Since then, there have been many theorems dealing with mappings satisfying various types of contractive inequalities involving linear and nonlinear expressions.
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.
This chapter provides a review of methods of parameter sensitivity analysis and considers applications involving linear and nonlinear lumped parameter models.
The coupled magnetic mechanical electric effect involving linear and nonlinear coupling interactions in the ME laminated composites is numerically simulated using this nonlinear model.
A model [A = 3.44 + 0.46t − 0.01t 2 − 0.002tc 2 (R 2 = 0.81)] involving linear and power components was developed to simulate the response of nitrogenase activity in green gram roots to the concentration and exposure time of nano-ZnO.
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.
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.
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 cubic response surface of nitrogenase activity as depicted in Fig. 3 was tried to fit in the linear model involving linear and interactive components of t and c (t, c, t 2, c 2, tc, t 3, t 2 c, tc 2 and c 3).
