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• W2016207934 abstract "The order (of the discretization error) of a spatial approximation is an important and widely used figure of merit for such approximations. For one-dimensional plane-parallel geometries, it has been shown that most such spatial approximations, as used within the discrete-ordinates directional approximation to monoenergetic particle transport, are instances of the abstract class of closed linear one-cell functional (CLOF) methods. The code LOCFES (Linear One-Cell Functional Experimental Studies) provides for highly automated determination of the order of an arbitrary CLOF method. It does so by taking advantage of the fact that such methods are defined by a relatively small number of functions that depend solely upon the direction of particle streaming, the width of the spatial cell under consideration, and the (total) cross-section within that cell. The computational kernel of LOCFES is a subroutine MONSTR (MONoenergetic Systems for Transport equation Resolution) that executes discrete source iteration, for a fixed grid and according to input specification (e.g., termination after either a specified number of iterative sweeps, or after convergence to within a specified criterion at specified monitor points.) The particular CLOF method is defined by a user-supplied subroutine that is called (only) by MONSTR, and MONSTR also returns information about the rate of convergence of the source iteration. Estimates of the order are extracted from the results provided by an automatically executed sequence of grid refinements, beginning with some input initial grid, and discrete source iterations (i.e. MONSTR calls)." @default.
• W2016207934 created "2016-06-24" @default.
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• W2016207934 date "1993-01-01" @default.
• W2016207934 modified "2023-10-16" @default.
• W2016207934 title "LOCFES — a program for automatic determination of the order of spatial approximations in one-dimensional particle transport" @default.
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• W2016207934 doi "https://doi.org/10.1016/0010-4655(93)90109-p" @default.
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