Long-time integrations are an important issue in the numerical solution of Hamiltonian
systems. They are time consuming and it is natural to consider the use of parallel …

This thesis was prepared at the department of Informatics and Mathematical Modelling at the
Technical University of Denmark in partial fulfilment of the requirements for acquiring the …

We introduce a new strategy for coupling the parallel in time (parareal) iterative
methodology with multiscale integrators. Following the parareal framework, the algorithm …

In SIAM J. Sci. Comput., 36 (2014), pp. A693--A713 the authors present a new coarse
propagator for the parareal method applied to oscillatory PDEs that exhibit time-scale …

As high-performance computing systems now rely on hardware parallelism for continuous
improvements in performance, the timescales accessible to direct molecular dynamics (MD) …

Contest (cone-oriented test pattern generator), an ATPG (automatic test pattern generation)
tool for very large combinational digital circuits, is presented. Contest is based on four major …

In this paper, we consider the problem of accelerating the numerical simulation of time
dependent problems involving a multi-step time scheme by the parareal algorithm. The …

A novel solver which uses finite wave averaging to mitigate oscillatory stiffness is proposed
and analysed. We have found that triad resonances contribute to the oscillatory stiffness of …

Multi-step Variant of the Parareal Algorithm Page 1 Multi-step Variant of the Parareal Algorithm
Katia Ait-Ameur, Yvon Maday, and Marc Tajchman 1 Introduction In the field of nuclear energy …

In this work, the POD-DEIM-based parareal method introduced in [8] is implemented for
solving the two-dimensional nonlinear shallow water equations using a finite volume …