We consider the problem of constructing a C1 piecewise quadratic interpolant, Q, to positional and gradient data defined at the vertices of a tessellation of n-simplices in IR. The key to the interpolation scheme is to appropriately subdivide each simplex to ensure that certain necessary geometric constraints are satisfied by the subdivision points. We establish these constraints using the Bern...

On February 14, 2005, the University of Colorado School of Law welcomed then-Federal Communications Commission Chairman Michael Powell to present a keynote address at the Silicon Flatirons Telecommunications Program Symposium, ‘‘The Digital Migration: Rewriting the ‘96 Telecom Act.’’ After being introduced by thenColorado Secretary of Innovation and Technology Leroy Williams, Chairman Powell wa...

The Beale-Powell restart algorithm is highly useful for large-scale unconstrained optimization. In this paper, we use an example to show that the algorithm may fail to converge. The global convergence of a slightly modiied algorithm is proved.

martin powell makes the point that the death of the national health service (nhs) is constantly asserted without criteria. this article suggests that the nhs is many things, which makes criteria unstable. the alignment of interests in the structure of the nhs enables both overheated rhetoric and political strength, and that pluralization of provision might actually undermine that alignment over...

In this paper, Hybridization of Cuckoo Search algorithm with Powell Search (HCSPS) is used to solve optimal reactive power problem. Cuckoo search (CS) has been recently projected as a population-based optimization algorithm and it is has so far been efficaciously applied in a variety of fields. The inertia weight of Levy flights is presented to balance the capability of global and local search....

Cuckoo search (CS) has been recently proposed as a population-based optimization algorithm and it is has so far been successfully applied in a variety of fields. An efficient hybrid cuckoo search algorithm (HCSA) based on Powell direct search method is proposed for solving constrained engineering design optimization problems. The inertia weight of Levy flights is introduced to balance the abili...

This paper presents the use of Powell-Sabin splines in the context of isogeometric analysis for the numerical solution of advectiondiffusion-reaction equations. Powell-Sabin splines are piecewise quadratic C functions defined on a given triangulation with a particular macro-structure. We discuss the Galerkin discretization based on a normalized Powell-Sabin B-spline basis. We focus on the accur...