Improving the precision of discrete numerical solutions using the generalized integral transform technique
Sign Up to like & getrecommendations! Published in 2020 at "Journal of the Brazilian Society of Mechanical Sciences and Engineering"
DOI: 10.1007/s40430-020-02346-x
Abstract: Most spatial discretizations applied by finite difference and volume methods to advective/convective terms introduce significant diffusive and dispersive numerical errors, where the former is often required to improve the numerical stability to the resulting scheme.… read more here.
Keywords: numerical solutions; discrete numerical; transform technique; integral transform ... See more keywords
Understanding Estimations of Magnitudes: An fMRI Investigation
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DOI: 10.3390/brainsci12010104
Abstract: The current study examined whether discrete numerical estimation is based on the same cognitive process as estimation of continuous magnitudes such as weight and time. While the verbal estimation of numerical quantities has a contingent… read more here.
Keywords: time; discrete numerical; understanding estimations; gyrus ... See more keywords
Deep Learning Discrete Calculus (DLDC): a family of discrete numerical methods by universal approximation for STEM education to frontier research
Sign Up to like & getrecommendations! Published in 2022 at "Computational Mechanics"
DOI: 10.48550/arxiv.2211.16610
Abstract: The article proposes formulating and codifying a set of applied numerical methods, coined as D eep L earning D iscrete C alculus (DLDC), that uses the knowledge from discrete numerical methods to interpret the deep… read more here.
Keywords: discrete numerical; numerical methods; deep learning; mechanics ... See more keywords