In this paper, using shearlet frames, we present a numerical  method  for solving  the wave equation. We define a new shearlet system and by the Plancherel theorem, we calculate the shearlet coefficients.

structured abstract Research paper Purpose To enhance security and privacy of e-cash systems that apply revocable anonymity by presenting a stochastic attack, that reveals the hidden ID, and suitable protection means against this kind of attacks. Methodology/Approach The feasibility of a stochastic attack that reveals the ID of user of e-cash schemes with revocable anonymity is shown. To avoid ...

A new intelligent tutoring system is presented for the domain of solving equations. This system is novel, because it is an intelligent equation-solving tutor that combines a cognitive model of the domain with a model of dialog-based tutoring. The tutorial model is based on the observation of an experienced human tutor and captures tutorial strategies specific to the domain of equation-solving. ...

In this work we describe the implementation of a 3D Center-VertexFace/Edge Discrete Duality Finite Volume (CeVeFE DDFV) scheme using only the degrees of freedom (DOF) disposed on a Cartesian grid. These DOF are organised in a three-mesh structure proper to the CeVeFE DDFV setting. Reposing on a diamond structure, the approach presented here greatly simplifies the implementation, also in the cas...

Variational quantum algorithms are one of the most promising methods that can be implemented on noisy intermediate-scale (NISQ) machines to achieve a advantage over classical computers. This article describes use variational algorithm in conjunction with finite difference method for calculation propagation modes an electromagnetic wave hollow metallic waveguide. The two-dimensional (2D) wavegui...

In this paper, with the aim of estimating internal dynamics matrix of a gimbaled Inertial Navigation system (as a discrete Linear system), the discretetime Hamilton-Jacobi-Bellman (HJB) equation for optimal control has been extracted. Heuristic Dynamic Programming algorithm (HDP) for solving equation has been presented and then a neural network approximation for cost function and control input ...

A single neuron is known to generate almost identical spike trains when the same fluctuating input is repeatedly applied. Here, we study the reliability of spike firing in a pulse-coupled network of oscillator neurons receiving fluctuating inputs. We can study the precise responses of the network as synchronization between uncoupled copies of the network by a common noisy input. To study the no...

The long-wavelength properties of a noisy Kuramoto-Sivashinsky (KS) equation in 1 + 1 dimensions are investigated by use of the dynamic renormalization group (RG) and direct numerical simulations. It is shown that the noisy KS equation is in the same universality class as the Kardar-Parisi-Zhang (KPZ) equation in the sense that they have scale invariant solutions with the same scaling exponents...