Tertiary Care Cancer Center Ismini Kourouni, MD; Lauren Richardson, BA; Renee Webb, BS ; Paula Revell, PhD; Janet Eagan, RN, MPH; N. Esther Babady, PhD; Yi-Wei Tang, MD PhD; Mini Kamboj, MD; Medicine, Mount Sinai Roosevelt Hospital Center, New York, NY; Infection Control, Memorial Sloan-Kettering Cancer Center, New York, NY; Texas Children’s Hospital, Houston, TX; Baylor College of Medicine and...

In this paper, a general method to derive asymptotic error expansion formulas for the mixed finite element approximations of the Maxwell eigenvalue problem is established. Abstract lemmas for the error of the eigenvalue approximations are obtained. Based on the asymptotic error expansion formulas, the Richardson extrapolation method is employed to improve the accuracy of the approximations for ...

During numerical time integration, the accuracy of the numerical solution obtained with a given step size often proves unsatisfactory. In this case one usually reduces the step size and repeats the computation, while the results obtained for the coarser grid are not used. However, we can also combine the two solutions and obtain a better result. This idea is based on the Richardson extrapolatio...

New expressions for one-sided finite-difference approximations are proposed. In these approximations the odd-order error terms are eliminated while the even-order terms are left to be taken care of by Richardson extrapolation. The effective local truncation error is shown to be less than for higher-order one-sided finite-difference approximations but the solutions for a test problem are shown t...

1. Introduction. One of the objections to the use of a one-step method to integrate a system of ordinary differential equations is that an estimate of the accumulated truncation error is difficult to make. If an attempt is made at appraising the truncation error, it is usually confined to an approximate evaluation of the local truncation error. A scheme for estimating the local truncation error...

The Technical Brief by Roache [1] presents ten items of discussion of our factor of safety (FS) method for solution verification [2]. Our responses are listed below item-by-item using the same numbering as Roache. The nomenclature mostly follows our own and not Roache’s such as pRE for the order of accuracy calculated using the Richardson Extrapolation as opposed to the observed order of conver...

A numerical study has been done through an Al2O3–water in a double lid-driven  square  cavity with various  inclination  angles  and discrete heat sources. The top and right moving walls are at low temperature. Half of  the  left and bottom walls are  insulated and  the  temperatures of the other half are kept at high. A large number of simulations for a wide  range  of Richardson  number ...

This paper addresses rescaling behaviors of some classes of global solutions to the zero surface tension Hele-Shaw problem with injection at the origin, {Ω(t)}t≥0. Here Ω(0) is a small perturbation of f(B1(0), 0) if f(ξ, t) is a global strong polynomial solution to the Polubarinova-Galin equation with injection at the origin and we prove the solution Ω(t) is global as well. We rescale the domai...

This study investigates the sensitivity of the dynamics of the equatorial ocean to the parameterization of vertical mixing and focuses on the circulation in the meridionalvertical plane driven by easterly winds: the Yoshida jet. A new high resolution, numerical model of a zonally independent, equatorial channel helps explore this question and includes three parameterizations, all of which incre...