Sentence examples for approximation was investigated from inspiring English sources

The Gaussian approximation was investigated in [15] for the Rician fading channel in the asymptotic regime of large number of transmitting and receiving antennas.

The Bessel collocation approximation was investigated in [26] to reduce the parabolic convection-diffusion equation to a system of algebraic equations.

In this paper, a quadratic optimal control problem governed by a linear hyperbolic integro-differential equation and its finite element approximation are investigated for the first time.

The effects of the positions of the inner cores on the second-order asymptotic approximation are investigated.

Next, the high-frequency approximation is investigated by a WKB-like procedure which involves a complex valued frequency-dependent shear modulus.

In this paper, a quadratic optimal control problem governed by a linear quasi-parabolic integro-differential equation and its adaptive finite element approximation are investigated for the first time.

The validity and limitations of such approximation are investigated for a rigid-block on rigid-base, utilizing rigorous analytical solutions from the bibliography; and for the frame structure on nonlinear soil, by conducting comprehensive nonlinear dynamic time history analyses.

Well-posedness of inverse problem (1.1), (1.2), (1.3) and its approximations were investigated in [18].

Monotonically convergent upper and lower solutions of the problems and their quasilinear approximations are investigated.

The role of a commonly used transformation, namely T = Ωt, on the higher order approximations is investigated.

The governing equation for voltage drop due to activation losses, the Butler Volmer equation, is discussed and the derivation and applicability of several approximations is investigated.