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math.NA2023
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.…
math.NA2022★ 3 cited
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…