The paper presents some approximation methods for the Boltz-mann equation. In the rst part fully implicit discretization techniques for the spatially homogeneous Boltzmann equation are investigated. The implicit equation is solved using an iteration process. It is shown that the iteration converges to the correct solution for the moments of the distribution function as long as the mass conserva...

We denote the set of all fixed points of T by Fix(T); for more details see []. The concept of -convergence in general metric spaces was introduced by Lim []. Kirk [] has proved the existence of fixed point of nonexpansive mappings in CAT() spaces. Kirk and Panyanak [] specialized this concept to CAT() spaces and showed that many Banach space results involving weak convergence have precise...

This paper deals with computational algorithms for obtaining the optimal stationary policy and the minimum cost of a discounted semi-Markov decision process. Van Nunen [23) has proposed a modified policy iteration algorithm with a suboptimality test of MacQueen type, where the modified policy iteration algorithm is policy iteration method with the policy evaluation routine by a finite number of...

We consider a mean value iteration for a family of functions, which corresponds to the Mann iteration with lim n→∞ α n = 0. We prove convergence results for this iteration when applied to strongly pseudocontractive or strongly accretive maps.

In this paper we extend to UCW-hyperbolic spaces the quantitative asymptotic regularity results for alternating Halpern–Mann iteration obtained by Dinis and second author CAT(0) spaces. These are new even uniformly convex normed Furthermore, a particular choice of parameter sequences, compute linear rates in W-hyperbolic quadratic T- U-asymptotic

In this paper, we present a comparative study between the modified variational iteration method (MVIM) and a hybrid of Fourier transform and variational iteration method (FTVIM). The study outlines the efficiencyand convergence of the two methods. The analysis is illustrated by investigating four singular partial differential equations with variable coefficients. The solution of singular partia...