In this paper the problem of blending parametric surfaces is discussed. We present a constructing method of blending surfaces by parametric discrete interpolation PDE splines. These functions are obtained from some boundary conditions and a given interpolation data point set, by minimizing a...

Electric circuits, which produce oscillations at widely separated time scales, cause a huge computational effort in a numerical simulation of the mathematical model based on differential-algebraic equations (DAEs). Alternatively, a multidimensional signal model yields a description via multirate...

Droplets on insulators in outdoor high-voltage equipment move and leave water films on the insulating material. These films further the development of undesirable electric currents or even flash-overs. The paper deals with the behaviour of a single droplet laying on a solid support in a strong...

We present three approaches to value American continuous-installment options written on assets without dividends or with continuous dividend yield. In an American continuous-installment option, the premium is paid continuously instead of up-front. At or before maturity, the holder may terminate...

Companies spend millions of dollars on advertising to boost a brand's image and simultaneously spend millions of dollars on promotion that many believe calls attention to price and erodes brand equity. We believe this paradoxical situation exists because both advertising and promotion are...

Outdoor high-voltage equipment is exposed to rain and moisture. Water droplets on the surface of insulators influence negatively the insulating and hydrophobic material properties. The shape of the droplets signifies the state of the aging material. The present paper develops a numerical...

This paper considers an elliptic PDE with a small parameter multiplied with one of the derivatives. Recognizing the equation as an ill-posed equation, Tikhonov’s regularization is used to cast a related well-posed problem. A-priori estimates of the regularized solution and of the difference...

The paper presents an algorithm that solves two-point boundary-value problems that arise in economic control models in continuous time with an infinite time horizon and several state variables. The algorithm can determine optimal trajectories that converge to an isolated equilibrium point. It...