A factor of safety method for quantitative estimates of grid-spacing and time-step uncertainties for solution verification is developed. It removes the two deficiencies of the grid convergence index and correction factor methods, namely, unreasonably small uncertainty when the estimated order of accuracy using the Richardson extrapolation method is greater than the theoretical order of accuracy...

The present paper focuses on problem of mixed convection fluid flow and heat transfer of Al2O3-water nanofluid with temperature and nanoparticles concentration dependent thermal conductivity and effective viscosity inside Lid-driven cavity having a hot rectangular obstacle. The governing equations are discretized using the finite volume method while the SIMPLER algorithm is employed to couple v...

We have developed an image restoration technique based on the Richardson-Lucy algorithm optimized for GLAST-LAT image analysis. Our algorithm is original since it utilizes the PSF (point spread function) that is calculated for each event. This is critical for EGRET and GLAST-LAT image analysis since the PSF depends on the energy and angle of incident gamma-rays and varies by more than one order...

Parabolic subalgebras of semi-simple Lie algebras decompose as p = m⊕ n where m is a Levi factor and n the corresponding nilradical. By Richardsons theorem [R], there exists an open orbit under the action of the adjoint group P on the nilradical. The elements of this dense orbits are known as Richardson elements. In this paper we describe a normal form for Richardson elements in the classical c...

We use shifted K-theoretic jeu de taquin to show that the weak K-Knuth equivalence relation introduced in [3] is compatible with the shifted Hecke insertion algorithm introduced in [9]. This allows us to define a K-theoretic analogue of the shifted Poirier-Reutenauer Hopf bialgebra developed by [6]. From this, we derive a new symmetric function that corresponds to K-theory of OG(n, 2n+ 1) and p...

We address the problem,‘Is a local tree structure sufficient for the local optimality of message passing algorithm in low density parity check codes?’.It is shown that the answer is negative. Using this observation, we pinpoint a flaw in the proof of Theorem 1 in the paper ‘The Capacity of Low-Density ParityCheck Codes Under Message-Passing Decoding’ by Thomas J. Richardson and Rüdiger L. Urban...

The application of the FMI technology gains ground in building simulation. As far as specialized tools support the FMI simulator coupling becomes an important option to simulate complex building models. Cosimulation needs a master algorithm which controls the communication time steps as well as the signal exchange between FMUs. Often a constant communication step size is applied chosen by the u...

A new frequency-domain electromagnetic algorithm is developed for simulating curved interfaces between anisotropic dielectrics embedded in a Yee mesh with second-order error in resonant frequencies. The algorithm is systematically derived using the finite integration formulation of Maxwell’s equations on the Yee mesh. Second-order convergence of the error in resonant frequencies is achieved by ...

In the present paper, we give approximate values of π deduced from the areas of inscribed and circumscribed quadratic and cubic circular splines. Similar results on circular splines of higher degrees and higher approximation orders can be obtained in the same way. We compare these values to those obtained by computing the perimeters of those circular splines. We observe that the former are much...