Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Müller, Eike H."'
Gaussian random fields play an important role in many areas of science and engineering. In practice, they are often simulated by sampling from a high-dimensional multivariate normal distribution, which arises from the discretisation of a suitable pre
Externí odkaz:
http://arxiv.org/abs/2407.12149
At the heart of the Met Office climate and weather forecasting capabilities lies a sophisticated numerical model which solves the equations of large-scale atmospheric flow. Since this model uses semi-implicit time-stepping, it requires the repeated s
Externí odkaz:
http://arxiv.org/abs/2307.04528
Autor:
Betteridge, Jack D., Cotter, Colin J., Gibson, Thomas H., Griffith, Matthew J., Melvin, Thomas, Müller, Eike H.
Compatible finite element discretisations for the atmospheric equations of motion have recently attracted considerable interest. Semi-implicit timestepping methods require the repeated solution of a large saddle-point system of linear equations. Prec
Externí odkaz:
http://arxiv.org/abs/2210.11797
Numerical climate- and weather-prediction requires the fast solution of the equations of fluid dynamics. Discontinuous Galerkin (DG) discretisations have several advantageous properties. They can be used for arbitrary domains and support a structured
Externí odkaz:
http://arxiv.org/abs/2004.09389
Molecular Dynamics (MD) codes predict the fundamental properties of matter by following the trajectories of a collection of interacting model particles. To exploit diverse modern manycore hardware, efficient codes must use all available parallelism.
Externí odkaz:
http://arxiv.org/abs/1708.01135
Developers of Molecular Dynamics (MD) codes face significant challenges when adapting existing simulation packages to new hardware. In a continuously diversifying hardware landscape it becomes increasingly difficult for scientists to be experts both
Externí odkaz:
http://arxiv.org/abs/1704.03329
Autor:
Katsiolides, Grigoris, Müller, Eike H., Scheichl, Robert, Shardlow, Tony, Giles, Michael B., Thomson, David J.
A common way to simulate the transport and spread of pollutants in the atmosphere is via stochastic Lagrangian dispersion models. Mathematically, these models describe turbulent transport processes with stochastic differential equations (SDEs). The c
Externí odkaz:
http://arxiv.org/abs/1612.07717
We consider solving the exterior Dirichlet problem for the Helmholtz equation with the $h$-version of the boundary element method (BEM) using the standard second-kind combined-field integral equations. We prove a new, sharp bound on how the number of
Externí odkaz:
http://arxiv.org/abs/1608.01035
Publikováno v:
In Journal of Computational Physics 1 February 2021 426
This paper applies several well-known tricks from the numerical treatment of deterministic differential equations to improve the efficiency of the Multilevel Monte Carlo (MLMC) method for stochastic differential equations (SDEs) and especially the La
Externí odkaz:
http://arxiv.org/abs/1409.2342