In this paper we consider a parallel algorithm that detects the maximizer of unimodal function ( ) f x computable at every point on unbounded interval (0, )  . The algorithm consists of two modes: scanning and detecting. Search diagrams are introduced as a way to describe parallel searching algorithms on unbounded intervals. Dynamic programming equations, combined with a series of liner progra...

Wave propagation in unbounded layered media with a new formulation of Axisymmetric Scaled Boundary Finite Element Method (AXI-SBFEM) is derived. Dividing the general three-dimensional unbounded domain into a number of independent two-dimensional ones, the problem could be solved by a significant reduction in required storage and computational time. The equations of the corresponding Axisymmetri...

This article investigates the approximation properties of a general family positive linear operators defined on unbounded interval [0,?). We prove uniform convergence theorem and Voronovskayatype for functions with polynomial growth. More precisely, we study weighted i.e basic theorems, quantitative Voronovskaya-asymptotic theorems Gr?ss in spaces. Finally, obtain rate these via suitable modulu...

An overview of interval arithmetical tools and basic techniques is presented that can be used to construct deterministic global optimization algorithms. These tools are applicable to unconstrained and constrained optimization as well as to nonsmooth optimization and to problems over unbounded domains. Since almost all interval based global optimization algorithms use branch-and-bound methods wi...

The use of unbounded tendons is common in prestressed concrete structures and evaluation of the stress increase in unbonded tendons at ultimate flexural strength of such structure has posed a great challenge over the years. Based on the bending experiment for two-span continuous post-tension beams with unbounded tendons and externally applied CFRP sheets, the monitoring of the stress increment ...