Sentence examples for considered exponential from inspiring English sources

Several approximation schemes for integrating the Riccati equation in cylindrical coordinates are considered: exponential, Magnus, Taylor series, Lagrange polynomials, with numerical examples indicating that the exponential scheme performs best.

Wang et al. in [5] considered exponential stability for delayed recurrent neural networks with Markovian jumping parameters.

However, the transition distributions for degradation, repair and inspection are considered exponential, which is not always applicable.

In [8], Mao considered exponential stability in the mean square sense for the strong solutions of linear stochastic differential equations.

Messaoudi and Tatar [15] and Liu [16] considered exponential and polynomial decay for a quasilinear equation and a system of two coupled quasilinear viscoelastic equations under condition (1.8) by choosing a suitable perturbed energy, respectively.

For example, in the case of continuous time, that is, for linear differential equations v ′ = [ A ( t ) + B ( t, λ ) ] v, Johnson and Sell [14] considered exponential dichotomies in ℝ (in a finite dimensional space), and proved that for C k perturbations, if the perturbation and its derivatives in λ are bounded and equicontinuous in the parameter, then the projections are of class C k in λ.

This paper considers exponential and rational regression models that are nonlinear in some parameters.

TMRCAs and the times of individual population splits were calculated using the Bayesian approach implemented in BATWING, considering exponential growth from a constant-size population model63.

We also consider exponential time differencing (ETD) methods, and point out connections with a particular application of the commutator-free Lie group methods.

The load network of the class-E amplifier is designed by considering exponential decay of the drain current during fall time and finite quality factor of the resonant circuit to incorporate the nonidealities of the active device and passive components.

We consider exponential time integration schemes for fast numerical pricing of European, American, barrier and butterfly options when the stock price follows a dynamics described by a jump-diffusion process.