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In this paper, we establish a framework of the splitting method for RT/DAE and provide convergence analysis.
We provide convergence results in both the case where agents play according to Nash and where they play using a myopic update rule.
We provide convergence conditions for the numerical scheme and suggest an implementation using approximate approximations for spatial discretization to efficiently resolve the coupling of temporal and spatial accuracy.
We provide convergence tests for the element pair which confirm that the element is stable since the convergence rate of the numerical solution is quadratic.
These technologies are independent from the physical medium and the lower layers, and aim to provide convergence between multiple home and access networks.
A decade of research in this area has failed to provide convergence of findings; results are mixed and to date, there is limited understanding of the phenomena.
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The complete numerical procedure and details of assigning the numerical parameters are provided; convergence of the numerical method is demonstrated by conducting grid function convergence tests.
The resulting spike-reducing method in combination with the proposed STD ensures an accurate positioning of steady jumps, provides convergence with mesh refinement, which was not possible for previous methods that cannot avoid the spike.
Section 4 provides convergence analysis of the proposed method.
Admittedly, providing convergence proof of the proposed algorithm is very difficult.
Remark 4.4 Theorem 3.1 provides convergence sequence to a common point of fixed points of a Lipschitzian pseudocontractive mapping and zeros of two monotone mappings in Hilbert spaces.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com