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The scheme stability is ensured, and theoretically proved under a convective CFL-like condition, by using a semi-implicit time discretisation algorithm.
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It is well known that, to guarantee the explicit scheme stability, an additional assumption has to be made, usually involving an inverse inequality between V and H (see, e.g., [15]).
The result follows from Proposition 2. Owing to Proposition 4, Theorem 5 on the scheme's stability holds under Assumption 1 instead of Assumption 4. Finally, we state a result on the scheme's convergence.
To enhance the system stability, the protective scheme by including the directional over current relay, under voltage relay and under frequency relay with proper settings has been applied.
Some properties are proved as the order of the scheme and the stability.
The scheme provides economic stability by offering contractual premiums for participants' produce, complementing the government's subsidy-linked payments for environmental farm management.
The numerical examples show that the scheme has superior stability compared to standard schemes, while maintaining accuracy.
The scheme offers excellent stability with full control over the amount and shape of the added artificial dissipation.
The mathematical properties of the scheme, such as stability, accuracy, and the asymptotic preserving, will be analyzed in this paper as well.
The stability of the scheme is discussed, and the stability restriction for the scheme is established as a function of the Mach number.
Here we suggest to apply the subsampling scheme of stability selection to the lasso estimator involved in the RSPCA algorithm to estimate selection probabilities which are then used to identify the truly relevant variables contributing to a PC.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com