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==Areas of research==
In physics and chemistry, multiscale modeling is aimed to calculation of material properties or system behavior on one level using information or models from different levels. On each level particular approaches are used for description of a system. The following levels are usually distinguished: level of [[quantum mechanical model]]s (information about electrons is included), level of [[molecular dynamics]] models (information about individual atoms is included), [[Coarse-grained modeling|coarse-grained models]] (information about atoms and/or groups of atoms is included), mesoscale or nano level (information about large groups of atoms and/or molecule positions is included), level of continuum models, level of device models. Each level addresses a phenomenon over a specific window of length and time. Multiscale modeling is particularly important in [[integrated computational materials engineering]] since it allows the prediction of material properties or system behavior based on knowledge of the process-structure-property relationships.{{citation needed}}
In [[operations research]], multiscale modeling addresses challenges for decision makers which come from multiscale phenomena across organizational, temporal and spatial scales. This theory fuses [[decision theory]] and multiscale mathematics and is referred to as [[multiscale decision-making]]. Multiscale decision-making draws upon the analogies between physical systems and complex man-made systems.{{citation needed}}
In meteorology, multiscale modeling is the modeling of interaction between weather systems of different spatial and temporal scales that produces the weather that we experience. The most challenging task is to model the way through which the weather systems interact as models cannot see beyond the limit of the model grid size. In other words, to run an atmospheric model that is having a grid size (very small ~ {{val|500|u=m}}) which can see each possible cloud structure for the whole globe is computationally very expensive. On the other hand, a computationally feasible [[Global climate model]] (GCM), with grid size ~ {{val|100|u=km}}, cannot see the smaller cloud systems. So we need to come to a balance point so that the model becomes computationally feasible and at the same time we do not lose much information, with the help of making some rational guesses, a process called Parametrization.{{citation needed}}
Besides the many specific applications, one area of research is methods for the accurate and efficient solution of multiscale modeling problems. The primary areas of mathematical and algorithmic development include:
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