This paper gives a probabilistic interpretation of a class of nite diierence schemes often referred to as the-method. In particular, the present paper shows that for some parameter values the-method can been seen as a binomial tree with a random time.

In the previous studies a hypothesis was developed from the results by using trivariate Weibull model that the increase in leptin concentrations during the second half of the menstrual cycle may be related to changes in the steroidal milieu during the pre ovulatory period and the luteal phase. The present study was undertaken to test this hypothesis further by examining the effect of treatment ...

Maize yield prediction in the sub-Saharan region is imperative for mitigation of risks emanating from crop loss due to changes climate. Temperature, rainfall amount, and reference evapotranspiration are major climatic factors affecting maize yield. They not only interdependent but also have significantly changed climate change, which causes nonlinearity nonstationarity weather data. Hence, ther...

different areas of modern financial tools and processes activities contain the matters like innovations in financial tools engineering and risk management. derivatives and especially stock exchange option is part of this innovation. among all numerical procedures in calculating the value of derivatives and the risk sensitivity parameters of option, binomial models are widely used. in this stud...

We, the dissertation committee for the above candidate for the Doctor of Philosophy degree, hereby recommend acceptance of this dissertation. 2012 The rapid advances in 3D scanning and acquisition techniques have given rise to the explosive increase of volumetric digital models in recent years. This dissertation systematically trailblazes a novel volu-metric modeling framework to represent 3D s...

We introduce a modeling constructor for micro-structures and porous geometry via curve-trivariate, surface-trivariate and trivariate-trivariate function (symbolic) compositions. By using 1-, 2and 3-manifold based tiles and paving them multiple times inside the domain of a 3-manifold deforming trivariate function, smooth, precise and watertight, yet general, porous/micro-structure geometry might...

In this paper we present a methodology to create higher order parametric trivariate representations such as B-splines or T-splines, from closed triangle meshes with higher genus or bifurcations. The input can consist of multiple interior boundaries which represent inner object material attributes. Fundamental to our approach is the use of a midsurface in combination with harmonic functions to d...

This paper presents a new inhomogeneous solid modeling paradigm for engineering design. The proposed paradigm can represent, model, and render multi-dimensional, physical attributes across any volumetric objects of complicated geometry and topology. A modeled object is formulated with a trivariate simplex spline defined over a tetrahedral decomposition of its 3D domain. Heterogeneous material a...