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

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 ...

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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 ...

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 ...

Abstract: In this paper, the convergence of NURBS curves is considered when the weights of a NURBS curve approach infinity. We prove that the limit of the NURBS curve does not exist as the weights ...

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 ...

Topological spaces form the foundational framework for modern analysis and geometry, characterised by a set equipped with a collection of open subsets satisfying specific axioms. This flexible ...

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 ...