dante Kalise, John W. Pearson +1
We study the numerical approximation of a time-dependent variational mean field game system with local couplings and either periodic or Neumann boundary conditions. Following a var…
Stabilizing randomized GMRES through flexible GMRES
Stefan Güttel, John W. Pearson
We explore the use of flexible GMRES as an outer wrapper for sketched GMRES. Building on a new bound for the residual of FGMRES in terms of the residual of the preconditioner, we d…
Block Alpha-Circulant Preconditioners for All-at-Once Diffusion-Based Covariance Operators
Jemima M. Tabeart, Selime Gürol, John W. Pearson +1
Covariance matrices are central to data assimilation and inverse methods derived from statistical estimation theory. Previous work has considered the application of an all-at-once…
Automatic Differentiation for All-at-once Systems Arising in Certain PDE-Constrained Optimization Problems
Santolo Leveque, James R. Maddison, John W. Pearson
An automated framework is presented for the numerical solution of optimal control problems with PDEs as constraints, in both the stationary and instationary settings. The associate…
Fast numerical solvers for parameter identification problems in mathematical biology
Karolína Benková, John W. Pearson, Mariya Ptashnyk
In this paper, we consider effective discretization strategies and iterative solvers for nonlinear PDE-constrained optimization models for pattern evolution within biological proce…
Diagonalization-Based Parallel-in-Time Preconditioners for Instationary Fluid Flow Control Problems
Bernhard Heinzelreiter, John W. Pearson
We derive a new parallel-in-time approach for solving large-scale optimization problems constrained by time-dependent partial differential equations arising from fluid dynamics. Th…