Sentence examples for involving linear and from inspiring English sources

This chapter provides a review of methods of parameter sensitivity analysis and considers applications involving linear and nonlinear lumped parameter models.

The value of this error estimate is demonstrated using two example problems in the context of UQ, involving linear and non-linear partial differential equations.

The coupled magnetic mechanical electric effect involving linear and nonlinear coupling interactions in the ME laminated composites is numerically simulated using this nonlinear model.

Motivated by this test bench set-up and the aim to implement fast pressure changes in the tank, three distributed-parameter models of different complexity and physical accuracy are presented, involving linear and quasi-linear hyperbolic partial differential equations.

Research into the structuring by ultrashort laser pulses has seen immense growth over the past decade due to its unique material processing features involving linear and nonlinear photophysical and photochemical mechanisms.

The numerical simulations predict that several pathways involving linear and polycyclic silicon hydride molecules result in formation of particle "nuclei," which subsequently grow by heterogeneous reactions on the particle surfaces.

The primary duties will involve linear and non-linear analyses, writing code, calibrating single neuron models, and generating predictions that lead to additional experiments.

For this purpose three sample problems have been selected which cover a wide range of cases of interest in the engineering practice and involve linear and nonlinear systems with uncertainties in the material properties and/or the loading conditions.

We set <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0018887.e223.PNG" class= inline-graphic"/> since approach force curves involve linear and convex regions which can be locally approximated by affine and quadratic polynomials.

The statistical analysis involved linear and logistic regression.

The analysis of the secondary outcomes will involve linear and non-linear mixed models for continuous and categorical responses where appropriate.