Zobrazeno 1 - 10
of 7 620
pro vyhledávání: '"A. Goetschel"'
As supercomputers grow in hardware complexity, their susceptibility to faults increases and measures need to be taken to ensure the correctness of results. Some numerical algorithms have certain characteristics that allow them to recover from some ty
Externí odkaz:
http://arxiv.org/abs/2412.00529
Autor:
Cook, Roger F.
Publikováno v:
The German Quarterly, 2020 Jul 01. 93(3), 417-418.
Externí odkaz:
https://www.jstor.org/stable/48586570
Autor:
Witte, Maximilian, Lapolli, Fabricio Rodrigues, Freese, Philip, Götschel, Sebastian, Ruprecht, Daniel, Korn, Peter, Kadow, Christopher
Using the nonlinear shallow water equations as benchmark, we demonstrate that a simulation with the ICON-O ocean model with a 20km resolution that is frequently corrected by a U-net-type neural network can achieve discretization errors of a simulatio
Externí odkaz:
http://arxiv.org/abs/2404.06400
Autor:
Angel, Judith, Behrens, Jörn, Götschel, Sebastian, Hollm, Marten, Ruprecht, Daniel, Seifried, Robert
Publikováno v:
Computers & Fluids 278, pp. 106321, 2024
Knowledge of the bottom topography, also called bathymetry, of rivers, seas or the ocean is important for many areas of maritime science and civil engineering. While direct measurements are possible, they are time consuming and expensive. Therefore,
Externí odkaz:
http://arxiv.org/abs/2404.05556
Iterative parallel-in-time algorithms like Parareal can extend scaling beyond the saturation of purely spatial parallelization when solving initial value problems. However, they require the user to build coarse models to handle the inevitably serial
Externí odkaz:
http://arxiv.org/abs/2404.02521
We investigate parallel performance of parallel spectral deferred corrections, a numerical approach that provides small-scale parallelism for the numerical solution of initial value problems. The scheme is applied to the shallow water equation and us
Externí odkaz:
http://arxiv.org/abs/2403.20135
Parallel-across-the method time integration can provide small scale parallelism when solving initial value problems. Spectral deferred corrections (SDC) with a diagonal sweeper, which is closely related to iterated Runge-Kutta methods proposed by Van
Externí odkaz:
http://arxiv.org/abs/2403.18641
Spectral Deferred Correction (SDC) is an iterative method for the numerical solution of ordinary differential equations. It works by refining the numerical solution for an initial value problem by approximately solving differential equations for the
Externí odkaz:
http://arxiv.org/abs/2403.13454