Power law distribution seems to be an important characteristic of web graphs. Several existing web graph models generate power law graphs by adding new vertices and non-uniform edge connectivities to existing graphs. Researchers have conjectured that preferential connectivity and incremental growth are both required for the power law distribution. In this paper, we propose a different web graph...

This paper presents multi-element Stochastic Reduced Basis Methods (ME-SRBMs) for solving linear stochastic partial differential equations. In ME-SRBMs, the domain of definition of the random inputs is decomposed into smaller subdomains or random elements. Stochastic Reduced Basis Methods (SRBMs) are employed in each random element to evaluate the response statistics. These elemental statistics...

The accuracy, stability and consistency of a new cell-vertex hybrid nite element/volume scheme is investigated in the numerical solution of a model viscoelastic sink ow. Here, the interest is to explore the consequences of utilising conventional cell-vertex methodology for an OldroydB model and to demonstrate resulting drawbacks in the presence of complex source terms. Alternative strategies wo...

Previous studies have noted that biological quadrupeds adjust their gaits when encountering drag in their locomotion. This paper investigates the hypothesis that these gait adjustments allow the legs to operate at an optimal working length when generating thrust. A 5-DoF dynamic model of a quadruped having a rigid trunk and massless legs is formulated. This model reflects the dimensions and ine...

The concept of reneging has been exploited to a great extent in recent past by the queuing modelers. Reneging leads to loss of potential customers. Keeping into mind this negative impact of reneging, a new queuing model has been developed which deals with retention of reneged customers. In this paper, we have developed an M/M/1/N queuing model which deals with retention of reneged customers. Th...

Spherical diffusion flames supported on a porous sphere were studied numerically and experimentally. Experiments were performed in 2.2 s and 5.2 s microgravity facilities. Numerical results were obtained from a Chemkin-based program. The program simulates flow from a porous sphere into a quiescent environment, yields both steady-state and transient results, and accounts for optically thick gas-...

We investigate new approaches to quantifying the white matter connectivity in the brain using Diffusion Tensor Magnetic Resonance Imaging data. Our first approach finds a steady-state concentration/heat distribution using the three-dimensional tensor field as diffusion/conductivity tensors. Our second approach casts the problem in a Riemannian framework, deriving from each tensor a local warpin...

Ordering processes in nonequilibrium statistical systems have features which are not shared by their equilibrium counterparts. One such example arises in a system of hard-core particles sliding under gravity on an independently fluctuating surface. It was found that the fluctuations of the surface lead to clustering of initially randomly-arranged particles, over a length scale which grows indef...

A local smoothing operator applied in the reverse direction is used to obtain planar shape enhancement and exaggeration. Inversion of a smoothing operator is an inherently unstable operation. Therefore, a stable numerical scheme simulating the inverse smoothing effect is introduced. Enhancement is obtained for short time spans of evolution. Carrying the evolution further yields shape exaggerati...

The purpose of the present study is to carry out cost-benefit analysis of a single-unit system subject to random shocks. The operative unit may be affected by the impact of random shocks with some probabilities. The unit may fail completely due to the reasons other than shocks. There is a single server who visits the system immediately. The maintenance of the unit is carried out by the server i...