51 citations · 53 across the 5 of their papers we have counts for
5 papers
Fully implicit timestepping methods for the rotating shallow water equations
Werner Bauer, Colin J. Cotter
Fully implicit timestepping methods have several potential advantages for atmosphere/ocean simulation. First, being unconditionally stable, they degrade more gracefully as the Cour…
Data assimilation using a global Girsanov nudged particle filter
Maneesh Kumar Singh, Joshua Hope-Collins, Colin J. Cotter +1
We present a particle filtering algorithm for stochastic models on infinite dimensional state space, making use of Girsanov perturbations to nudge the ensemble of particles into re…
Shifted HSS solvers for the indefinite Helmholtz equation
Colin J Cotter, Kars Knook, Joshua Hope-Collins
We provide an iterative solution approach for the indefinite Helmholtz equation discretised using finite elements, based upon a Hermitian Skew-Hermitian Splitting (HSS) iteration a…
asQ: parallel-in-time finite element simulations using ParaDiag for geoscientific models and beyond
Joshua Hope-Collins, Abdalaziz Hamdan, Werner Bauer +2
Modern high performance computers are massively parallel; for many PDE applications spatial parallelism saturates long before the computer's capability is reached. Parallel-in-time…
Encapsulated formulation of the Selective Frequency Damping method
Bastien E. Jordi, C. J. Cotter, Spencer J. Sherwin
We present an alternative "encapsulated" formulation of the Selective Frequency Damping method for finding unstable equilibria of dynamical systems, which is particularly useful wh…