# Parallel-in-time integration of kinematic dynamos

@article{Clarke2020ParallelintimeIO, title={Parallel-in-time integration of kinematic dynamos}, author={Andrew T. Clarke and Christopher J. Davies and Daniel Ruprecht and Steven M. Tobias}, journal={J. Comput. Phys. X}, year={2020}, volume={7}, pages={100057} }

## 6 Citations

### PFASST-ER: combining the parallel full approximation scheme in space and time with parallelization across the method

- Computer ScienceComputing and Visualization in Science
- 2020

This work couple PFASST with a parallel spectral deferred correction (SDC) method, forming an unprecedented doubly time-parallel integrator, which works more efficiently than the classical variants ofPFASST and can use more processors than time-steps.

### A parallel-in-time approach for accelerating direct-adjoint studies

- Computer ScienceJ. Comput. Phys.
- 2021

### GParareal: A time-parallel ODE solver using Gaussian process emulation

- Computer ScienceArXiv
- 2022

A time-parallel algorithm that solves IVPs by modelling the correction term, i.e. the diﬀerence between coarse solutions and coarse solutions, using a Gaussian process emulator is proposed and it is demonstrated, on a number of IVPs, that GParareal can converge in fewer iterations than parareal, leading to an increase in parallel speed-up.

### Applications of time parallelization

- Computer Science
- 2020

This review article serves to summarize the many advances in time-parallel computations since the excellent review article by Gander, “50 years of Time Parallel Integration” (Gander, in: 50 years of…

### Dedalus: A flexible framework for numerical simulations with spectral methods

- Computer SciencePhysical Review Research
- 2020

The numerical method is a first-order generalized tau formulation that discretizes equations into banded matrices that is implemented with an object-oriented design and the design and implementation of the Dedalus codebase is described.

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