Stable and Accurate Filtering Procedures
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-019-01116-9
Abstract: High frequency errors are always present in numerical simulations since no difference stencil is accurate in the vicinity of the $$\pi $$ π -mode. To remove the defective high wave number information from the solution,… read more here.
Keywords: energy; accurate filtering; filtering procedures; stability ... See more keywords
A stable and accurate relaxation technique using multiple penalty terms in space and time
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DOI: 10.1016/j.dynatmoce.2017.07.003
Abstract: A new method for data relaxation based on weak imposition of external data is introduced. The technique is simple, easy to implement, and the resulting numerical scheme is unconditionally stable. N ... read more here.
Keywords: accurate relaxation; relaxation; relaxation technique; technique using ... See more keywords
Stable and Accurate Orbital-Free Density Functional Theory Powered by Machine Learning.
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DOI: 10.1021/jacs.5c06219
Abstract: Hohenberg and Kohn have proven that the electronic energy and the one-particle electron density can, in principle, be obtained by minimizing an energy functional with respect to the density. While decades of theoretical work have… read more here.
Keywords: stable accurate; accurate orbital; machine learning; density ... See more keywords
Use of Neural Networks for Stable, Accurate and Physically Consistent Parameterization of Subgrid Atmospheric Processes With Good Performance at Reduced Precision
Sign Up to like & getrecommendations! Published in 2020 at "Geophysical Research Letters"
DOI: 10.1029/2020gl091363
Abstract: A promising approach to improve climate‐model simulations is to replace traditional subgrid parameterizations based on simplified physical models by machine learning algorithms that are data‐driven. However, neural networks (NNs) often lead to instabilities and climate… read more here.
Keywords: parameterization; neural networks; stable accurate; networks stable ... See more keywords