We show that the Littlewood-Richardson coefficients are values at 1 of certain parabolic Kazhdan-Lusztig polynomials for affine symmetric groups. These q-analogues of Littlewood-Richardson multiplicities coincide with those previously introduced in [21] in terms of ribbon tableaux.

In this article, entropy generation on viscous nanofluid through a horizontal Riga plate has been examined. The present flow problem consists of continuity, linear momentum, thermal energy, and nanoparticle concentration equation which are simplified with the help of Oberbeck-Boussinesq approximation. The resulting highly nonlinear coupled partial differential equations are solved numerically b...

Let A(y) ∼ A+ ∑∞ k=1 αky σk as y → 0+, where y is a discrete or continuous variable. Assume that σk are known numbers that may be complex in general and that A(y) is known for y ∈ (0, b] for some b > 0. The aim is to find or approximate A, the limit or antilimit of A(y) as y → 0+. One very effective way of approximating A is by the Richardson extrapolation process that is defined via the linear...

This paper presents a criterion for stopping non-linear iterative algorithms, specifically the Richardson-Lucy algorithm that is widely used to restore images from the Hubble Space Telescope. The criterion is based on generalized cross-validation and is also computed iteratively. We will present examples displaying the power of the stopping rule, and will discuss the abilities and shortcomings ...