On the frontier of the simulation world
When models involve excessive degrees of freedom
DOI:
https://doi.org/10.13052/REMN.17.583-595Keywords:
numerical modeling, multi-dimensional models, separated representations, model reduction, nano-physics, statistical mechanicsAbstract
In the last years, we have assisted to an impressive progression in the numerical modeling capabilities as a result of the progression in computer science but also in the numerical analysis. Thus, new scales have been explored, allowing modeling of richer and finer physical models. In this work we focus on some models encountered in the microscopic description of the physics, all of them with a common particularity: they involve an impressive number of degrees of freedom or are defined in highly multidimensional spaces.
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