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Efficiency of the networks is examined and the asymptotic rate of convergence of the network estimates is established.
Here a unified framework for identifying and quantifying structural errors associated with the RAPID array-based AMOC estimates is established using a high-resolution (eddy resolving at low-mid latitudes, eddy permitting elsewhere) ocean general circulation model, which simulates the ocean state between 1978 and 2010.
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The error estimates are established for two kinds of nonuniform meshes.
Using Rademacher type, maximal estimates are established for k-sublinear operators with values in the space of measurable functions.
Stabilities and optimal error estimates are established in Sections 4 and 5, respectively.
A posteriori error estimates are established for the finite element approximation solutions in Section 3.
Further, optimal error estimates are established for the semi-discrete scheme.
After the (2.9) and (2.73 -type estimates are established, we can apply the successive approximations method like in Sect.
Furthermore their finite element approximation and a priori error estimates were established long ago, for example, see [1] [7], [9].
Jeez, to some extent those estimates were established with a nudge and a wink from Micron executives, among whom Appleton himself should have been included.
For parabolic optimal control problems, a priori error estimates are established in [32 34], a posteriori error estimates of residual type are investigated in [35, 36].
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CEO of Professional Science Editing for Scientists @ prosciediting.com