Sentence examples similar to methods with time dependent from inspiring English sources

A complete list of all results appears in Table 1 for the stochastic methods when dynamic requests are present, Table 2 for the stochastic methods without any dynamic requests, and Table 3 for the deterministic methods with time-independent travel speeds (all relative to the results obtained by the deterministic methods with time-dependent travel speeds).

The method is outlined for one-dimensional transient wave propagation in an elastic rod with time dependent Young's modulus.

A special finite element method with time-dependent shape and Hamilton's principle is employed to derive the governing equation, which has time-varying coefficients.

Results with time dependent and independent noise data are given.

The finite element method (FEM) with time-dependent length and Hamilton's principle are utilized to derive the governing equation.

Spatial dependence is suppressed using Galerkin's method with the time dependent pinned-pinned overhanging beam modes.

However, in this publication, we are only concerned with constructing a predictive method for time dependent electric charge distribution (including surface charge) in heterogeneous materials at the fundamental level, and the validation of such a method (Liu 2012; Liu 2011a; Liu & Reifsnider 2013; Reifsnider et al. 2013; Baker et al. 2014; Liu 2011b; Raihan et al. 2014).

The Galerkin method is used with time-dependent basis functions to determine the approximate solutions.

The methods of stratification or modelling with time-dependent covariates suggested in the PH section may be applied here as well.

Second, although observational study designs preclude causal inference, our use of sophisticated analytic approaches to adjust for confounding and right-censoring improves confidence in the results over standard analytic methods that deal less directly with time-dependent confounding or selection bias (23, 25).

The first method uses a Cox regression model with time-dependent covariates to evaluate the time-to-first event data.