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Single-domain spectral methods have been largely restricted to tensor product bases on a tensor product grid.
Three local implicitization techniques are proposed and carefully analyzed in order to relax the traditional time step limit of the Finite-Difference Time-Domain (FDTD) method on a nonuniform, staggered, tensor product grid: Newmark, Crank Nicolson (CN) and Alternating-Direction-Implicit (ADI) implicitization.
The ion behavior is governed by the kinetic Vlasov equation with the BGK collisional term in the four-dimensional phase space, and since the finite difference discretization on a tensor product grid is used, this equation becomes the most computationally challenging part of the scheme.
You may wonder what Slack means by calling its product "Grid".
ii) possibilities of spatial adjustment of particular global product grid size (fishnets) and HPs are negatively influenced by size and shape of the HPs.
The product grid was used to record the product name, brand name, manufacturer, pack size, and if applicable, variety.
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To circumvent the curse of dimensionality of full tensor product grids, we use the concept of sparse grids.
Both full and sparse tensor product grids based on Gauss and Clenshaw-Curtis quadrature rules are considered.
This brief video is an introduction to the most recent update to the NASA SEDAC flagship gridded data product, Gridded Population of the World (GPW), which models the global distribution of human population on a continuous surface.
In this paper we present practical stability conditions for the finite-difference time-domain method on nonuniform tensor product grids (Yee grids).
In the pivotal process of calculating the expansion coefficients, RCM evaluates the deterministic solutions directly on full tensor product grids, whereas the Smolyak sparse grids are reconstructed in MRCM to avoid the huge computational cost caused by high dimensions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com