Sentence examples for process for nonlinear from inspiring English sources

Recently Liu [21] introduced the concept of three-step iterative process with errors which is the generalization of Ishikawa [13] and Mann [14] iterative process, for nonlinear strongly accretive mappings as follows.

Following the model-building process for nonlinear mixed-effects models proposed by [ 9], we first checked all assumptions regarding the random effects, tested for heteroscedasticity of the within-type error variance and the correlation of the random effects.

Next, we prove weak convergence theorems for Moudafi's iteration process for these nonlinear mappings.

Finally, the method proposed by Lin and Cai (Probabilistic Structural Dynamics, Advanced Theory and Application, McGraw-Hill, New York, 1995) is adopted to examine the stability in probability of the amplitude process for the nonlinear Ito differential equation.

The analysis of the initial and the propagated waves with the nonlinear Fourier transform based on the Korteweg-deVries equation (KdV-NLFT) provides insight into the underlying processes for this nonlinear phenomenon.

It allows to see 3D demonstrations of control processes for various nonlinear systems.

Okeke and Abbas [20] introduced and studied Picard-Krasnoselskii hybrid iterations, which converge faster than Picard, and gave an application to delay differential equations Mann, Krasnoselskii and Ishikawa iterative processes for contractive nonlinear operators.

Let us start with the precise definition of the generalized Krasnosel'skii-Manniteration process for semigroups of nonlinear mappings.

Several types of orthonormal functions for nonlinear process modeling and control are analyzed and compared.

Several neural-net based PID controllers have been proposed for nonlinear process systems.

A new data-based method for nonlinear process modeling is developed in this paper.