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These averages are calculated by regularized least-squares to obtain a smooth daily variation estimate; see Section 3 for details.
We develop the exact solution of the Brinkman equations for three-dimensional incompressible flow driven by regularized forces.
In the case of a continuous distribution a spectral function is obtained by regularized inverse Laplace transformation of the transient.
Here we set the error floor equal to the assumed noise level, so it is possible to reduce RMS misfit to 1 by regularized or nonregularized inversion.
The image system for a three-dimensional flow generated by regularized forces outside a solid sphere is formulated and implemented as an extension of the method of regularized Stokeslets.
The aim of the present paper is to establish a new method which is based, conversely, on the elimination of the unknown functions Ψ+ and Ψ− first to obtain a linear integral equation of the first kind for the entire function P, which can be solved rather easily by regularized numerical methods.
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In the regularizing procedures, several authors have studied finite-dimensional approximations obtained by projecting regularized approximations into finite-dimensional subspaces.
The particles representing the sheet are advected by a regularized Biot Savart integral in which the exact singular kernel is replaced by the Rosenhead Moore kernel.
In this case, we only consider the maximal solution, which can be obtained by standard regularized approximation methods.
This paper proposes an algorithm for pruning ELM networks by using regularized regression methods, thus obtaining a suitable number of the hidden nodes in the network architecture.
For the analysis of patterns and variations in the penetration resistance, we propose a spatial interpolation by the regularized spline with tension (RS T method.
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