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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.
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To circumvent this problem we take recourse to a systematic approximation method, the system-size expansion of van Kampen [ 21].
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].
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, through some approximations, either the systematic or random error can be controlled to a small value.
We present a framework for the systematic study of parametric variation in planar mechanical parts and for efficiently computing approximations of their tolerance envelopes.
The approximations are illustrated as Lemmas 1 and 2. If the sensor nodes which join the estimation process are close to the event, the systematic error will not relate to the number of sensor nodes and can be ignored.
The procedure ensures the convergence of the approximation, preserves the basic properties and the Lyapunov stability of the solution of the initial problem and reduces the systematic errors.
the systematic blasting.
The systematic sniping technique is terrorizing.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com