In this study, based on the optimal free derivative without memory methods proposed by Cordero et al. [A. Cordero, J.L. Hueso, E. Martinez, J.R. Torregrosa, Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation, Mathematical and Computer Modeling. 57 (2013) 1950-1956], we develop two new iterative with memory methods for solving a nonline...

We describe and analyze a class of positive recurrent reflected Brownian motions (RBMs) in R+d for which local statistics converge to equilibrium at rate independent the dimension d. Under suitable assumptions on reflection matrix, drift diffusivity coefficients, dimension-independent stretched exponential convergence rates are obtained by estimating contractions an underlying weighted distance...