A new analytical theory for multiple scattering of cylindrical acoustic waves by an array of finite impedance semi-cylinders embedded in a smooth acoustically hard surface is derived by extending previous results for plane waves [Linton and Martin, J. Acoust. Soc. Am. 117 (6) 3413 – 3423 (2005)]. Although the computational demands of the new theory increase as the number of the semi-cylinders i...

Unsteady oscillatory flow of generalized Burgers’ fluid in a circular channel tube in the porous medium is investigated under the influence of time-dependent trapezoidal pressure gradient given by an infinite Fourier series. An exact analytical expression for the solution for the fluid velocity and the shear stress are recovered by using the similarity arguments together with the integral trans...

Analyses of dynamic responses are significantly important for the design, maintenance and rehabilitation of asphalt pavement. In order to evaluate the dynamic responses of asphalt pavement under moving loads, a specific computational program, SAFEM, was developed based on a semi-analytical finite element method. This method is three-dimensional and only requires a two-dimensional FE discretizat...

In this article an evaluation of two semi-analytical techniques is carried out, considering the quality and accuracy of these techniques in reproducing the ground-level concentration values of passive pollutant of the advection-diffusion equation by the Laplace transform technique. The second is a Lagrangian model based on solution of the Langevin equation through the Picard Iterative Method. T...

The absolute visual magnitude as function of the observed color (B-V) , also named Hertzsprung-Russell diagram can be described through five equations; that in presence of calibrated stars means eight constants. The developed framework allows to deduce the remaining physical parameters that are mass , radius and luminosity. This new technique is applied to the first 10 PC , the first 50 pc , th...

One of the main challenges posed by the next space systems generation is the high level of autonomy they will require. Hazard Detection and Avoidance is a key technology in this context. An adaptive guidance algorithm for landing that updates the trajectory to the surface by means of an optimal control problem solving is here presented. A semi-analytical approach is proposed. The trajectory is ...

With the emergence of Semi-structured data format (such as XML), the storage of documents in centralised facilities appeared as a natural adaptation of data warehousing technology. Nowadays, OLAP (On-Line Analytical Processing) systems face growing non-numeric data. This chapter presents a framework for the multidimensional analysis of textual data in an OLAP sense. Document structure, metadata...

The growing use of document stores has resulted in vast amounts of semi-structured data holding precious information, which could be profitably integrated into existing BI systems. Unfortunately, due to their schemaless nature, document stores are hardly accessible via direct OLAP querying. In this paper we propose an interactive, schema-on-read approach for finding multidimensional structures ...

wave prediction is useful for safety and effective management of vessel navigation or construction of offshore structures. since human activity mainly takes place in nearshore regions, accurate wave prediction is necessary there. however, nearshore waves are not easy to predict compared with ocean waves, because not only the waves but also the wind, which is the energy source of the waves, chan...

*Correspondence: [email protected] Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China Abstract As a particular expression of stochastic delay differential equations, stochastic pantograph differential equations have been widely used in nonlinear dynamics, quantum mechanics, and electrodynamics. In this paper, we mainly study the stability of analytical solution...