The discrete ordinate method is a numerical technique used for obtaining approximate solutions to the transport equation. The approximate solutions are shown to converge pointwise to the exact ...

A singularly perturbed quasi-linear two-point boundary value problem with an exponential boundary layer is considered. The problem is discretized using a nonstandard upwinded first-order difference ...

The problem of convergence of a doubly indexed sequence presents some interesting phenomena related to the order of taking iterated limits as well as subsequences where one index is a function of the ...

Abstract: We consider algorithms for prediction, compression and entropy estimation in a universal setup. In each case, we estimate some function of an unknown distribution p over the set of natural ...

Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, KSA. Department of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar. A metric space ...

Read article at publisher's site: https://doi.org/10.22541/au.161778177.74902410/v1 Read article for free, from open access legal sources, via Unpaywall: https://www ...

The purpose of this Notebook is to explain pointwise convergence of the Taylor series. This idea is discussed from the perspective of convergence of the polynomial and convergence of the remainder.

A Lavrentiev prox-regularization method for optimal control problems with point-wise state constraints is introduced where both the objective function and the constraints are regularized. The ...

Abstract: In this work, we first provide iteration-complexity bounds (pointwise and ergodic) for the inexact Krasnosel'skî-Mann iteration built from nonexpansive operators. Moreover, under an ...

Optimization is a widely used tool in process systems engineering, but often the optimization problems have multiple suboptimal local minima. Deterministic global optimization algorithms can solve ...