We report a theoretical and experimental investigation of the propagation nonlinear waves passing over submerged rectangular step. A multimodal method allows calculating first- second-order reflected transmitted waves. In particular, at second order, free bound is theoretically presented. detailed analysis convergence problem shows that finite truncation series evanescent necessary to obtain sm...

A domain decomposition approach for the parallelization of the Wigner Monte Carlo method allows the huge memory requirements to be distributed amongst many computational units, thereby making large multidimensional simulations feasible. Two domain decomposition techniques—a uniform slab and uniform block decomposition—are compared and the design and implementation of the block decomposition app...

We studied phase separation kinetics of block copolymer melts while passing them through alternate photo-induced bond breaking (on) and recombination (off) reaction cycles, discussed its effect on evolution morphologies, scaling functions, length.

An air quality study was performed outside a cluster of schools in the East Harlem neighborhood of New York City. PM(2.5) and black carbon concentrations were monitored using real-time equipment with a one-minute averaging interval. Monitoring was performed at 1:45-3:30 PM during school days over the period October 31-November 17, 2006. The designated time period was chosen to capture vehicle e...

The Poisson Problem, ∇ · ∇x = b, is a sparse linear system of equations that arises, for example, in scientific computing. For this project, I describe a parallel Successive Over-Relaxation (SOR) algorithm for solving the Poisson problem and implement it in a C library using Message Passing Interface (MPI). I evaluate the performance of my implementation on a single multicore machine and in a c...

An unsteady two-dimensional numerical investigation was performed on the viscous flow passing through a multi-blade cascade. A Cartesian finite-volume approach was employed and it was linked to Van-Leer's and Roe's flux splitting schemes to evaluate inviscid flux terms. To prevent the oscillatory behavior of numerical results and to increase the accuracy, Monotonic Upstream Scheme for Conservat...

In this paper, we give the existence and the representation of the group inverse for circulant block matrix M = ( A B B A ) (A, B ∈ Kn×n, andA = A, B = B) over skew field . Some relative additive results are also given. Mathematics Subject Classification: 47H09; 47H10