In this paper, we introduce a novel algorithm, based on the wavelet transform, to measure stock market development. This algorithm is applied to the return series of fourteen worldwide market indices from 1996 to 2005...In this paper, we introduce a novel algorithm, based on the wavelet transform, to measure stock market development. This algorithm is applied to the return series of fourteen worldwide market indices from 1996 to 2005. We find that a comparison of the return series in terms of the quantity of fractional Gaussian noise (fGn), for different values of Hurst exponent (H), facilitates the classification of stock markets according to their degree of development. We also observe that the simple classification of stock markets into “emerging” or “developing” and “mature” or “developed” is no longer sufficient. However, stock markets can be grouped into three categories that we named emerging, intermediate and mature.展开更多
Numerical study of multiphase fluid flows require mathematical methods for distinguishing interface between two fluids.The volume of fluid(VOF)method is one of such method which takes care of fluid shape in a local do...Numerical study of multiphase fluid flows require mathematical methods for distinguishing interface between two fluids.The volume of fluid(VOF)method is one of such method which takes care of fluid shape in a local domain and reconstructs the interface from volume fraction of one fluid.Maintaining sharp interface during reconstruction is a challenging task and geometrical approach of VOF method better suits for incompressible fluids.This paper provides a complete mathematical discussion of extended form of VOF method using a approach known as piecewise linear interface calculation(PLIC).An analytical relation between volume fraction and interface position has been explored with the help of primitive geometrical shapes.The method with this analytical relation has been applied to multiphase fluid flow benchmark problems and found to be in good agreement.展开更多
文摘In this paper, we introduce a novel algorithm, based on the wavelet transform, to measure stock market development. This algorithm is applied to the return series of fourteen worldwide market indices from 1996 to 2005. We find that a comparison of the return series in terms of the quantity of fractional Gaussian noise (fGn), for different values of Hurst exponent (H), facilitates the classification of stock markets according to their degree of development. We also observe that the simple classification of stock markets into “emerging” or “developing” and “mature” or “developed” is no longer sufficient. However, stock markets can be grouped into three categories that we named emerging, intermediate and mature.
基金supported by Faculty of Engineering and Computing,Dublin City University,Ireland through its CONNECT grant.
文摘Numerical study of multiphase fluid flows require mathematical methods for distinguishing interface between two fluids.The volume of fluid(VOF)method is one of such method which takes care of fluid shape in a local domain and reconstructs the interface from volume fraction of one fluid.Maintaining sharp interface during reconstruction is a challenging task and geometrical approach of VOF method better suits for incompressible fluids.This paper provides a complete mathematical discussion of extended form of VOF method using a approach known as piecewise linear interface calculation(PLIC).An analytical relation between volume fraction and interface position has been explored with the help of primitive geometrical shapes.The method with this analytical relation has been applied to multiphase fluid flow benchmark problems and found to be in good agreement.
