In this paper we present a stable hybrid scheme for viscous problems. The hybrid method combines the unstructured finite volume method with high-order finite difference methods in complex geometries. The coupling procedure between the two numerical methods is based on energy estimates and stable interface conditions are constructed. Numerical calculations show that the hybrid method is efficien...

Most common implementations of the NEGF approach are done using the Finite-Difference Method (FDM) on uniform grids. This discretization scheme allows one to study many types of planar devices, such as MOSFETs, superlattices and planar heterojunctions. Within this paradigm, carrier scattering can be included through the selfenergy approach, almost always under the assumption of local interactio...

Mixed convection heat transfer in two-dimensional liddriven rectangular cavity filled with air (Pr =0.71) is studied numerically. A hybrid scheme with multiple relaxation time Lattice Boltzmann Method (MRT-LBM) is used to obtain the velocity field while the temperature field is deduced from energy balance equation by using the Finite Difference Method (FDM). The main objective of this work is t...

In this paper, we apply the meshfree radial basis function (RBF) interpolation to numerically approximate zero-coupon bond prices and survival probabilities in order to price credit default swap (CDS) contracts. We assume that the interest rate follows a Cox-Ingersoll-Ross process while the default intensity is described by the Exponential-Vasicek model. Several numerical experiments are conduc...

Moving objects detection is conducted in the sequential image of moving objects, which is favorable to detect, identify and analyze the moving objects. It has been applied in video surveillance, virtual reality, and advanced user interfaces. Based on existing research on the Frame Difference Method (FDM) and the Background Subtraction Method (BSM), considering the short time interval between ad...

In this article, we consider a Cauchy problem of heat equation, that is, determining the unknown temperature and heat flux at an inaccessible boundary from scattered temperature measurements on an accessible boundary or in some interior locations. This method is similar to the boundary control approach proposed by Leevan Ling and Tomoya Takeuchi in [1] where the authors considered a Cauchy prob...

A hybrid method to model the shear wave (SH) scattering from 2D fractures embedded in a heterogeneous medium is developed by coupling Boundary Element Method (BEM) and Finite Different Method (FDM) in the frequency domain. FDM is used to propagate an SH wave from a source through heterogeneities to localized homogeneous domains where fractures are embedded within artificial boundaries. Accordin...

in this article, finite difference method (fdm) is used to study the size-dependent free vibration characteristics of rectangular nanoplates considering the surface stress effects. to include the surface effects in the equations, gurtin-murdoch continuum elasticity approach has been employed. the effects of surface properties including the surface elasticity, surface residual stress and surface...

among different discretization approaches, finite difference method (fdm) is widely used for acoustic and elastic full-wave form modeling. an inevitable deficit of the technique, however, is its sever requirement to computational resources. a promising solution is parallelization, where the problem is broken into several segments, and the calculations are distributed over different processors. ...

        Sensitivity analysis of structures considering their nonlinear behavior has recently been an important process in optimal design of them based on new design concepts such as Performance-Based Design (PBD). The main objective of this research is to develop an efficient and applicable method for nonlinear sensitivity analysis of Reinforcement Concrete Moment Resisting Frames (RCMRF) accou...