During the past few years, the idea of using meshless methods for numerical solution of partial differential equations (PDEs) has received much attention throughout the scientific community, and remarkable progress has been achieved on meshless methods. The meshless local Petrov–Galerkin (MLPG) method is one of the ‘‘truly meshless’’ methods since it does not require any background integration ...

this paper investigates the connection between market valuation anda type of the merger (stock, cash) using real options setup. i solveexplicitly for the timing and terms of cash mergers in two deferent settingsto demonstrate that cash mergers generally occur at low marketvaluations, whereas stock mergers that may be observed at both low andhigh valuations; the result holds with some dierences...

It is necessary to take into account the micro discretization of natural rock when studying its macroscopic failure behavior. This requirement has resulted in renewed and increased interest in the discrete or framework/lattice numerical modeling techniques. However, to fully construct a numerical model for practical applications using a discrete numerical model is computationally difficult with...

the main purpose of this article is to increase the efficiency of the least squares method in numerical solution of ill-posed functional and physical equations. determining the least squares of a given function in an arbitrary set is often an ill-posed problem. in this article, by defining artificial constraint and using lagrange multipliers method, the attempt is to turn -dimensional least squ...

The method of fundamental solutions (MFS) has been proved to be an accurate and efficient meshless numerical method to solve acoustic eigenproblems. Traditionally, the technique of the singular value decomposition (SVD) is employed to obtain the corresponding contours of acoustical modes after the eigenvalues are solved. However, it is found that the mode shapes are sensitive to the source loca...

recently, in order to increase the efficiency of least squares method in numerical solution of ill-posed problems, the chain least squares method is presented in a recurrent process by babolian et al. despite the fact that the given method has many advantages in terms of accuracy and stability, it does not have any stopping criterion and has high computational cost. in this article, the attempt...