Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Wingate, Beth"'
This paper introduces a new algorithm to improve the accuracy of numerical phase-averaging in oscillatory, multiscale, differential equations. Phase-averaging is a technique that applies averaging to a mapped variable to remove highly oscillatory lin
Externí odkaz:
http://arxiv.org/abs/2404.03964
For simulations of time evolution problems, such as weather and climate models, taking the largest stable timestep is advantageous for reducing wall-clock time. A drawback of doing so is the potential reduction in nonlinear accuracy of the numerical
Externí odkaz:
http://arxiv.org/abs/2305.06685
The present study is an extension of the work done in Parareal convergence for oscillatory pdes with finite time-scale separation (2019), A. G. Peddle, T. Haut, and B. Wingate, [16], and An asymptotic parallel-in-time method for highly oscillatory pd
Externí odkaz:
http://arxiv.org/abs/2211.17239
We describe a proof-of-concept development and application of a phase averaging technique to the nonlinear rotating shallow water equations on the sphere, discretised using compatible finite element methods. Phase averaging consists of averaging the
Externí odkaz:
http://arxiv.org/abs/2103.07706
We introduce a higher order phase averaging method for nonlinear oscillatory systems. Phase averaging is a technique to filter fast motions from the dynamics whilst still accounting for their effect on the slow dynamics. Phase averaging is useful for
Externí odkaz:
http://arxiv.org/abs/2102.11644
Motivated by problems arising in geophysical fluid dynamics, we investigate resonant and near resonant wave interactions in nonlinear wave equations with quadratic nonlinearity, We place a special focus on interactions between slow wave modes, with z
Externí odkaz:
http://arxiv.org/abs/1903.06265
In this paper we examine triad resonances in a rotating shallow water system when there are two free interfaces. This allows for an examination in a relatively simple model of the interplay between baroclinic and barotropic dynamics in a context wher
Externí odkaz:
http://arxiv.org/abs/1803.01736
A variant of the Parareal method for highly oscillatory systems of PDEs was proposed by Haut and Wingate (2014). In that work they proved superlinear conver- gence of the method in the limit of infinite time scale separation. Their coarse solver feat
Externí odkaz:
http://arxiv.org/abs/1705.09565
We report the results of a computational investigation of two blow-up criteria for the 3D incompressible Euler equations. One criterion was proven in a previous work, and a related criterion is proved here. These criteria are based on an inviscid reg
Externí odkaz:
http://arxiv.org/abs/1512.07877
With steadily increasing parallelism for high-performance architectures, simulations requiring a good strong scalability are prone to be limited in scalability with standard spatial-decomposition strategies at a certain amount of parallel processors.
Externí odkaz:
http://arxiv.org/abs/1506.05157