A new 3-dimensional interpolation method is introduced in this paper. Corresponding to the method a novel interpolation operator has been constructed and used to obtain results. The main objective is to develop a mechanical way of interpolation that does not require very high degree of knowledge...

The simplest modification to overcome the widely known shortcomings of classical Newton's method is fixed Newton's method. However, the numerical convergence of fixed Newton's method is too slow, which results in high consumption of CPU time and large number of iterations as the system's...

We develop a multiple-stage algorithm for detecting outliers in Ultra High-Frequency financial market data. We show that an efficient data filter needs to address four effects: the minimum tick size, the price level, the volatility of prices and the distribution of returns. We argue that...