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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.
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.
To circumvent this problem we take recourse to a systematic approximation method, the system-size expansion of van Kampen [ 21].
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].
Similar(56)
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).
Nevertheless, it corresponds to a well-defined stochastic integral, known as a path integral in physics (Feynman and Hibbs 1965), which is amenable to systematic numerical approximation.
During the past few years, a great number of results on function approximation, systematic stability analysis, controller and filtering design for T-S fuzzy systems have been reported in the open literature [14 19].
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.
We use an analytical and systematic method, the linear noise approximation of the chemical master equation along with the decoupling of a stoichiometric matrix.
The error is very systematic: to a very good approximation ε∞ is too small by a universal factor of 0.8, for a wide range of semiconductors and insulators [44].
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