Shear flow instabilities can profoundly affect the diffusion of momentum in jets, stars, and disks. The Richardson criterion gives a sufficient condition for instability of a shear flow in a stratified medium. The velocity gradient V ′ can only destabilize a stably stratified medium with squared Brunt–Väisälä frequency N 2 if V ′2/4 > N2. We find this is no longer true when the medium is a magn...

Ligands of the aroylhydrazone class have shown much promise as potential chelators for treatment of iron overload disease and perhaps cancer (Johnson et al., 1982; Baker et al., 1992; Richardson et al., 1995; Richardson & Milnes, 1997). Our previous investigations have demonstrated that 2-hydroxy-1naphthaldehyde isonicotinoyl hydrazone, (II), and several other aroylhydrazone chelators possess a...

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...

This paper presents results of a numerical study of mixed convection and entropy generation of Cu–water nanofluid in a square ventilating cavity at different inclination angles. Except a piece of bottom wall with a uniform heat flux, all of the cavity walls are insulated. The inlet port is placed at the bottom of the left wall and the outlet port is positioned at the top of the right wall....

We present a simple proof of the Littlewood-Richardson rule using a sign-reversing involution, and show that a similar involution provides a com-binatorial proof of the SXP algorithm of Chen, Garsia, and Remmel 2] which computes the Schur function expansion of the plethysm of a Schur function and a power sum symmetric function. The methods of this paper have also been applied to prove combinato...

We construct and study a scalable overlapping Additive Schwarz-Richardson (ASR) algorithm for monotone nonlinear parabolic problems discretized implicitly in time. At each time step, the Additive Schwarz preconditioner is built using the linear part of the nonlinear operator, partitioning the domain of the problem into overlapping subdomains, solving local problems on these subdomains and solvi...

The stability of a large class of nonlinear sequence transformations is analyzed. of the convergence behavior of the J transformation. Similar to recent results of Sidi, it is proved that the pJ transformations , the Weniger S transformation, the Levin transformation and a special case of the Generalized Richardson Extrapolation Process of Sidi are S-stable. An eecient algorithm for the calcula...