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The explicit operator satisfies an energy estimate leading to strict stability.
Temporal, or "strict," stability of approximation to PDEs is much more difficult to achieve than the "classical" Lax stability.
Utilizing the changing supply function, dynamic surface control (DSC) method and Chebyshev's inequality, a strict stability analysis in probability is made.
It is well known that for initial boundary value problems one may need to decrease the order of boundary closures to ensure strict stability (also called time stability) of finite difference schemes.
In this paper, we present a class of finite-difference schemes for hyperbolic initial boundary value problems in one and two space dimensions that possess the property of strict stability.
This condition, obtained from the numerical study of Floquet multipliers of a linear time-varying periodic system, provides a strict stability region in the modified ANF design parameters space.
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By increasing the offered load (i.e., σ) or by imposing stricter stability criteria (i.e., lower α in (29) or lower β in (30)), stability can not be met with low R and thus increasing R is the only option.
Consequently, strict-stability concepts have been defined and criteria for such notions to hold are discussed in [11].
These two sequences, besides providing accurate two-sided bounds on the solution, yield the strict order stability and hence, according to [11], the (Lyapunov) asymptotic stability of the solution itself, yielding as well an explicitly computable estimate of its basin of attractivity.
Revised goals of strict landscape stability and broad biodiversity attributes, based on those of relevant native ecosystem analogues, are proposed to enable the identification of appropriate native and novel ecosystem targets for the modified landscapes.
The anesthetic goal must be to provide strict hemodynamic stability and stable intracranial pressure (ICP) during cesarean section [14, 17].
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