Sentence examples for multiple scales approach from inspiring English sources

To obtain analytical solution, a second-order multiple scales approach is applied to a complete eigenfunction-based series of nonlinear ordinary-differential equations of cable damped forced motion.

This study illustrates that adopting a multiple scale approach is successful to model plant occurrence over a highly dynamic landscape.

Secondly, we show how former results have been used and integrated into a multiple scale approach involving agronomic and ecological studies in hedgerow network landscapes of western France.

A nonlinearly coupled mathematical model of an electro-magneto-mechanical system is studied via the multiple scale approach in order to investigate its weakly nonlinear dynamics and analytically predict its salient features.

A multiple-scale approach is used at regional and watershed scales and is demonstrated for the Seward Peninsula region, Alaska and the Fish River watershed on Seward Peninsula but may be applied elsewhere.

These simulation methods include the broad areas of quantum mechanics, molecular dynamics and multiple-scale approaches, based on coupling the atomistic and continuum models.

Research on cancer to date has been essentially reductionist, but it can be radically reconceived with the profoundly different ontology of a complex adaptive system that allows dynamic interaction of heterogeneous variables at multiple scales, an approach that, if adopted, could be developed as "archeo-haplomics".

In the present work a novel multiple scales asymptotic homogenization approach is proposed to study the effective properties of hierarchical composites with periodic structure at different length scales.

By reforming the equations for motion of the system concerned and directly applying the method of multiple scales, a new approach is suggested, which yields closed form solutions in the first order approximation to free vibration response.

Because ecological complexity varies with scale, observations at multiple scales and multiscale approaches to data analysis are required.

A multiple time scale approach is used.