Your English writing platform
Discover LudwigExact(2)
The special two-step form is introduced with the aim of getting a non-zero imaginary stability boundary which is zero for the one-step method.
Having a non-zero imaginary stability boundary allows, for example, the integration of pure advection equations space-discretized with centered schemes, the integration of damped or viscous wave equations, the integration of coupled sound and heat flow equations, etc.
Similar(58)
Hence if all the other eigenvalues of (mathcal{L}) lie on one side of the imaginary axis then stability is solely determined by the sign of (epsilon H'(0)).
Simple: It creates imaginary threats to world stability and then peddles weapons to defend against aforementioned boogeyman threats.
In that way, by calculating the imaginary part of the stability eigenvalue of the steady state with maximum real part, we can identify the parameter regions in which the pathway exhibits a transient oscillatory response to IFN-beta.
Its high binding energy, absence of imaginary phonon dispersions, and outstanding thermal stability suggest that it is possible to synthesize ph-BO monolayer experimentally.
Optimal methods with respect to large stability intervals on the imaginary axis and with respect to the eigenvalue spectra of the underlying pseudospectral discretizations are developed.
Additionally, in the latter part of our work, different closed-loop dynamic simulations are also conducted to show how stability index and the imaginary part of eigenvalues affect the dynamic behaviors of the closed-loop system.
The auxiliary output is used for closed-loop control with positive feedback invoking the internal stability condition of negative-imaginary theory.
For α γ< σ, the fixed point is a center with neutral stability as all eigenvalues are purely imaginary.
The stability of the feedback interconnection of negative imaginary systems has been well established in the literature.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com