3 citations · 3 across the 3 of their papers we have counts for
3 papers
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…
Parallel-in-Time Solver for the All-at-Once Runge--Kutta Discretization
Santolo Leveque, Luca Bergamaschi, Ángeles Martínez +1
In this article, we derive fast and robust parallel-in-time preconditioned iterative methods for the all-at-once linear systems arising upon discretization of time-dependent PDEs.…
MultiShape: A Spectral Element Method, with Applications to Dynamic Density Functional Theory and PDE-Constrained Optimization
Jonna C. Roden, Rory D. Mills-Williams, John W. Pearson +1
A numerical framework is developed to solve various types of PDEs on complicated domains, including steady and time-dependent, non-linear and non-local PDEs, with different boundar…