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A systematic approximation scheme was built, allowing to model the initial DFN by a set of N unknowns located at each identified intersection between fractures.
A systematic approximation of these equations can be achieved using the system size expansion which yields the REs and the LNA in the limit of large volumes [ 22].
To circumvent this problem we take recourse to a systematic approximation method, the system-size expansion of van Kampen [ 21].
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Two sparsification strategies are developed for the systematic approximation of a dense Jacobian aimed at the practical implementation of linear system preconditioning through partial Jacobians.
This comes, however, at the price of introducing systematic approximations to the posterior distribution of GO term activity, P Gk| D1,k,.., D γ k, k, δ P, δΠ).
However, even the most recent discretization-based approximations of the transition densities induce a systematic bias in the approximation of the transition densities, see for instance [8].
This paper contains a systematic study of numerical approximations for solving the exact kernel form of Pocklington's integro-differential equation for the current induced on a thin wire by an incident time-harmonic electromagnetic field.
In this paper, a systematic approach to creating zoning approximations is introduced.
A systematic approach for deriving closure approximations was proposed by Monavari Monavarii et al. 2016).
A systematic approach is presented to approximate the Pareto optimal front (POF) by a response surface approximation.
We seek a local reduced-order model for this kind of multiscale transport problems and thus, develop a systematic approach for finding reduced-order approximations of the solution.
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