The digital revolution of Earth-system science

P Bauer, PD Dueben, T Hoefler, T Quintino… - Nature Computational …, 2021 - nature.com
Computational science is crucial for delivering reliable weather and climate predictions.
However, despite decades of high-performance computing experience, there is serious …

[HTML][HTML] Physics–dynamics coupling in weather, climate, and Earth system models: Challenges and recent progress

M Gross, H Wan, PJ Rasch, PM Caldwell… - Monthly Weather …, 2018 - journals.ametsoc.org
Physics–Dynamics Coupling in Weather, Climate, and Earth System Models: Challenges and
Recent Progress in: Monthly Weather Review Volume 146 Issue 11 (2018) Jump to Content …

Ultra-chaos of a mobile robot: A higher disorder than normal-chaos

Y Yang, S Qin, S Liao - Chaos, Solitons & Fractals, 2023 - Elsevier
The trajectory of a chaotic dynamical system is sensitive to the initial condition, while its
statistics normally do not have sensitive dependence on small disturbances. Such a kind of …

Large-scale influence of numerical noises as artificial stochastic disturbances on a sustained turbulence

S Qin, S Liao - Journal of Fluid Mechanics, 2022 - cambridge.org
We investigate the large-scale influence of numerical noises as tiny artificial stochastic
disturbances on a sustained turbulence. Using two-dimensional (2-D) turbulent Rayleigh …

The RAW filter: An improvement to the Robert–Asselin filter in semi-implicit integrations

PD Williams - Monthly Weather Review, 2011 - journals.ametsoc.org
Errors caused by discrete time stepping may be an important component of total model error
in contemporary atmospheric and oceanic simulations. To reduce time-stepping errors in …

[HTML][HTML] Three-body problem—From Newton to supercomputer plus machine learning

S Liao, X Li, Y Yang - New Astronomy, 2022 - Elsevier
The famous three-body problem can be traced back to Newton in 1687, but quite few
families of periodic orbits were found in 300 years thereafter. In this paper, we propose an …

On the analysis of pseudo-orbits of continuous chaotic nonlinear systems simulated using discretization schemes in a digital computer

EG Nepomuceno, EMAM Mendes - Chaos, Solitons & Fractals, 2017 - Elsevier
This paper reports the existence of more than one pseudo-orbit when simulating continuous
nonlinear systems using a digital computer in a set-up different from the ones normally seen …

On the mathematically reliable long-term simulation of chaotic solutions of Lorenz equation in the interval [0, 10000]

SJ Liao, PF Wang - Science China Physics, Mechanics and Astronomy, 2014 - Springer
Abstract Using 1200 CPUs of the National Supercomputer TH-A1 and a parallel integral
algorithm based on the 3500th-order Taylor expansion and the 4180-digit multiple precision …

[HTML][HTML] Stochastic nature of physical parameterizations in ensemble prediction: A stochastic convection approach

J Teixeira, CA Reynolds - Monthly Weather Review, 2008 - journals.ametsoc.org
Stochastic Nature of Physical Parameterizations in Ensemble Prediction: A Stochastic
Convection Approach in: Monthly Weather Review Volume 136 Issue 2 (2008) Jump to …

Hidden strange nonchaotic attractors

MF Danca, N Kuznetsov - Mathematics, 2021 - mdpi.com
In this paper, it is found numerically that the previously found hidden chaotic attractors of the
Rabinovich–Fabrikant system actually present the characteristics of strange nonchaotic …