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Problem of high dimensionality naturally arises under these statements of the problems of modelling and control, to solve which the multilevel parallel computing technologies based on the hierarchical decomposition combined with the multigrid versions of the methods of splitting by physical processes, spatial and temporal coordinates are offered.
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However, these simulation models have been separately performed because the fundamental assumption of each model is different and restricts the physical processes in each spatial and temporal scales.
The diversity of aquatic habitats in streams is linked to physical processes that act at various spatial and temporal scales.
It is frequently useful to represent physical processes by space-time diagrams in which time runs vertically and the spatial coordinates run horizontally.
The Debye-scale charge separation is not solved correctly in the simulation run with a low spatial resolution, while all the physical processes in collisionless plasma are included in the simulation run with a high spatial resolution.
Their algorithms are fully motivated by the physical process of shadow formation.
Most chemical and physical processes are accompanied by heat effects.
By applying these new inverse methods to a number of ground-based geomagnetic observations, it was found that two basic elements in spatial patterns can be viewed as two physical processes for solar wind-magnetosphere energy coupling.
The experimental manipulation of spatial boundaries using microfabrication methods has revealed the underlying physical processes directing cytoskeleton self-organization.
While they have attained astounding spatial resolutions, however, they have been less precise in detailing physical processes that occur so quickly that their duration is measured in nanoseconds.
The physical processes underlying these applications are complex and cover a very wide range of spatial and temporal scales.
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CEO of Professional Science Editing for Scientists @ prosciediting.com